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...In a world torn apart by a ruthless dictator, humanity is enslaved and on the verge of extinction. The governments have fallen. The cities lie in ruin. The only hope is a man who has been in exile for over a year....

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...ON Mike Saxton Copyright © 2010 All rights reserved – Mike Saxton No part of this book may be reproduced or transmitted in any form or by any means,... ... the permission, in writing, from the publisher. Eloquent Books An imprint of Strategic Book Group P.O. Box 333 Durham CT 06422 www.StrategicBookGroup... ...trategicBookGroup.com ISBN: 978-1-60911-286-8 Printed in the United States of America Book Design: Rolando F. Santos This book is dedicated to my wif... ...sidents got together to rebel against Zodiac’s forces and a group of them set up shop in the ruins of the former capital. Somehow, some way, the See... ...as quite a distance away, they could see that there were various weaponry systems on it, includ- ing chain guns and missile launchers. “Come on, befo... ...wered as he found the rope, grabbed it, then shut the trunk. Vincent had set the Seeker down on the road a few feet away at this point and Josh bro... ...incent asked seeming agi- tated. “That’s what I heard. Not a bad idea huh? Set up those dorms as barracks,” Josh said with a smile on his face. “Stup... ... how it managed to fy in the frst place as it had no apparent propulsion systems. A side door opened and an individual stepped out. He was tall, we... ...o various areas of the world. It was heavily armored and had more backup systems than anyone could have ever imagined. It even had an escape pod fo...

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...ed a moment to reflect, to be alone with your thoughts, this book will help you rediscover your inner compass. The Point in the Heart is a collection of excerpts from a man whose wisdom has earned him devoted students worldwide. Michael Laitman, a scientist and a Kabbalist, presents ancient wisdom in a compelling style. These stormy days, his site, www.kabbalah.info, offer...

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...The Point in the Heart A Source of Delight for My Soul Michael laitMan l ait Man Kabbalah Publishers 3 T... ...aitMan l ait Man Kabbalah Publishers 3 The Point in the Heart A Source of Delight for My Soul 4 the Point in the heart A Source of Delight for My... ... 85th street #51, brooklyn, new York, 11214, usa Printed in canada no part of this book may be used or reproduced in any manner without written permi... ...orce of life come from? Where can it be found? in atoms? in molecules? in systems within the cells? i discovered that science does not research tha... ...nse the concealed world and study it scientifically. the different belief systems and religions are theories re- garding the hidden world (God) and t... ... elsewhere, to the question regarding the meaning of life: “indeed, if we set our hearts to answer but one very fa- mous question, i am certain that ... ...aLevi Ashlag (The Rabash), Michael Laitman, Professor of Ontology and the Theory of Knowledge, PhD in Philosophy and Kabbalah, and MSc in Medical Bi... ...well as an annual convention in Israel. These gather- ings provide a great set ing for meeting like-minded peo- ple, for bonding, and for expanding on...

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...ed His Essence, the Upper Force, and this is what we perceive as our world. As uncanny as it sounds, this notion hides in its wings the very prospect of freedom, for every person, for every nation, and for the entire world. The structure and the perception of reality are the surface of this book. But the story of humanity, or more accurately, of the human soul, is the und...

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... By Rav Michael Laitman PhD The Path of Kabbalah By Rav Michael Laitman PhD LAITMAN KABBALAH PUBLISHERS T... ...of Kabbalah By Rav Michael Laitman PhD LAITMAN KABBALAH PUBLISHERS The Path of Kabbalah Executive Editor: Benzion Giertz Editor: Claire Gerus Tra... ....kabbalah.info Laitman Kabbalah Publishers E-mail: info@kabbalah.info THE PATH OF KABBALAH Copyright © 2005 by MICHAEL LAITMAN. All rights reserved. P... ...e, just as two computers can appear identical but use two different operating systems. All religions rely on one’s efforts to receive rewards in this... ...ith the Creator, phases of closeness to the Creator. The goal that the Creator set for us is that while being in this world, we will work on ourselve... ...Thus, we only feel the environmental phenomena that correspond to our sensory systems. Moreover, we cannot really feel anything outside us, only our ... ...d understand the universe. • Allow Creation the freedom of choice. The Creator set up these conditions in a gradual process. The prob- lem is that as ... ...— but toward something that is outside it the Creator. There are two operating systems that the soul can use to evaluate reality: 1. The egoistic for... ...ifferent names and a high- er spiritual degree. The male and female states are set in each of the 125 degrees. If that is the case, then how should m...

