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arXiv · 1910.03405

Weak fuzzy topology on fuzzy topological vector spaces

B. Daraby·N. Khosravi·A. Rahimi
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Abstract

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.

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B. Daraby, N. Khosravi, A. Rahimi. 2019-10-07. Weak fuzzy topology on fuzzy topological vector spaces. https://arxiv.org/abs/1910.03405

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