Metric Spaces Of Fuzzy Sets
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Metric Spaces Of Fuzzy Sets
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Author : Phil Diamond
language : en
Publisher: World Scientific
Release Date : 1994
Metric Spaces Of Fuzzy Sets written by Phil Diamond and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with Mathematics categories.
The primary aim of the book is to provide a systematic development of the theory of metric spaces of normal, upper semicontinuous fuzzy convex fuzzy sets with compact support sets, mainly on the base space ?n. An additional aim is to sketch selected applications in which these metric space results and methods are essential for a thorough mathematical analysis.This book is distinctly mathematical in its orientation and style, in contrast with many of the other books now available on fuzzy sets, which, although all making use of mathematical formalism to some extent, are essentially motivated by and oriented towards more immediate applications and related practical issues. The reader is assumed to have some previous undergraduate level acquaintance with metric spaces and elementary functional analysis.
Fuzzy Soft Metric Space
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Author : M.Vasuky
language : en
Publisher: Shanlax Publications
Release Date :
Fuzzy Soft Metric Space written by M.Vasuky and has been published by Shanlax Publications this book supported file pdf, txt, epub, kindle and other format this book has been release on with Mathematics categories.
The various uncertainties arise in complicated problems in Economics, Engineering, Environmental Science, Medical Science and Social Science. The methods of classical Mathematics may not be successfully used to solve them. Mathematical theories such as probability theory, fuzzy set theory and rough set theory were established by researchers to model uncertainties appearing in the above fields. But all these theories have their own difficulties. To overcome these difficulties, In 1999 Molodstov[7] introduced the concept of soft set as a new mathematical tool for dealing with uncertainties. As the problem of setting the membership function does not arise in soft set theory, it can be easily applied to many different fields. In 2003, Maji.et.al.[5] studied some operations on the soft set theory. In 2009, M.I.Ali et.al.[1] studied some new operations on soft sets and its applications. In 2013, Sujoy Das et.al.[11] proposed soft metric space. In 2015, Thangaraj Beaula et.al.,[12] established the fuzzy soft metric spaces. In chapter 1, the basic definitions, examples, properties and theorems are given which are used for throughout the dissertation. In chapter 2, we defined Fuzzy soft metric space with suitable illustrations. We proved arbitrary union of fuzzy soft open set is fuzzy soft open set and the intersection of finite number of fuzzy soft open set is fuzzy soft open set. In chapter 3, Cauchy sequence are defined. First category, second category, dense, nowhere dense are all defined with suitable illustrations. We established Cantor intersection theorem on complete fuzzy soft metric space and also we proved Baires category theorem on fuzzy soft metric space. In chapter 4, fuzzy soft open cover, fuzzy soft compact set and fuzzy soft totally bounded set are defined. We proved some important theorems. Also we defined Bolzano Weirstress property and based on this we proved theorem namely fuzzy soft metric space becomes fuzzy soft sequentially compact if and only if fuzzy soft metric space has the property Bolzano Weirstrass. In chapter 5, we defined convex fuzzy soft metric space. Also we defined self mapping, fixed point and convergence of convex fuzzy soft metric space. Using these all we proved fixed point theorem on convex fuzzy soft metric space.
Fixed Point Theorems In Neutrosophic Metric Spaces
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Author : Necip ŞIMŞEK
language : en
Publisher: Infinite Study
Release Date :
Fixed Point Theorems In Neutrosophic Metric Spaces written by Necip ŞIMŞEK 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 neutrosophic cantractive and neutrosophic mapping. We establish some results on fixed points of a neutrosophic mapping.
Compactness And Continuity On Neutrosophic Soft Metric Space
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Author : Tuhin Bera
language : en
Publisher: Infinite Study
Release Date :
Compactness And Continuity On Neutrosophic Soft Metric Space written by Tuhin Bera 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, the notion of compact neutrosophic soft metric space is introduced. The concept of neutrosophic soft function and the composition of functions in a neutrosophic soft metric space along with suitable examples also have been brought. The continuity and uniform continuity of a neutrosophic soft function in this space have been defined and verified by proper examples. Several related properties, theorems and structural characteristics of these have been investigated here.
Fuzzy Topology
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Author : N. Palaniappan
language : en
Publisher: Alpha Science International, Limited
Release Date : 2005
Fuzzy Topology written by N. Palaniappan and has been published by Alpha Science International, Limited this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Computers categories.