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...amples from science and Kabbalah that the ego stands behind all human suffering, but also shows how we can use it to our benefit. With clear analyses of the human soul and its problems, the book provides a 'roadmap' indicating how we can achieve a new level of existence and fulfillment....

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...Chaos to Harmony The Solution to the Global Crisis According to the Wisdom of Kabbalah Rav Michael Laitman, PhD Translation: Chaim Ratz Editor: C... ...M CHAOS TO HARMONY The Solution to the Global Crisis According to the Wisdom of Kabbalah Copyright © 2006 by MICHAEL LAITMAN All rights reserved P... ...uentin Rd, 2nd floor, Brooklyn, New York, 11223, USA Printed in Canada No part of this book may be used or reproduced in any manner without written p... ... began to study Bio-cybernetics, a field of knowledge that researches life’s systems and the order that dictates their existence. I had hoped that ... ...l. “I realized I had to look elsewhere for a place to learn about the overall systems of reality. Consequently, I turned to philosophy, then to reli... ...sires changed the face of human- ity, introducing social classes, hierarchical systems, and changes in the socioeconomic structures. Subsequently, th... ...able, and they are the ones we think about.” Or, more concisely, “How we can set this wheel of thought-desire-thought in motion?” Here is where the ... ...mals behave in this manner, and we shall briefly review the leading ones. The theory of “Group Selection” asserts that altruism serves the good of t... ...ch an animal be- longs, hence the specific animal is rewarded by it, too. The theory of “Kin Selection” explains that if altruism is turned toward t...

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...The story of how the founder of the Famous Amos Cookie Company lost everything, including his name----and turned adversity into opportunity. This revealing book chronicles Wally's loss of the cookie empire that he had built, to the ope...

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...CENSORED* How the founder of the Cookie Company lost everything, including his nome - and turned adv... ...ng P.O. Box 108 Lower Lake, CA 95457 (707) 995-1861 For a free catalog of all our titles, or to order more copies of this book please call (800)... ...or to order more copies of this book please call (800) 275-2606. Library of Congress Cataloging-in-Publication Data Amos, Wally. Man with no name:... ...ted me from re-entering the cookie business for a period of two years. I set out to dedicate the two years ahead to improving my world in ways othe... ...d now I had a chance to treat my life as a living laboratory and put this theory to the test. I resolved to be easy on myself and to approach the fu... ... I opened the first gourmet chocolate chip cookie store in the world and set off a culinary explosion still reverberating to this day. Because I wa... ... about every black community in the South, Friday night was traditionally set aside for fish fries, as these combina­ tion dinners and social events ... ...e, Kiyosaki shows the root fallacies on which everything from our grading systems to our school hours are based, and demonstrates that we must make ...

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...The Book of Zohar (The Book of Radiance) is an ageless source of wisdom and the basis for all Kabbalistic literature. Since its appearance nearly 2,000 years ago, it has been the primary, and often only, source used by Kabbalists. ...

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...in Rd, 2nd floor, Brooklyn, New York, 11223, USA Printed in Israel No part of this book may be used or reproduced in any manner without written permi... ...s book may be used or reproduced in any manner without written permission of the publisher, except in the case of brief quotations embodied in criti... ...ase of brief quotations embodied in critical articles or reviews. Library of Congress Cataloging-in-Publication Data Laitman, Michael. The Zohar: a... ...s said, ‘MA, how glorious Your name is throughout all the earth, which You set Above the Heavens, it ascends in name.’ That is why it created Light f... ...HE ZOHAR the property that distinguishes it from the others, by the unique set of letters- properties that forms its name. Malchut is called Shechina ... ...ately following, the letter Tav departed from Him. The moment the Creator set about creating the world-ZON by selecting their properties, all twenty... ... parallel to the pure one. Our world is located under these two spiritual systems. Our world is also called egoistic and impure, but its forces and ... ...ter’s properties, as the Creator created two precisely balanced, opposing systems of pure and impure forces, this reveals the letter’s inability to r... ...e the souls of the world of Atzilut, for the Creator created two opposite systems in the worlds BYA: the system of darkness and bitterness opposite ...

