Affiliation:
1. Department of Mathematics, University of Maragheh, Maragheh, Iran
Abstract
In this paper, we study the concept of weak linear fuzzy topology on a fuzzy
topological vector space as a generalization of usual weak topology. We
prove that this fuzzy topology consists of all weakly lower semi-continuous
fuzzy sets on a given vector space when K (R or C) endowed with its usual
fuzzy topology. In the case that the fuzzy topology of K is different from
the usual fuzzy topology, we show that the weak fuzzy topology is not
equivalent with the fuzzy topology of weakly lower semi-continuous fuzzy
sets.
Publisher
National Library of Serbia