Payame Noor University (PNU) Control and Optimization in Applied Mathematics 2383-3130 10 1 2025 06 01 Multi-Objective Optimization Problem Involving Max-Product Fuzzy Relation Inequalities with Application in Wireless Communication 91 107 11786 10.30473/coam.2025.72543.1270 EN Narjes Amiri Department of Applied Mathematics‎, ‎University of Mazandaran‎, ‎Babolsar‎, ‎Iran. Hadi Nasseri Department of Applied Mathematics‎, ‎University of Mazandaran‎, ‎Babolsar‎, ‎Iran. Davood Darvishi Salokolaei Department of Mathematics‎, Payame Noor University (PNU)‎, P.O‎. ‎Box 19395-4697‎, ‎Tehran‎, ‎Iran‎. Journal Article 2024 11 09 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. https://mathco.journals.pnu.ac.ir/article_11786_75179c10c9b1aca634d38e6fafc914f1.pdf