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...Kabbalah Revealed: The Ordinary Person’s Guide to a More Peaceful Life is a clearly-written, user-friendly guide to making sense of the surrounding world while achieving inner peace. Each of the six chapters in this book focuses on a different aspect of the ancient wisdom of Kabbalah, shedding new light on a teaching that has too often been shrouded in...

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...uentin Rd, 2nd floor, Brooklyn, New York, 11223, USA Printed in Canada No part of this book may be used or reproduced in any manner without written ... ...this book may be used or reproduced in any manner without written permission of the publisher, except in the case of brief quotations embodied i... ...e case of brief quotations embodied in critical articles or reviews. Library of Congress Cataloging-in-Publication Data Laitman, Michael. Kabbalah... ...rote the introduc- tion to this book, is the founder and foremost exponent of Systems Philosophy and General Evolution Theory. Born in Budapest, Hun... ...the founder and foremost exponent of Systems Philosophy and General Evolution Theory. Born in Budapest, Hungary in 1932, Laszlo made his debut as a... ...to protect the environment, create effective food and resource distri- bution systems, develop and use sustainable energy, trans- port, and agricultu... ...rot: Hesed, Gevura, Tifferet, Netzah, Hod, and Yesod. Therefore, the complete set of Sefirot is Keter, Hochma, Bina, Hesed, Gevura, Tifferet, Netzah,... ...he names.  The Origin of Creation 65 The next thing that Malchut does is to set up a mechanism that examines the Light (pleasure) and decides if ... ... ego does not see a preferable choice, we can choose according to a different set of values. For exam- ple, we could ask ourselves not what would be ...

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...Teenage twins James and Samantha Blake are caught up in a seemingly random terrorist bombing while on a school trip. Many of their friends are killed. When the twins wake up in hospital, their lives have changed forever.The doctors are amazed at the speed with which James and Sam recover from their injuries and, when the twins begin to exhibit e...

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...shed in Great Britain in 2011 by Elucidox Ltd ISBN: 978-1-908785-00-8 The right of Stephen Henning to be identified as the Author of the Work has b... ...by any means with prior permission in writing from the publishers or in the case of reprographic production in accordance with the terms of licences... ... the Copyright Licensing Agency and may not be otherwise circulated in any form of binding or cover other than that in which it is published and wi... ...i sitting next to her. Anika was tearing out sheets of paper from another girl’s set of Imperial War Museum worksheets, screwing them up, and handi... ...cked her moment as James Blake came grimly and steadfastly towards her, his face set and his eyes strangely cold, like the Terminator. She would cut... ...r hair back and then was gone. Or maybe she had dreamed that bit? The coach had set off at 07:03 from South Ealing Comprehensive School, with 30 ch... ...oors. A fire alarm cranked into life. James wondered if the lifts had sprinkler systems fitted. The lift was still rising but there did not seem to... ...and the almost ghostly story that had been told about Emma, made her nervous. In theory there was nothing that could happen to harm her if she appro... ...that he’d had on the coach. Could he hit a girl? Particularly a girl who was, in theory, in a critical medical condition? His mind wandered for a sp...

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...The Book of Zohar (Book of Radiance) is perhaps the most mysterious composition ever written. It contains the secrets of the whole of Creation, but until recently these secrets were shrouded in mystery and misconceptions. Now the Zo...

