Polar fuzzy topologies on fuzzy topological vector spaces
B. Daraby, N. Khosravi, A. Rahimi
TL;DR
This paper introduces polar fuzzy sets and polar linear fuzzy topologies on fuzzy dual spaces, establishing a Mackey-Arens type theorem within fuzzy topological vector spaces.
Contribution
It extends the theory of fuzzy topological vector spaces by defining polar fuzzy sets and topologies, and proves a fundamental theorem analogous to Mackey-Arens.
Findings
Defined polar fuzzy sets on fuzzy dual spaces
Introduced polar linear fuzzy topologies
Proved Mackey-Arens type theorem for fuzzy spaces
Abstract
In this paper, we introduce the concept of polar fuzzy sets on fuzzy dual spaces. Using the notion of polar fuzzy sets, we define polar linear fuzzy topologies on fuzzy dual spaces and prove the Mackey-Arens type Theorem on fuzzy topological vector spaces
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Taxonomy
TopicsFuzzy and Soft Set Theory · Fixed Point Theorems Analysis · Fuzzy Logic and Control Systems