TL;DR
This paper introduces a novel fuzzy boundary concept, explores its set theoretic properties, and compares it with existing fuzzy boundary definitions to enhance understanding of fuzzy set boundaries.
Contribution
The paper presents a new type of fuzzy boundary and analyzes its properties, providing a comparative study with existing fuzzy boundary concepts.
Findings
New fuzzy boundary type defined and characterized.
Set theoretic identities established for the new boundary.
Comparative analysis with existing fuzzy boundaries conducted.
Abstract
In this paper, we introduce a new type fuzzy boundary and study some related set theoretic identities. Further, this new type of fuzzy boundary is compared with different existing fuzzy boundaries.
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Taxonomy
TopicsMulti-Criteria Decision Making · Fuzzy Logic and Control Systems · Fuzzy and Soft Set Theory