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... 85th Street #51, Brooklyn, New York, 11214, USA Printed in canada No part of this book may be used or reproduced in any manner without written permis... ...is book may be used or reproduced in any manner without written permission of the publisher, except in the case of brief quotations embodied in critic... ... embodied in critical articles or reviews. ISBN 978-1-897448-59-5 Library of congress control Number: 2011903649 copy Editor: c. gerus Associate Ed... ...n describes the 32 paths towards affecting the whole of reality—how these systems work, and how they chapter 3: The zohar Returns to All 37 cascad... ... land of the east”. 12 Those gifts are the foundations of all the belief systems that people would follow for millennia until they ripen and grow. ... ... u T T h e k i nG a n d T h e Q u e e n aA In all of Israel’s exiles, He set a time and an end to all of them. And in all of them, Israel return to... ...e creator, and the virgin of Israel, Malchut, returns to her place at the set time. But now, in the last exile, it is not so. She will not return a... ...igns an alliance with the other side. In human society, we have built many systems to allow us to live with minimal friction between the inner Kelim ... ... I already know that in them I will feel the taste of life. Indeed, if we set our hearts to answer but one very famous question, I am certain that a...

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...Matrix theory has been one of the most utilised concepts in fuzzy models and neutrosophic models. From solving equations to characterising linear transformations or linear operators, matrices are used. Matrices find their applicat...

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... an advanced tool which can handle over one linear model at a time. Bimatrices will be useful when time bound comparisons are needed in the analysis of the model....

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... INTRODUCTION TO BIMATRICES W. B. Vasantha Kandasamy Department of Mathematics Indian Institute of Technology, Madras Chennai – 600036,... ...c.in web: http://mat.iitm.ac.in/~wbv Florentin Smarandache Department of Mathematics University of New Mexico Gallup, NM 87301, USA e-mail: ... ... Books on Demand ProQuest Information & Learning (University of Microfilm International) 300 N. Zeeb Road P.O. Box 1346, Ann A... ...ACES AND THEIR PROPERTIES 2.1 Introduction to Bivector Spaces 79 2.2. Systems of linear biequations 87 2.3 Bitransformation in bivector space... ...way, for, in all our analysis we would not in general get a solution from a set we have started with. Only this incompleteness led to the invention ... ... the notion of overlap bimatrices. Throughout this book Z will denote the set of integers both positive, negative with zero, R the reals, Q the se... ...positive, negative with zero, R the reals, Q the set of rationals and C the set of complex numbers. Z n will denote the set of integers modulo n. ... ... properties in section one. In section two for the first time the notion of systems of linear biequations are introduced. Section three deals with b... ...o sub-bivector space of V as P is a pseudo bivector space over F. 2.2 Systems of linear biequations In this section we start to view the con...

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...It was known to me his setting up in 1980’s of a new literary and artistic avant-garde movement that he called “paradoxism”, because I received some books and papers dealing with it in order to review them for the German journal “Zentralblatt fár Mathematik”. It was an...

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...Paradoxism is an avant-garde movement in literature, art, philosophy, science, based on excessive used of antitheses, antinomies, contradictions, parables, odds, paradoxes in creations....

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...A UNIFYING FIELD IN LOGICS: NEUTROSOPHIC LOGIC. NEUTROSOPHY, NEUTROSOPHIC SET, NEUTROSOPHIC PROBABILITY. (third edition) NL(A 1 I A 2 ) = ( T ... ...A UNIFYING FIELD IN LOGICS: NEUTROSOPHIC LOGIC. NEUTROSOPHY, NEUTROSOPHIC SET, NEUTROSOPHIC PROBABILITY. (third edition) NL(A 1 I A 2 ) = ( T ... ...ace by Charles T. Le: 3 0. Introduction: 9 1. Neutrosophy - a new branch of philosophy: 13 2. Neutrosophic Logic - a unifying field in logics: 87 ... ...3 2. Neutrosophic Logic - a unifying field in logics: 87 3. Neutrosophic Set - a unifying field in sets: 112 4. Neutrosophic Probability - a genera... ...nifying field in sets: 112 4. Neutrosophic Probability - a generalization of classical and imprecise probabilities - and Neutrosophic Statistics: 11... ...painter Florentin Smarandache, especially because the treated subject was of philosophy - revealing paradoxes - and logics. He had generalized the... ...lligence, neural networks, evolutionary programming, neutrosophic dynamic systems, and quantum mechanics. Especially in quantum theory there i... ...the uninterpretable; - regards, from many different angles, old concepts, systems: showing that an idea, which is true in a given referential system... ...d to make war in the peaceful ideas; - measures the stability of unstable systems, and instability of stable systems. D) Methods of Neutrosophic S...

