Download or read book Fuzzy Linguistic Topological Spaces written by W. B. Vasantha Kandasamy and published by Zip Publishing. This book was released on 2014-05-14 with total page 195 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Fuzzy Linguistic Topological Spaces written by W. B. Vasantha Kandasamy and published by Infinite Study. This book was released on 2012-01-01 with total page 195 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Special Subset Linguistic Topological Spaces written by W. B. Vasantha Kandasamy and published by Infinite Study. This book was released on with total page 259 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book, authors, for the first time, introduce the new notion of special subset linguistic topological spaces using linguistic square matrices. This book is organized into three chapters. Chapter One supplies the reader with the concept of ling set, ling variable, ling continuum, etc. Specific basic linguistic algebraic structures, like linguistic semigroup linguistic monoid, are introduced. Also, algebraic structures to linguistic square matrices are defined and described with examples. For the first time, non-commutative linguistic topological spaces are introduced. The notion of a linguistic special subset of doubly non-commutative topological spaces of linguistic topological spaces is introduced in this book.
Download or read book Linguistic Semilinear Algebras and Linguistic Semivector Spaces written by W. B. Vasantha Kandasamy and published by Infinite Study. This book was released on 2022-12-15 with total page 198 pages. Available in PDF, EPUB and Kindle. Book excerpt: Algebraic structures on linguistic sets associated with a linguistic variable are introduced. The linguistics with single closed binary operations are only semigroups and monoids. We describe the new notion of linguistic semirings, linguistic semifields, linguistic semivector spaces and linguistic semilinear algebras defined over linguistic semifields. We also define algebraic structures on linguistic subsets of a linguistic set associated with a linguistic variable. We define the notion of linguistic subset semigroups, linguistic subset monoids and their respective substructures. We also define as in case of deals in classical semigroups, linguistic ideals in linguistic semigroups and linguistic monoids. This concept of linguistic ideals is extended to the case of linguistic subset semigroups and linguistic subset monoids. We also define linguistic substructures.
Download or read book Nature of Computation and Communication written by Phan Cong Vinh and published by Springer Nature. This book was released on with total page 194 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Introduction to Topological Linguistics written by Ángel López García and published by Instituciones Educativos. This book was released on 1990 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Linguistic Functions written by W. B. Vasantha Kandasam and published by Infinite Study. This book was released on 2022-06-01 with total page 185 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book, for the first time, authors try to introduce the concept of linguistic variables as a continuum of linguistic terms/elements/words in par or similar to a real continuum. For instance, we have the linguistic variable, say the heights of people, then we place the heights in the linguistic continuum [shortest, tallest] unlike the real continuum (–∞, ∞) where both –∞ or +∞ is only a non-included symbols of the real continuum, but in case of the linguistic continuum we generally include the ends or to be more mathematical say it is a closed interval, where shortest denotes the shortest height of a person, maybe the born infant who is very short from usual and the tallest will denote the tallest one usually very tall; however this linguistic continuum [shortest, tallest] in the real continuum will be the closed interval say [1 foot, 8 feet] or [1, 8] the measurement in terms of feet. So, the real interval is a subinterval with which we have associated the real continuum in terms of qualifying unit feet and inches in this case.
Download or read book Linguistic Matrices written by W. B. Vasantha Kandasamy and published by Infinite Study. This book was released on 2022-10-01 with total page 191 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book, the authors introduce the linguistic set associated with a linguistic variable and the structure of matrices, which they define as linguistic matrices. The authors build linguistic matrices only for those linguistic variables which yield a linguistic continuum or an ordered linguistic set. This book is organised into three chapters. The first chapter is introductory, in which we introduce all the basic concepts of linguistic variables and the associated linguistic set to make this book self-contained. Chapter two introduces linguistic matrices and develops basic properties associated with them, like types of matrices, transpose of matrices and diagonal matrices. Most of the properties enjoyed by real or complex matrices are satisfied by these linguistic matrices. Chapter three deals with operations on the linguistic matrices.
Download or read book m polar Neutrosophic Topology and its Application to Medical Diagnosis written by Muhammad Riaz and published by Infinite Study. This book was released on with total page 22 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the present study we aim to introduce novel concepts of m-polar neutrosophic set (MPNS) and m-polar neutrosophic topology. For this aim, we first investigate several characterizations of the notion of m-polar neutrosophic set and discuss its fundamental properties. We establish some operations on m-polar neutrosophic set. We propose score functions for the comparison of m-polar neutrosophic numbers (MPNNs). Then we introduce m-polar neutrosophic topology and define interior, closure, exterior and frontier for m-polar neutrosophic sets (MPNSs) with illustrative examples. We discuss some results which holds for classical set theory but do not hold for m-polar neutrosophic set theory. We introduce cosine similarity measure and set theoretic similarity measures for MPNSs. Furthermore, we present two algorithms for multi-criteria decision-making (MCDM) in medical diagnosis by using m-polar neutrosophic set (MPNS) and m-polar neutrosophic topology.
