A Novel Smoothing Approach for Linear Objective Optimizations Subject to Fuzzy Relation Inequalities With Addition-Min Composition

• Published in: IEEE transactions on fuzzy systems Vol. 29; no. 8; pp. 2444 - 2450
• Main Authors: Guo, Fang-Fang, Shen, Jie
• Format: Journal Article
• Language: English
• Published: New York IEEE 01.08.2021; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Addition-min composition; Approximation algorithms; Composition; Convergence; Entropy; Feasibility; fuzzy relation inequality; Indexes; Inequalities; Linear programming; Optimization; Smoothing; smoothing method; Smoothing methods

This article mainly investigates a smoothing approach for solving linear objective optimizations subject to fuzzy relational inequalities with addition-min composition. Since their constraints are concave, it is almost impossible to convert such a problem into a linear programming, which has a conve...