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...As an alternative to the existing logics we propose the Neutrosophic Logic to represent a mathematical model of uncertainty, vagueness, ambiguity, imprecision, undefined, unknown, incompleteness, inconsistency, redundancy, contradiction. It is a non-classical logic. Eksioglu (1999) explains some of them: “Imprecision of the human sy...

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... Florentin Smarandache editor Proceedings of the First International Conference on Neutrosophy, Neutrosophic L... ...rst International Conference on Neutrosophy, Neutrosophic Logic, Neutrosophic Set, Neutrosophic Probability and Statistics ... ...phic Probability and Statistics University of New Mexico - Gallup 1-3 December 2001 (sec... ... (second printed edition) FLORENTIN SMARANDACHE editor PROCEEDINGS OF THE FIRST INTERNATIONAL CONFERENCE ON NEUTROSOPHY, NEUTROSOPHIC ... ...ST INTERNATIONAL CONFERENCE ON NEUTROSOPHY, NEUTROSOPHIC LOGIC, NEUTROSOPHIC SET, NEUTROSOPHIC PROBABILITY AND STATISTICS ... ... First International Conference on Neutrosophy, Neutrosophic Logic, Set, Probability and Statistics December 1-3, 2001 University of... ...rets the uninterpretable; - regards, from many different angles, old concepts, systems: showing that an idea, which is true in a given referential s... ... and to make war in the peaceful ideas; - measures the stability of unstable systems, and instability of stable systems. Let's note by <A> an id... ...sical logic. Eksioglu (1999) explains some of them: “Imprecision of the human systems is due to the imperfection of knowledge that humain receives ...

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...This book was intended to discuss some paradoxes in Quantum Mechanics from the viewpoint of Multi-Valued-logic pioneered by Lukasiewicz, and a recent concept Neutrosophic Logic. Essentially, this new concept offers new insights on the idea of ‘identity’, which too often it has been accepted as given....

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...lti-Valued-logic: History and Introduction to Multi- Valued Algebra 2.1 Introduction to trivalent logic and plurivalent logic We all have heard of typical binary logic, Yes or No. Or in a famous phrase by Shakespeare: “To be or not to be.” In the same way all computer hardwares from early sixties up to this year are built upon the same binary logic. It is known t...

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...Multi-Valued Logic: History and Introduction to Multi-Valued Algebra 10 2.1. Introduction to trivalent logic and plurivalent logic 10 2.2. History of Lukasiewicz and Multi-Valued Logic 12 2.3. Introduction to Multi-Valued Algebra, Chang’s Notation 15 2.4. Linkage between Multi-Valued Logic and Quantum Mechanics 15 2.5. Exercise 17 3 Neutrosophy 25 3.1. Introduction...

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... interval, neutrosophic, etc. We survey also results which show the tree different proof-theoretic frameworks for many-valued logics, e.g. frameworks of the following deductive calculi: Hilbert ’s style, sequent, and hypersequent. Recall that hypersequents are a natural generalization of Gentzen ’s style sequents that was introduced independently by Avron and Pottinger . ...

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...1.1 Neutrality concept in logic Every point of view A tends to be neutralized, diminished, balanced by Non-A. At the same time, in between A and Non-A there are infinitely many points of view Neut-A. Let’s note by A an idea, or proposition, theory, event, concept, enti...

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...Lukasiewicz’s logics. . . . . . . . . . . . . . . 27 3.1 Preliminaries . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 27 3.2 Originality of (p + 1)-valued Lukasiewicz’s logics . . . . . . . . . 30 3.3 n-valued Lukasiewicz’s calculi of Hilbert’s type . . . . . . . . . . 32 3.4 Sequent calculi for n-valued Lukasiewicz’s logics . . . . . . . . . . 33 3.5 Hy...

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...Applications demonstrate the power of the DSmT framework. In this third Volume, DSmT is applied to the entire spectrum of the Information Fusion that would interest any reader in data, sensor, information, and mathematical fusion topics. Highlighted in Figure ...

