ON FUZZY TOPOLOGICAL GROUPS AND FUZZY CONTINUOUS FUNCTIONS

Authors : M. Ganster, D. N. Georgiou, S. Jafari

Pages : 35-43

View : 30 | Download : 5

Publication Date : 2005-01-01

Article Type : Research Paper

Abstract :Function spaces play an important role in complex analysis, in the theory of differential equations, in functional analysis and in almost every other branch of modern mathematics. Let FCinsert ignore into journalissuearticles values(Y,Z); be the set of all fuzzy continuous functions from a fuzzy topological space Y into a fuzzy topological space Z. Our aim in this paper is to study the notion of group, fuzzy group, topological group, and fuzzy topological group on the insert ignore into journalissuearticles values(fuzzy); function space FCinsert ignore into journalissuearticles values(Y,Z);.
Keywords : Group, Fuzzy group, Topological group, Fuzzy topological group, Function space