"This book imparts latest developments in various properties of fuzzy topology viz., fuzzy set theory, fuzzy point and its neighbourhood structure, Fuzzy nets and Fuzzy convergence, Fuzzy metric, Different fuzzy compactness, Fuzzy connectedness, Fuzzy separation axioms and properties, Product spaces, Convex fuzzy sets and Fuzzy uniform spaces."--BOOK JACKET.
Weakcontractions In Neutrosophic Cone Metric Spaces Via Fixed Point Theorems
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Author : Wadei F. Al-Omeri
language : en
Publisher: Infinite Study
Release Date :
Weakcontractions In Neutrosophic Cone Metric Spaces Via Fixed Point Theorems written by Wadei F. Al-Omeri 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 manuscript, we obtain common fixed point theorems in the neutrosophic cone metric space. Also, notion of (Φ,Ψ)-weak contraction is defined in the neutrosophic cone metric space by using the idea of altering distance function. Finally, we review many examples of cone metric spaces to verify some properties.
Triangular Norms
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Author : Erich Peter Klement
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-04-17
Triangular Norms written by Erich Peter Klement 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 2013-04-17 with Philosophy categories.
This book discusses the theory of triangular norms and surveys several applied fields in which triangular norms play a significant part: probabilistic metric spaces, aggregation operators, many-valued logics, fuzzy logics, sets and control, and non-additive measures together with their corresponding integrals. It includes many graphical illustrations and gives a well-balanced picture of theory and applications. It is for mathematicians, computer scientists, applied computer scientists and engineers.
Recent Advances In Intuitionistic Fuzzy Logic Systems
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Author : Said Melliani
language : en
Publisher: Springer
Release Date : 2018-10-09
Recent Advances In Intuitionistic Fuzzy Logic Systems written by Said Melliani and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-10-09 with Technology & Engineering categories.
This book aims at providing an overview of state-of-the-art in both the theory and methods of intuitionistic fuzzy logic, partial differential equations and numerical methods in informatics. It covers topics such as fuzzy intuitionistic Hilbert spaces, intuitionistic fuzzy differential equations, fuzzy intuitionistic metric spaces, and numerical methods for differential equations. It reports on applications such as fuzzy real time scheduling, intelligent control, diagnostics and time series prediction. Chapters were carefully selected among contributions presented at the second edition of the International Conference on Intuitionistic Fuzzy Sets and Mathematical Science, ICIFSMAS, held on April 11-13, 2018, at Al Akhawayn University of Ifrane, in Morocco.
Clustering Neutrosophic Data Sets And Neutrosophic Valued Metric Spaces
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Author : Ferhat Tas
language : en
Publisher: Infinite Study
Release Date :
Clustering Neutrosophic Data Sets And Neutrosophic Valued Metric Spaces written by Ferhat Tas 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 define the neutrosophic valued (and generalized or G) metric spaces for the first time. Besides, we newly determine a mathematical model for clustering the neutrosophic big data sets using G-metric. Furthermore, relative weighted neutrosophic-valued distance and weighted cohesion measure, is defined for neutrosophic big data set. We offer a very practical method for data analysis of neutrosophic big data although neutrosophic data type (neutrosophic big data) are in massive and detailed form when compared with other data types.
Fuzzy Mathematics
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Author : John N. Mordeson
language : en
Publisher: Physica
Release Date : 2012-11-08
Fuzzy Mathematics written by John N. Mordeson and has been published by Physica this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-11-08 with Mathematics categories.
In the mid-1960's I had the pleasure of attending a talk by Lotfi Zadeh at which he presented some of his basic (and at the time, recent) work on fuzzy sets. Lotfi's algebra of fuzzy subsets of a set struck me as very nice; in fact, as a graduate student in the mid-1950's, I had suggested similar ideas about continuous-truth-valued propositional calculus (inffor "and", sup for "or") to my advisor, but he didn't go for it (and in fact, confused it with the foundations of probability theory), so I ended up writing a thesis in a more conventional area of mathematics (differential algebra). I especially enjoyed Lotfi's discussion of fuzzy convexity; I remember talking to him about possible ways of extending this work, but I didn't pursue this at the time. I have elsewhere told the story of how, when I saw C. L. Chang's 1968 paper on fuzzy topological spaces, I was impelled to try my hand at fuzzi fying algebra. This led to my 1971 paper "Fuzzy groups", which became the starting point of an entire literature on fuzzy algebraic structures. In 1974 King-Sun Fu invited me to speak at a U. S. -Japan seminar on Fuzzy Sets and their Applications, which was to be held that summer in Berkeley.