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... I Advances on DSmT 1 Chapter 1 An introduction to DSmT 3 by J. Dezert and F. Smarandache 1.1 Introduction . . . . . . . . . . 4 1.2 Foundations of DSmT . . . . . . . . . 4 1.2.1 The power set, hyper-power set and super-power set . . 6 1.2.2 Notion of free and hybrid DSm models . . . . 18 1.2.3 Generalized belief functions . . . . . . 20 1.2.4 The classic DSm rule...

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...In The 2nd Conference on Combinatorics and Graph Theory of China (Aug. 16-19, 2006, Tianjing), I formally presented a combinatorial conjecture on mathematical sciences (abbreviated to CC Conjecture), i.e., a mathematical science can be reconstructed from or made by combinat...

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...1.5 ENUMERATION TECHNIQUES 1.5.1 Enumeration Principle. The enumeration problem on a finite set is to count and find closed formula for elements in this set. A fundamental principle for solving this problem in general is on account of the enumeration principle: For finite sets X and Y , the equality |X| = |Y | holds...

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...Chapter 1. Combinatorial Principle with Graphs . . . . . . . . . . 1 1.1 Multi-sets with operations. . . . . . . . . . . . . . . . . . . . .2 1.1.1 Set . . . . . . . . . . . . . . . . . . . . . . . . . 2 1.1.2 Operation . . . . . . . . . . . . . . . . . . . . . . . . . 3 1.1.3 Boolean algebra . . . . . . . . . . . . . . . . . . . . . . . . . . 5 1.1.4 Multi-Set . . . ...

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...In this book for the first time we have ventured into the total analysis of migrant labourers in rural Tamil Nadu who are victims of HIV/AIDS using FCM, BAM and Neutrosophic Cognitive Maps. As in our study and analysis we felt several of the factors related with the psycho, socio, economic problem...

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...Migration acquires great significance in the study of peoples and populations, for it not only involves the merely mathematical spatial redistribution of people, but also because it has enormous impact on livelihood, life-styles, employment, socioeconomic and political stabil...

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...W. B. VASANTHA KANDASAMY FLORENTIN SMARANDACHE ANALYSIS OF SOCIAL ASPECTS OF MIGRANT LABOURERS LIVING WITH HIV/AIDS USING FUZZY ... ...ce To Rural Tamilnadu In India XIQUAN Phoenix 2004 ANALYSIS OF SOCIAL ASPECTS OF MIGRANT LABOURERS LIVING WITH HIV/AIDS USING FUZZY T... ...rence To Rural Tamilnadu In India W. B. Vasantha Kandasamy Department of Mathematics Indian Institute of Technology, Madras Chennai – 600036, I... ...ference in status between men and women, supported by social and cultural systems make it difficult for women to take preventive and safe-sex measur... ... preventive and safe-sex measures. Further, the patriarchal Indian family set-up ensures tragically that men do not divulge their HIV seropositivity... ...cludes the graph-search techniques used in artificial- intelligence expert systems. FCMs feedback allows experts to freely draw causal pictures of th... ...odes. DEFINITION 2.2.3: FCMs with edge weights or causalities from the set {–1, 0, 1}, are called simple FCMs. DEFINITION 2.2.4: Consider the n... ...ivation is to study the combined effect of the system we now for the same set of seven attributes seek the opinion of another expert. The directed g... ... structure of the world embed so deeply in both neural networks and fuzzy systems, it is very appropriate to study the psychological effects of HIV/...

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...This work covers a substantial mosaic of related concepts in utility theory as applied to financial decision-making. It reviews some of the classical notions of Benthamite utility and the normative utility paradigm offered by the von Neumann-Morgenstern expected ...

