A criterion of compactness in the space of fuzzy numbers and applications
Tran Minh Thuyet, Do Huy Hoang, Pham Thanh Son, Ho Quang Duc
TL;DR
This paper introduces a simple compactness criterion for fuzzy numbers in finite-dimensional spaces and applies it to solve fuzzy integral equations under optimal conditions.
Contribution
It presents a new criterion for compactness in the space of fuzzy numbers and demonstrates its application to fuzzy integral equations.
Findings
Established a new compactness criterion for fuzzy numbers.
Applied the criterion to solve fuzzy integral equations effectively.
Provided conditions for optimal solvability of fuzzy integral equations.
Abstract
We propose a simple criterion of compactness in the space of fuzzy number on the space of finite dimension and apply to deal with a class of fuzzy intergral equations in the best condition.
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Taxonomy
TopicsFixed Point Theorems Analysis · Advanced Banach Space Theory · Approximation Theory and Sequence Spaces