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 about FRE and its applications. We have given only those papers which we could access and which interested us specially. We have taken those papers which in our opinion could be transformed for neutrosophic study. The second importance of this book is that for the first time we introduce the notion of Neutrosophic Relational Equations (NRE) which are analogous structure of FREs. Neutrosophic Relational Equations have a role to play for we see that in most of the real-world problems, the concept of indeterminacy certainly has its say; but the FRE has no power to deal with indeterminacy, but this new tool NRE has the capacity to include the notion of indeterminacy. So we feel the NREs are better tools than FREs to use when the problem under investigation has indeterminates. Thus we have defined in this book NREs and just sketched its probable applications. This book has five chapters. The first chapter is a bulky one with 28 sections. These sections deal solely with FREs and their properties. By no means do we venture to give any proof for the results for this would make our book unwieldy and enormous in size. For proofs, one can refer the papers that have been cited in the bibliography.
Hexis: Church Rock
Fuzzy Relational Equations, Neutrosophic Relational Equations, neutrosophic logic
W.B. Vasantha Kandasamy & F. Smarandache. FUZZY RELATIONAL MAPS AND NEUTROSOPHIC RELATIONAL MAPS. Church Rock: Hexis, 2004.
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