Soft MTL-algebras based on fuzzy sets
J. Zhan, W. A. Dudek
TL;DR
This paper explores the structure of soft MTL-algebras based on fuzzy sets, providing characterizations of various filteristic soft MTL-algebras and establishing equivalences among them.
Contribution
It introduces characterizations of Boolean, G-, and MV-filteristic soft MTL-algebras using $ ext{in}$-soft and q-soft sets, and proves their equivalence under certain conditions.
Findings
Characterization of Boolean filteristic soft MTL-algebras
Characterization of G-filteristic soft MTL-algebras
Characterization of MV-filteristic soft MTL-algebras
Abstract
In this paper, we deal with soft MTL-algebras based on fuzzy sets. By means of -soft sets and q-soft sets, some characterizations of (Boolean, G- and MV-) filteristic soft MTL-algebras are investigated. Finally, we prove that a soft set is a Boolean filteristic soft MTL-algebra if and only if it is both a G-filteristic soft MTL-algebra and an MV-filteristic soft MTL-algebra.
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Taxonomy
TopicsFuzzy and Soft Set Theory · Advanced Algebra and Logic · Multi-Criteria Decision Making