A fuzzy set ain xis characterized by its membership function a. In this book the authors introduce a new type of fuzzy topological space called fuzzy linguistic topological space. Pdf a study on fuzzy topological spaces in sostaks. Part of the studies in fuzziness and soft computing book series studfuzz. Pdf a study on fuzzy topological spaces in sostaks sence. Imparts developments in various properties of fuzzy topology viz. A base for an l fuzzy topology f on a set x is a collection 93 c y such that, for each u e r there exists gu c g. A categorical accommodation of various notions of fuzzy topology, fuzzy sets and systems 1983 241265, complete fuzzy topological hyperfields and fuzzy multiplication in the fuzzy real lines, ibid. Our notation and terminology for fuzzy sets follow that of zadeh i. Extending topological properties to fuzzy topological spaces. The purpose of this book is to sujjest new definitions of separation axioms in fuzzy bitopological spaces. To study several types of fuzzy sets, continuous mappings and separation axioms book december 2012 with 435 reads how we measure reads. It is the purpose of this paper to go somewhat deeper into the structure of fuzzy topological spaces.
Fuzzy topological spaces and fuzzy compactness core. He then studies the connection between fuzzy topological spaces and topological spaces and introduces fuzzy continuity and product induced spaces. We study several features of these definitions along with the existing ones. Pdf fuzzy preorder and fuzzy topology researchgate. Informally, a fuzzy set a in x is a class with fuzzy boundaries, e. The purpose of this book is to introduce and study some new definitions of fuzzy sets, continuous mappings and separation axioms on fuzzy. Fuzzy topological spaces and fuzzy compactness sciencedirect. K wongfuzzy point and local properties of fuzzy topology. The relationship between fuzzy preorders and fuzzy topological spaces has also been investigated from points of view of rough sets and the theory of modi. Pdf study on fuzzy topological space ijisrt digital.
System upgrade on feb 12th during this period, ecommerce and registration of new users may not be available for up to 12 hours. Compactness in fuzzy topological spaces 549 and u v v and a9 are similarly defined. Our notation and terminology for fuzzy sets follow that of zadeh 1. This book is the first monograph to systematically reflect the uptodate state of fuzzy. The introduce concepts are less restrictive than those of kandil and elshafee66,67 as will be found later on. A base for an lfuzzy topology f on a set x is a collection 93 c y such that, for each u e r there exists gu c g. A study on fuzzy topological spaces in sostaks sence. Extending topological properties to fuzzy topological spaces by ruba mohammad abdulfattah adarbeh supervised by dr.
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