@article{Chen2024, 
author = {Miaoxia Chen and Abdul Samad Shibghatullah and Kasthuri Subramaniam and Xiaopeng Yang},
title = {Weighted minimax programming subject to the max-min fuzzy relation inequalities},
year = {2024},
journal = {AIMS Mathematics},
volume = {9},
number = {6},
pages = {13624-13641},
keywords = {fuzzy relation inequality, max-min composition, P2P network system, weighted minimax programming, mathematical model},
url = {https://www.sciopen.com/article/10.3934/math.2024665},
doi = {10.3934/math.2024665},
abstract = {Recently, max-min fuzzy relation inequalities (FRIs) have been used to model a (peer-to-peer) P2P network system. Any feasible scheme in the P2P network system is reflected by a solution of the max-min FRIs. One of the objectives of system managers is to decrease network congestion. To satisfy this objective, we attempt to minimize a weighted minimax function motivated by existing research. As a consequence, we establish a weighted minimax programming model in which the constraint is the max-min FRIs. Our goal in this work is to develop an effective algorithm to obtain the optimal solution of the optimization model. The so-called SCP-based algorithm is proposed to find the optimal solution. A numerical example shows the efficiency of our proposed SCP-based algorithm.}
}