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... 1 1 HEXIS Phoenix 2005 1 Sukanto Bhattacharya Department of Business Administration Alaska Pacific University, U.S.A. Ut... ... Books on Demand ProQuest Information & Learning (University of Microfilm International) 300 N. Zeeb Road P.O. Box 1346, Ann Arb... ...ib.umi.com/bod/search/basic Peer Reviewers: 1) Liu Feng, School of Information, Xi'an University of Finance and Economics, (Xi'an caijing ... ...le quantity; measurable in terms of the expected information content of a set of alternative choices. The entropic notion of utility is subsequently... ...ss. But there 9 will definitely be enterprising people who will happily set off in their cars without a thought! The economics of general ... ...eoclassical economics and classical thermal physics seek to model natural systems in terms of solutions to constrained optimization problems. Both e... ... in significant estimation errors. This means that all linear predictive systems tend to break down once a rationalization loop has been generated.... ...wn Dempster’s rule (Zadeh, 1979). Let Θ = {θ 1 , θ 2 … θ n } stand for a set of n mutually exhaustive, elementary events that cannot be precisely d... ...gm for Cognitive Science Application in the Design of Artificial Learning Systems. Smarandache Notions Journal, 13, 2002: 43-47. Aronson, E. Diss...

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...In this book, we study the subject of Smarandache Fuzzy Algebra. Originally, the revolutionary theory of Smarandache notions was born as a paradoxist movement that challenged the status quo of existing mathematics. The genesis of Smarandache Notions, a field f...

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...DACHE FUZZY ALGEBRA W. B. Vasantha Kandasamy Department of Mathematics Indian Institute of Technology Madras Chennai – 600 036, I... ...ations and their Smarandache analogues. The pictures on the left, composed of concentric circles, depicts the traditional conception of algebraic str... ...picts the traditional conception of algebraic structures, and the pictures of the right, with their liberal intersections, describe Smarandache algeb... ...CE In 1965, Lofti A. Zadeh introduced the notion of a fuzzy subset of a set as a method for representing uncertainty. It provoked, at first (and a... ...rmulated the fuzzy subset concept. He defined fuzzy subset of a non-empty set as a collection of objects with grade of membership in a continuum, wi... ...ct being assigned a value between 0 and 1 by a membership function. Fuzzy set theory was guided by the assumption that classical sets were not natur... ...deal of S. 136 Now we proceed on to recall the definition of fuzzy m-systems. DEFINITION 1.10.4: A fuzzy subset f of S is called fuzzy m-sys... ...y polynomial semiring, and finally the concept of fuzzy opposite sets and systems. Now we proceed on to recall the concept of fuzzy continuous map o... ...er. Now we proceed on to define a system called fuzzy opposite sets and systems. This system happens to be opposite of the system [0, 1] denoted [...

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...introduction of neutrosophic theory has put forth a significant concept by giving representation to indeterminates. Uncertainty or indeterminacy happen to be one of the major factors in almost all real-world problems. When uncertainty is ...

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...to Fuzzy and Neutrosophic Models W. B. Vasantha Kandasamy Department of Mathematics Indian Institute of Technology, Madras Chennai – 600036,... ...c.in web: http://mat.iitm.ac.in/~wbv Florentin Smarandache Department of Mathematics University of New Mexico Gallup, NM 87301, USA e-mail: ... ... Books on Demand ProQuest Information & Learning (University of Microfilm International) 300 N. Zeeb Road P.O. Box 1346, Ann A... ...up under addition. Z(I) denote the additive abelian group generated by the set Z and I, Z(I) is called the neutrosophic abelian group under ‘+’. ... ... over the neutrosophic field K(I ). By basis we mean a linearly independent set which spans the neutrosophic space. Now we illustrate with an exampl... ...he diagraphs are used in the representation of Binary relations on a single set. Thus one of the forms of representation of a fuzzy relation R(X, X)... ... SERVICES NEW PRODUCT INTER- ORGANISATIONAL EFFICIENCY INFORMATION SYSTEMS EVALUATION INTERNAL EFFICIENCY NEW ENTRANTS BUSINESS COMP... ... Baets, B., and Kerre, E.E., Fuzzy Relational Compositions, Fuzzy sets and Systems, 60, (1993), 109- 120. 15. Dirac, G.A., Some Theorems on Abstrac... ...s by consensus concept and fuzzy relational equations, Intern. J of General Systems, 10, (1984), 47-56. 25. Holton, D.A., and Sheehan, J., The P...