Diaz-Metcalf Type Inequality for Sugeno and Pseudo Integrals
Mohammad Reza Karimzadeha, Bayaz Darabyb, Asghar Rahimic
TL;DR
This paper establishes a Diaz-Metcalf inequality specifically for fuzzy integrals, expanding the mathematical tools available for fuzzy analysis and decision-making.
Contribution
The paper introduces a new Diaz-Metcalf inequality applicable to Sugeno and Pseudo integrals, which are important in fuzzy logic.
Findings
Proved Diaz-Metcalf inequality for Sugeno integrals
Extended inequality to Pseudo integrals
Provides theoretical foundation for fuzzy integral inequalities
Abstract
In this paper, we have proved Diaz-Metcolf inequality for fuzzy integrals.
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Taxonomy
TopicsFixed Point Theorems Analysis · Mathematical Inequalities and Applications · Optimization and Variational Analysis