A Smoothing Approach for Minimizing A Linear Function Subject to Fuzzy Relation Inequalities with Addition–Min Composition

• Published in: International journal of fuzzy systems Vol. 21; no. 1; pp. 281 - 290
• Main Authors: Guo, Fang-Fang, Shen, Jie
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.02.2019; Springer Nature B.V
• Subjects: Approximation; Artificial Intelligence; Cluster analysis; Composition; Computational Intelligence; Engineering; Fuzzy sets; Inequalities; Linear functions; Linear programming; Management Science; Maximum entropy method; Operations Research; Smoothing; Smoothing approximation; Addition–min composition; Optimization; Fuzzy relation inequality

This paper mainly focuses on minimizing a linear function subject to fuzzy relation inequalities with addition–min composition. Although the problem has been proved to be equivalent to a linear programming, it is still difficult to efficiently solve when the numbers of constrains and variables come...