2019/10/07 by Bayaz Daraby, Daraby, B., N. Khosravi +3
Computer Science · Decision Sciences · Mathematics · #FOS: Mathematics #Fixed Point Theorems Analysis #Fuzzy Logic and Control Systems #Fuzzy and Soft Set Theory #General Mathematics (math.GM)
paper · pdf · doi:10.48550/arxiv.1910.03405
openalex publication_date 2019/10/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper, we introduce the concept of weak fuzzy linear topology on a fuzzy topological vector space as a generalization of usual weak topology. We prove that this topology consists of all weakly lower semi-continuous fuzzy sets on a given vector space when K (R or C) considered with its usual fuzzy topology. In the case that the topology of K is different from the usual fuzzy topology, we show that the weak fuzzy topology is not equivalent with the topology of weakly lower semi-continuous fuzzy sets.