Multi-Objective Optimization Problem Involving Max-Product Fuzzy Relation Inequalities with Application in Wireless Communication

Amiri, Narjes; Nasseri, Hadi; Darvishi Salokolaei, Davood

doi:10.30473/coam.2025.72543.1270

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	Multi-Objective Optimization Problem Involving Max-Product Fuzzy Relation Inequalities with Application in Wireless Communication
Control and Optimization in Applied Mathematics
مقاله 6، دوره 10، شماره 1 - شماره پیاپی 19، شهریور 2025، صفحه 91-107 اصل مقاله (541.81 K)
نوع مقاله: Research Article
شناسه دیجیتال (DOI): 10.30473/coam.2025.72543.1270
نویسندگان
Narjes Amiri^* ¹؛ Hadi Nasseri¹؛ Davood Darvishi Salokolaei²
¹Department of Applied Mathematics‎, ‎University of Mazandaran‎, ‎Babolsar‎, ‎Iran.
²Department of Mathematics‎, Payame Noor University (PNU)‎, P.O‎. ‎Box 19395-4697‎, ‎Tehran‎, ‎Iran‎.
چکیده
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.
تازه های تحقیق
This study addresses a distinct category of optimization management models specifically tailored for wireless communication systems. A novel fuzzy relation multi-objective programming approach is proposed to enhance the efficiency of managing complex communication systems. The concept of a feasible index set is established, serving as a foundational element for the problem formulation. A new algorithm termed the Feasible Index Set Algorithm, is developed to efficiently identify the best lexicographic solution within the optimization framework. The proposed algorithm operates with polynomial computational complexity, ensuring practicality and efficiency in real-world applications.
کلیدواژه‌ها
Fuzzy relation inequality‎؛ ‎Linear programming‎؛ ‎Max-Product‎؛ ‎Wireless communication

مراجع
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Multi-Objective Optimization Problem Involving Max-Product Fuzzy Relation Inequalities with Application in Wireless Communication