Fuzzy Semigroups
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Fuzzy Semigroups
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Author : John N. Mordeson
language : en
Publisher: Springer
Release Date : 2012-11-03
Fuzzy Semigroups written by John N. Mordeson and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-11-03 with Mathematics categories.
Lotfi Zadeh introduced the notion of a fuzzy subset of a set in 1965. Ris seminal paper has opened up new insights and applications in a wide range of scientific fields. Azriel Rosenfeld used the notion of a fuzzy subset to put forth cornerstone papers in several areas of mathematics, among other discplines. Rosenfeld is the father of fuzzy abstract algebra. Kuroki is re sponsible for much of fuzzy ideal theory of semigroups. Others who worked on fuzzy semigroup theory, such as Xie, are mentioned in the bibliogra phy. The purpose of this book is to present an up to date account of fuzzy subsemigroups and fuzzy ideals of a semigroup. We concentrate mainly on theoretical aspects, but we do include applications. The applications are in the areas of fuzzy coding theory, fuzzy finite state machines, and fuzzy languages. An extensive account of fuzzy automata and fuzzy languages is given in [100]. Consequently, we only consider results in these areas that have not appeared in [100] and that pertain to semigroups. In Chapter 1, we review some basic results on fuzzy subsets, semigroups, codes, finite state machines, and languages. The purpose of this chapter is to present basic results that are needed in the remainder of the book. In Chapter 2, we introduce certain fuzzy ideals of a semigroup, namely, fuzzy two-sided ideals, fuzzy bi-ideals, fuzzy interior ideals, fuzzy quasi ideals, and fuzzy generalized bi-ideals.
Fuzzy Semigroups
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Author : John N. Mordeson
language : en
Publisher: Springer Science & Business Media
Release Date : 2003-07-10
Fuzzy Semigroups written by John N. Mordeson and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-07-10 with Computers categories.
The purpose of this book is to present an up to date account of fuzzy subsemigroups and fuzzy ideals of a semigroup. The book concentrates on theoretical aspects, but also includes applications in the areas of fuzzy coding theory, fuzzy finite state machines, and fuzzy languages. Basic results on fuzzy subsets, semigroups, codes, finite state machines, and languages are reviewed and introduced, as well as certain fuzzy ideals of a semigroup and advanced characterizations and properties of fuzzy semigroups.
Semigroups Algebras And Operator Theory
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Author : P G Romeo
language : en
Publisher: Springer
Release Date : 2015-07-06
Semigroups Algebras And Operator Theory written by P G Romeo and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-07-06 with Mathematics categories.
This book discusses recent developments in semigroup theory and its applications in areas such as operator algebras, operator approximations and category theory. All contributing authors are eminent researchers in their respective fields, from across the world. Their papers, presented at the 2014 International Conference on Semigroups, Algebras and Operator Theory in Cochin, India, focus on recent developments in semigroup theory and operator algebras. They highlight current research activities on the structure theory of semigroups as well as the role of semigroup theoretic approaches to other areas such as rings and algebras. The deliberations and discussions at the conference point to future research directions in these areas. This book presents 16 unpublished, high-quality and peer-reviewed research papers on areas such as structure theory of semigroups, decidability vs. undecidability of word problems, regular von Neumann algebras, operator theory and operator approximations. Interested researchers will find several avenues for exploring the connections between semigroup theory and the theory of operator algebras.
Neutrosophic Set Approach For Characterizations Of Left Almost Semigroups
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Author : Madad Khan
language : en
Publisher: Infinite Study
Release Date :
Neutrosophic Set Approach For Characterizations Of Left Almost Semigroups written by Madad Khan and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.
In this paper we have defined neutrosophic ideals, neutrosophic interior ideals, netrosophic quasi-ideals and neutrosophic bi-ideals (neutrosophic generalized bi-ideals) and proved some results related to them.
Weighted And Fuzzy Graph Theory
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Author : Sunil Mathew
language : en
Publisher: Springer Nature
Release Date : 2023-08-20
Weighted And Fuzzy Graph Theory written by Sunil Mathew and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-08-20 with Technology & Engineering categories.
One of the most preeminent ways of applying mathematics in real-world scenario modeling involves graph theory. A graph can be undirected or directed depending on whether the pairwise relationships among objects are symmetric or not. Nevertheless, in many real-world situations, representing a set of complex relational objects as directed or undirected is not su¢ cient. Weighted graphs o§er a framework that helps to over come certain conceptual limitations. We show using the concept of an isomorphism that weighted graphs have a natural connection to fuzzy graphs. As we show in the book, this allows results to be carried back and forth between weighted graphs and fuzzy graphs. This idea is in keeping with the important paper by Klement and Mesiar that shows that many families of fuzzy sets are lattice isomorphic to each other. We also outline the important work of Head and Weinberger that show how results from ordinary mathematics can be carried over to fuzzy mathematics. We focus on the concepts connectivity, degree sequences and saturation, and intervals and gates in weighted graphs.
Fuzzy Mathematics
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Author : Etienne E. Kerre
language : en
Publisher: MDPI
Release Date : 2018-11-28
Fuzzy Mathematics written by Etienne E. Kerre and has been published by MDPI this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-11-28 with Mathematics categories.
This book is a printed edition of the Special Issue "Fuzzy Mathematics" that was published in Mathematics
Neutrosophic N Bi Ideals In Semigroups
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Author : K. PORSELVI
language : en
Publisher: Infinite Study
Release Date :
Neutrosophic N Bi Ideals In Semigroups written by K. PORSELVI and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with Mathematics categories.
In this paper, we introduce the notion of neutrosophic N -bi-ideal structure over a semigroup. We characterize semigroups, regular semigroups and intra-regular semigroups in terms of neutrosophic N -bi-ideal structures. We also show that the intersection of neutrosophic N -ideals and the neutrosophic N -product of ideals will coincide for a regular semigroup.
Neutrosophic Sets And Systems Vol 51 2022
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Author : Florentin Smarandache
language : en
Publisher: Infinite Study
Release Date : 2022-09-01
Neutrosophic Sets And Systems Vol 51 2022 written by Florentin Smarandache and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-09-01 with Mathematics categories.
“Neutrosophic Sets and Systems” has been created for publications on advanced studies in neutrosophy, neutrosophic set, neutrosophic logic, neutrosophic probability, neutrosophic statistics that started in 1995 and their applications in any field, such as the neutrosophic structures developed in algebra, geometry, topology, etc. Neutrosophy is a new branch of philosophy that studies the origin, nature, and scope of neutralities, as well as their interactions with different ideational spectra. This theory considers every notion or idea together with its opposite or negation
Interval Semigroups
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Author : W. B. Vasantha Kandasamy
language : en
Publisher: Infinite Study
Release Date : 2011
Interval Semigroups written by W. B. Vasantha Kandasamy and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with Mathematics categories.
In this book for the first time the concept of interval semigroups using intervals of the form [0, a] is defined.Several types of interval semigroups are introduced and their properties are analyzed. A special feature of this book is the wide-range of examples and problems.
Finite Neutrosophic Complex Numbers
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Author : W. B. Vasantha Kandasamy, Florentin Smarandache
language : en
Publisher: Infinite Study
Release Date : 2011
Finite Neutrosophic Complex Numbers written by W. B. Vasantha Kandasamy, Florentin Smarandache and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with Group theory categories.