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... W. B. VASANTHA KANDASAMY FLORENTIN SMARANDACHE FUZZY RELATIONAL MAPS AND NEUTROSOPHIC RELATIONAL MAPS HEXI... ...OSOPHIC RELATIONAL MAPS HEXIS Church Rock 2004 1 FUZZY RELATIONAL MAPS AND NEUTROSOPHIC RELATIONAL MAPS W. B. Vasan... ... i c a t i o n 6 P r e f a c e 7 Chapter One FUZZY RELATIONAL EQUATIONS: BASIC CONCEPTS AND PROPERTIES 1.1 Fuzzy Rel... ... Fuzzy Relational Equations and their properties 10 1.2 Properties of Fuzzy Relations 16 1.3 Fuzzy compatibility relations and composition o... ...In this section we just recollect the properties of fuzzy relations like, fuzzy equivalence relation, fuzzy compatibility relations, fuzzy ordering ... ...more about these concepts please refer [43]. Now we proceed on to define fuzzy equivalence relation. A crisp binary relation R(X, X) that is reflex... ...inary relation R(X, X) that is reflexive, symmetric and transitive is called an equivalence relation. For each element x in X, we can define a crisp... ...sp set A x , which contains all the elements of X that are related to x, by the equivalence relation. A x = {y ⏐(x, y) ∈ R (X, X)} A x is cl... ...ed to any element of X not included in A x . This set A x is referred to an as equivalence class 17 of R (X, X) with respect to x. The members...
...The aim of this book is two fold. At the outset the book gives most of the available literature about Fuzzy Relational Equations (FREs) and its properties for there is no book that solely caters to FREs and its applications. Though we have a comprehensive bibliography, we do not promise to give all the possible available literature...
... Combinatorial enumeration; Low Dimensional Topology; Differential Topology; Topology of Manifolds; Geometrical aspects of Mathematical Physics and Relations with Manifold Topology; Applications of Smarandache multi-spaces to theoretical physics; Applications of Combinatorics to mathematics and theoretical physics; Mathematical theory on gravitational fields; Mathemati...
... how the Zagreb indices, a particular case of Smarandache-Zagreb index of a graph changes with these operators and extended these results to obtain a relation connecting the Zagreb index on operators. Key Words: Subdivision graph, ladder graph, Smarandache-Zagreb index, Zagreb index, graph operators. ...
...SI Hypergraph Partitioning Using Taguchi Methods BY P.SUBBARAJ, S.SARAVANASANKAR and S.ANAND . . . . . . . . . . . . . . . . 69 Negation Switching Equivalence in Signed Graphs BY P.SIVA KOTA REDDY, K.SHIVASHANKARA and K.V.MADHUSUDHAN. . . . . . 85 Weak and Strong Reinforcement Number For a Graph BY PINAR DUNDAR, TUFAN TURACI and DERYA DOGAN. . . . . . . . . . . . . ....
.... . . . . . . . 70 Entire Semitotal-Point Domination in Graphs BY B.BASAVANAGOUD, S.M.HOSAMANI and S.H.MALGHAN. . . . . . . . . . . . . . .79 On k-Equivalence Domination in Graphs BY S.ARUMUGAM and M.SUNDARAKANNAN. . . . . . . . . . . . . . . . . . . . . . . 86 On Near Mean Graphs BY A.NAGARAJAN, A.NELLAI MURUGAN and S.NAVANEETHA KRISHNAN. . . . . . 94 On Pathos Lic...
... manifolds with higher dimension are inspired by the Riemann surfaces. The relation of maps with Riemann surfaces has been known in 80s in the last ce... ...etries, maps and the semi-arc automorphism group of a graph. Preface ii A relation for maps and Smarandache manifolds (abbreviated s-manifolds) and a... ...oted maps are established in this chapter. The last section determines the relation of the number of embeddings and rooted maps of a graph on genus. A... ...me for enumerating maps underlying a graph.........................17 §4 A relation among the total embeddings and rooted maps of a graph on genus20 4... ...pty boundary and to be analytic functions. Whence, we have the following relation: {Riemann Sufaces}⊂{Klein surfaces}. The upper half planeH ={z∈C|I... ...re exists an isomorphism ζ between them induced by an element ξ. Call ζ an equivalence between M 1 ,M 2 . Certainly, on an orientable surface, an equi... ...t1 2 Γ such that P ζ 1 = P 2 or P ζ 1 = P −1 2 . Proof By the definition of equivalence between maps, if κ is an equivalence between M 1 and M 2 , then... ...ducedtheconformalmappingbetween maps. Then, how can we define the conformal equivalence for maps enabling us to get the uniformiza- tion theorem of map...
...s and their Socio-economic Conditions 5.1 Use of FRM in the study of relation between HIV/AIDS migrants and their socio-economic condition... ...he problem of HIV/AIDS Migrant Labourers 271 5.5 Linked Neutrosophic Relational Maps and its application to Migrant Problems 288 5.6 Comb... ...ctims. This study is done in Chapter IV. In chapter V we use Neutrosophic Relational Maps and we define some new neutrosophic tools like Combined Di... ...onomic terms, while ignoring that migration is 8 the result of an inter-relationship of an aggregate of several factors. As a part of our resear... ...e vital role of religious faith. Finally as several interlinking of the relations and its effect on the nodes in some cases may remain to be an in... ...s given by {A 1 , A 2 , …,A 6 } and {G 1 G 2 … G 5 }. Let us divide into equivalence classes. C 1 = {(A 1 A 2 ) (G 1 G 4 )} and C 2 = {(A 3...