Download or read book Linguistic Graphs and their Applications written by W. B. Vasantha Kandasamy and published by Infinite Study. This book was released on 2022-08-01 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book, the authors systematically define the new notion of linguistic graphs associated with a linguistic set of a linguistic variable. We can also define the notion of directed linguistic graphs and linguistic-weighted graphs. Chapter two discusses all types of linguistic graphs, linguistic dyads, linguistic triads, linguistic wheels, complete linguistic graphs, linguistic connected graphs, disconnected linguistic graphs, linguistic components of the graphs and so on. Further, we define the notion of linguistic subgraphs of a linguistic graph. However, like usual graphs, we will not be able to arbitrarily connect any two linguistic words of a linguistic set associated with a linguistic variable. They can be related or adjacent depending on the linguistic variable associated with the linguistic set. This is an exceptional feature of a linguistic graph.
Download or read book m Polar Neutrosophic Topology with Applications to Multicriteria Decision Making in Medical Diagnosis and Clustering Analysis written by Masooma Raza Hashmi and published by Infinite Study. This book was released on with total page 20 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper, we first introduce novel concepts of m-polar neutrosophic set (MPNS) and topological structure on m-polar neutrosophic set by combining the mpolar fuzzy set (MPFS) and neutrosophic set.
Download or read book Linguistic Geometry and its Applications written by W. B. Vasantha Kandasamy and published by Infinite Study. This book was released on 2022-12-15 with total page 233 pages. Available in PDF, EPUB and Kindle. Book excerpt: The notion of linguistic geometry is defined in this book. It is pertinent to keep in the record that linguistic geometry differs from classical geometry. Many basic or fundamental concepts and notions of classical geometry are not true or extendable in the case of linguistic geometry. Hence, for simple illustration, facts like two distinct points in classical geometry always define a line passing through them; this is generally not true in linguistic geometry. Suppose we have two linguistic points as tall and light we cannot connect them, or technically, there is no line between them. However, let's take, for instance, two linguistic points, tall and very short, associated with the linguistic variable height of a person. We have a directed line joining from the linguistic point very short to the linguistic point tall. In this case, it is important to note that the direction is essential when the linguistic variable is a person's height. The other way line, from tall to very short, has no meaning. So in linguistic geometry, in general, we may not have a linguistic line; granted, we have a line, but we may not have it in both directions; the line may be directed. The linguistic distance is very far. So, the linguistic line directed or otherwise exists if and only if they are comparable. Hence the very concept of extending the line infinitely does not exist. Likewise, we cannot say as in classical geometry; three noncollinear points determine the plane in linguistic geometry. Further, we do not have the notion of the linguistic area of well-defined figures like a triangle, quadrilateral or any polygon as in the case of classical geometry. The best part of linguistic geometry is that we can define the new notion of linguistic social information geometric networks analogous to social information networks. This will be a boon to non-mathematics researchers in socio-sciences in other fields where natural languages can replace mathematics.
Download or read book Invertible Fuzzy Topological Spaces written by Anjaly Jose and published by Springer Nature. This book was released on 2022-09-01 with total page 102 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book discusses the invertibility of fuzzy topological spaces and related topics. Certain types of fuzzy topological spaces are introduced, and interrelations between them are brought forth. Various properties of invertible fuzzy topological spaces are presented, and characterizations for completely invertible fuzzy topological spaces are discussed. The relationship between homogeneity and invertibility is examined, and, subsequently, the orbits in an invertible fuzzy topological space are studied. The structure of invertible fuzzy topological spaces is investigated, and a clear picture of the inverting pairs in an invertible fuzzy topological space is introduced. Further, the related spaces such as sums, subspaces, simple extensions, quotient spaces, and product spaces of invertible fuzzy topological spaces are examined. In addition, the effect of invertibility on fuzzy topological properties like separation axioms, axioms of countability, compactness, and fuzzy connectedness in invertible fuzzy topological spaces is established. The book sketches ideas extended to the bigger canvas of L-topology in a very interesting manner.
Download or read book Neutrosophic Sets and Systems vol 51 2022 written by Florentin Smarandache and published by Infinite Study. This book was released on 2022-09-01 with total page 970 pages. Available in PDF, EPUB and Kindle. Book excerpt: “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
Download or read book Innovative Uses of Matrices written by W. B. Vasantha Kandasamy, Florentin Smarandache, Indra Venkatbabu and published by Infinite Study. This book was released on 2012 with total page 229 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Neutrosophic Sets and Systems Vol 46 2021 written by Florentin Smarandache and published by Infinite Study. This book was released on 2021-10-19 with total page 487 pages. Available in PDF, EPUB and Kindle. Book excerpt: Papers on neutrosophic programming, neutrosophic hypersoft set, neutrosophic topological spaces, NeutroAlgebra, NeutroGeometry, AntiGeometry, NeutroNearRings, neutrosophic differential equations, etc.
Download or read book On the Existence of Natural Non topological Fuzzy Topological Spaces written by Robert Lowen and published by . This book was released on 1985 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt:
