International Research journal of Management Science and Technology

  ISSN 2250 - 1959 (online) ISSN 2348 - 9367 (Print) New DOI : 10.32804/IRJMST

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A STUDY ON FUNCTION SPACES IN FUZZY TOPOLOGY

    1 Author(s):  EKTA TRIPATHI

Vol -  7, Issue- 8 ,         Page(s) : 25 - 28  (2016 ) DOI : https://doi.org/10.32804/IRJMST

Abstract

The study of topologies on function spaces and their properties is an important area of research. Hence the infroduction of fuzzy topologies on a given function space is the most important for further development of fuzzy mathematics various generalization of the concept of fuzzy sets have been done by many authors. Atanassov introduced the idea of intuitionistic fuzzy sets. Recently much work have been don with this concepts. [K. Allanassov, Intuitionstic fuzzy sets. Fuzzy sets and system 20(1) 1986 p. 87-96]. Cocker introduced the idea of topology of intuifionsitic fuzzy sets. Idea of topology of intuifinistic fuzzy sets. [D. Loker, An Introduction of intuitionistic fuzzy topological spaces. Fuzzy sets and Systems 88 (1997)p.81]Chattopadhyay etal. gave a definition of fuzzy topology by introducing a concept of gradation of openness of fuzzy subsets.

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