Bilevel Optimization Problem With Random-Term-Absent Max-Product Fuzzy Relation Inequalities Constraint

• Published in: IEEE transactions on fuzzy systems Vol. 29; no. 11; pp. 3374 - 3388
• Main Authors: Qiu, Jianjun, Li, Guanrong, Yang, Xiaopeng
• Format: Journal Article
• Language: English
• Published: New York IEEE 01.11.2021; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Algorithms; Base stations; Bilevel optimization problem; Communications systems; fuzzy relation inequality; Inequalities; Mathematical model; max-product composition; Minimax techniques; Optimization; optimization algorithm; random-term-absent (RTA); solution matrix; Wireless communication; Wireless communications
• ISSN: 1063-6706; 1941-0034
• DOI: 10.1109/TFUZZ.2020.3021726

The max-product fuzzy relation inequalities have been applied to describe the quantitative relation in a wireless communication base-station system in the existing work. However, the potential line fault between a base station and a signal testing point has not been considered. In this article, we define the so-called random-term-absent max-product fuzzy relation inequalities for describing the wireless communication base-station system with a random line fault. Based on the practical application consideration, we further construct a bilevel optimization problem subject to random-term-absent max-product fuzzy relation inequalities. For solving such bilevel optimization problem, properties of the random-term-absent system, as well as the common single-level fuzzy relation programming, are investigated. At last, a detailed algorithm is developed to find the optimal solution of our proposed bilevel optimization problem.