Third-Order Fuzzy Differential Subordination and Superordination via Generalized Mittag-Leffler Operator with Applications in Decision Making

Read full text
Authors: Borhen Halouani, Bushra Kanwal, Saba Shabir, Maslina Darus, Tariq Alsmadi, Ibrahim S. Elshazly
Cited by: 1
References: 43

Abstract

This article focuses on the notions of third-order fuzzy differential subordination and superordination associated with the generalized Mittag-Leffler operator. Methods emphasizing the key concept of admissible functions are implemented to investigate several third-order fuzzy differential subordination and superordination results. Sandwich-type outcomes are established based on the adopted methodology, linking the dual fuzzy theoretical frameworks. In addition, the applications of fuzzy differential subordination are discussed in the context of decision making problems. The proposed approach provides the mathematical mechanism that ensures the stability and preservation of the decision under changes in criteria and preference evaluations, highlighting the importance of the developed theory.

Fields of Study & Subjects

Analytic and geometric function theory Fuzzy Systems and Optimization Multi-Criteria Decision Making

Publication details

Journal / source
Mathematics
Publisher
MDPI AG
Volume
14
Issue
8
Pages
1310–1310
Publication date
14 April 2026
Language
EN