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...roduced in the year 2002. The concept of bialgebraic structures which we define and study are slightly different from the bistructures using category theory of Girard's classical linear logic. We do not approach the bialgebraic structures using category theory or linear logic....

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...ordered in a paper bound reprint from: Books on Demand ProQuest Information & Learning (University of Microfilm International) 300 ... ...ine and study are slightly different from the bistructures using category theory of Girard's classical linear logic. We do not approach the bialgebr... ...inear logic. We do not approach the bialgebraic structures using category theory or linear logic. We can broadly classify the study under four he... ... o(G), then G has an element of order p. For more results about group theory please refer [23 & 27]. Now we proceed on to recall some basic conc... ...n be found in the book [121], the reader is expected to refer it for more information. 1.3 Groupoids and S-groupoids In this section we give... ...X or y ∈ X. Several other notions can be had from any textbook on ring theory. We just define two types of special rings viz group rings and semi... ...r spaces. We recall basic properties. The reader can refer [122] for more information. DEFINITION 1.5.13: The Smarandache semiring S which will be... ...generates (N, +) is called a distributively generated near-ring. In the theory of near-rings a major role is played by the notion called N-groups. ...

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...The author's motivating interest the past few years has been the development and dissemination of G-dimensional theory (GDT). K. Toshihara, from Japan, proposed the concept of a paper defining G-Dimensional theory in relation to the Smarandache quantum paradoxes. After reviewing a draft, Dr. M. L. Perez, Editor of the SNJ, suggested th...

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... L. Stephen Young G-DIMENSIONAL THEORY & THE SMARANDACHE QUANTUM PARADOXES: Comparative Logic and Mod... ...& THE SMARANDACHE QUANTUM PARADOXES: Comparative Logic and Modern Quantum Theory Table 1A. Elliptic Pa... ...Research Press Rehoboth 2001 2 L. Stephen Young G-DIMENSIONAL THEORY & THE SMARANDACHE QUANTUM PARADOXES: Comparative Logic and Mod... ...& THE SMARANDACHE QUANTUM PARADOXES: Comparative Logic and Modern Quantum Theory T a b l e o f C o n t e n t s Pa... ...g theoretical systems. Thus, the scientific paradox is a valuable source of information in comparing physical theories or in demonstrating the need ... ...cal, "marbles in a bag" geometry assumed in modern theory, which has little information to offer on intranuclear nucleon structure. 14. Assuming th... ...ing in an equal reflection angle with respect to the normal of the surface. Information transmitted concerning the matter field is limited to surfac... ... Snell's Law: (n i / n r = sinϕ r / sinϕ i ). [12] Atomic structural information of the through matter field is absent in VLS transmission. "... ...curs without transfer of momentum or energy, without transfer of structural information of the matter particles and occurs across the electromagneti...

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...ook can be ordered in microfilm format from: Books on Demand ProQuest Information & Learning (University of Microfilm International) ... ...s: J. Dezert (France), Charles Le (US), I. Stojmenovic (Canada). For more information on neutrosophics see the below links: • 0. Introduction: ... ... and instability of stable systems. Let's note by <A> an idea, or proposition, theory, event, concept, entity, by <Non-A> what is not <A>, and by <A... ... to measure the truth, indeterminacy, and falsehood. My hypothesis is that no theory is exempted from paradoxes, because of the language imprecisio... ...ssible unlike myopic algorithms that look at each iteration only at very local information as with steepest descent method. As in non-monotonic logi... ...f this: what would happen if a non-p conclusion occurred? The inconsistence of information shows up in the result, if not eliminated from the beginn... ...eria and the complementarity of various sources. For example, the Possibility Theory (Zadeh 1978, Dubois, Prade) gives a better approach than the F... ... Theory (Zadeh 1978, Dubois, Prade) gives a better approach than the Fuzzy Set Theory (Yager) due to self-improving connectives. The Possibility Th... ..., The AI Magazine, 81-83, 1984. Combination of paradoxical sources of information within the neutrosophic framework Dr. Jean Dezert Abstrac...

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...dered in a paper bound reprint from: Books on Demand ProQuest Information & Learning (University of Microfilm International) 300 ... ...hingOnline.com Peer reviewers: Sukanto Bhattacharya, School of Information Technology, Bond University, Australia; Dr. Jean Dezert, ONERA... ...ntion here that the Neutrosophic logic is a further generalization of the theory of Fuzzy Logic. In this book we study the concepts of Fuzzy Cogn... ...Fuzzy Visions of Society and Science in the Digital Age writes that fuzzy theory can offer more choices and blur the hard lines of power that define... ...f our age. We have, in our effort at introducing indeterminacy into Fuzzy theory, and by our construction of neutrosophic structures of modeling, on... ...ting to these concepts. An almost exhaustive bibliography relating to the theory of FCMs completes the book. Some of the varied applications of F... ...functions and for feature selection. 4. Use of a decision engine to fuse information from different types of detection modules in order to make dec... ... Conditions = – 0.3 VIII: Competitor’s advertisements = +.5 32 This information can be organized into stimulus input vector: (0, 0, 0, 0, 0.3, ... ...wing theorem is suggested by Kim H.S. and Lee K.C. and for more elaborate information refer [50]. THEOREM [50]. When a concept C i is (Q i ∩ M ...

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...This book is devoted to an emerging branch of Information Fusion based on new approach for modeling the fusion problematic when the information provided by the sources is both uncertain and (highly) conflicting. This approach, known in literature as DSmT (standing for De...

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...on the enumeration of isotone Boolean functions . . . 51 3.2.2 Ordering based on the DSm cardinality . . . 52 3.2.3 Ordering based on the intrinsic informational content . . . 56 3.3 Conclusion . . . . . 59 3.4 References . . . . . 60 4 Combination of beliefs on hybrid DSm models 61 4.1 Introduction . . . . . 61 4.2 On the independence of the sources of evidences ....

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...This second book devoted on advances and applications of Dezert-Smarandache Theory (DSmT) for information fusion collects recent papers from different researchers working in engineering and mathematics. Part 1 of this book presents the current state-of-the-art on theoretical investigations while, Par...

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...Preamble iii Prefaces v Part I Advances on DSmT 1 Chapter 1 Proportional Conflict Redistribution Rules for Information Fusion 3 by Florentin Smarandache and Jean Dezert 1.1 Introduction . . . . . . . . . . . 3 1.2 The principal rules of combination . . . . . . . 6 1.2.1 Notion of total and partial conflicting masses . . . . . ...

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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 1 are the contemporary issues that include the links between (1) data conditioning and info...

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...nality . . . . . . 46 1.6.3 The Generalized Pignistic Transformation . . . 47 1.7 The DSmP transformation . . . . . . . 48 1.7.1 The Probabilistic Information Content (PIC) . . . 49 1.7.2 The DSmP formula . . . . . . . 50 1.7.3 Examples for DSmP and BetP . . . . . . 51 1.8 Fusion of qualitative beliefs . . . . . . . 54 1.8.1 QualitativeOperators . . . . . . . 54 1....