Fuzzy relation weighted minimax programming with addition-min composition

• Published in: Computers & industrial engineering Vol. 147; p. 106644
• Main Authors: Yang, Xiaobin, Qiu, Jianjun, Guo, Huimei, Yang, Xiaopeng
• Format: Journal Article
• Language: English
• Published: Elsevier Ltd 01.09.2020
• Subjects: Addition-min composition; Fuzzy relation equation; Fuzzy relation inequality; P2P file sharing system; Weighted minimax optimization; Fuzzy relation equation; P2P file sharing system; Weighted minimax optimization; Fuzzy relation inequality; Addition-min composition
• ISSN: 0360-8352; 1879-0550
• DOI: 10.1016/j.cie.2020.106644

•Distinguishing importance degrees are considered in the P2P file sharing system.•Fuzzy relation weighted minimax programming is established and investigated.•Our proposed algorithms were illustrated by numerical examples. In the existing works, system of addition-min fuzzy relation inequalities (FRIs) was introduced to model a peer-to-peer (P2P) file sharing system. For decreasing the network congestion, a minimax programming has been studied. However, in such programming, the different weights of the terminals (or peers) were not considered. In order to distinguish the different importance degrees of the terminals, we propose and investigate the weighted minimax programming problem in this work. A novel algorithm based on some discrete function-values is developed to obtain its optimal solution. Effectiveness of our proposed algorithms are further illustrated by some numerical examples.