Multi-Objective Optimization Problem Involving Max-Product Fuzzy Relation Inequalities with Application in Wireless Communication
نویسندگان
1 Department of Applied Mathematics, University of Mazandaran, Babolsar, Iran.
2 Department of Applied Mathematics, University of Mazandaran, Babolsar, Iran.
3 Department of Mathematics, Payame Noor University (PNU), P.O. Box 19395-4697, Tehran, Iran.
doi
10.30473/coam.2025.72543.1270چکیده
This paper explores a specific category of optimization management models tailored for wireless communication systems. To enhance the efficiency of managing these systems, we introduce a fuzzy relation multi-objective programming approach. We define the concept of a feasible index set and present a novel algorithm, termed the feasible index set algorithm, which is designed to determine the optimal lexicographic solution to the problem, demonstrating polynomial computational complexity. Previous studies have indicated that the emission base stations within wireless communication systems can be effectively modeled using a series of fuzzy relation inequalities through max-product composition. This topic is also addressed in our paper. Wireless communication is widely employed across various sectors, encompassing mobile communication and data transmission. In this framework, information is transmitted via electromagnetic waves generated by fixed emission base stations.
