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Amiri, Narjes, Nasseri, Hadi, Darvishi, Davood. (1404). Multi-Objective Optimization Problem Involving Max-Product Fuzzy Relation Inequalities with Application in Wireless Communication. فصلنامه علمی زیست فناوری گیاهان زراعی, (), -. doi: 10.30473/coam.2025.72543.1270
Narjes Amiri; Hadi Nasseri; Davood Darvishi. "Multi-Objective Optimization Problem Involving Max-Product Fuzzy Relation Inequalities with Application in Wireless Communication". فصلنامه علمی زیست فناوری گیاهان زراعی, , , 1404, -. doi: 10.30473/coam.2025.72543.1270
Amiri, Narjes, Nasseri, Hadi, Darvishi, Davood. (1404). 'Multi-Objective Optimization Problem Involving Max-Product Fuzzy Relation Inequalities with Application in Wireless Communication', فصلنامه علمی زیست فناوری گیاهان زراعی, (), pp. -. doi: 10.30473/coam.2025.72543.1270
Amiri, Narjes, Nasseri, Hadi, Darvishi, Davood. Multi-Objective Optimization Problem Involving Max-Product Fuzzy Relation Inequalities with Application in Wireless Communication. فصلنامه علمی زیست فناوری گیاهان زراعی, 1404; (): -. doi: 10.30473/coam.2025.72543.1270

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

Control and Optimization in Applied Mathematics
مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 24 فروردین 1404    اصل مقاله (419.29 K)
نوع مقاله: Research Article
شناسه دیجیتال (DOI): 10.30473/coam.2025.72543.1270
نویسندگان
Narjes Amiri* 1؛ Hadi Nasseri1؛ Davood Darvishi2
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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