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On optimality and duality for multiobjective interval-valued programming problems with vanishing constraints | ||
Iranian Journal of Numerical Analysis and Optimization | ||
مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 04 اسفند 1401 | ||
نوع مقاله: Research Article | ||
شناسه دیجیتال (DOI): 10.22067/ijnao.2023.76095.1127 | ||
نویسندگان | ||
BANDA JAPAMALA RANI ![]() ![]() ![]() | ||
1Department of Mathematics, School of Science, GITAM-Hyderabad Campus, Hyderabad-502329, India. | ||
2Department of Mathematics, King Fahd University of Petroleum and Minerals, Dhahran-31261, Saudi Arabia. | ||
چکیده | ||
In this study, we explore the theoretical features of a multiobjective interval-valued programming problem with vanishing constraints. In view of this, we have defined a multiobjective interval-valued programming problem with vanishing constraints (MIVVC) in which the objective functions are considered to be interval-valued functions and we define an LU-efficient solution by employing partial ordering relations. Under the assumption of generalized convexity, we investigate the optimality conditions for a (weakly) LU-efficient solution to a multiobjective interval-valued programming problem with vanishing constraints. Further, we establish Wolfe and Mond-Weir duality results under appropriate convexity hypotheses. The study concludes with examples designed to validate our findings. | ||
کلیدواژهها | ||
Multiobjective interval-valued optimization problem؛ vanishing constraints؛ (weakly) LU-efficient solution؛ duality | ||
آمار تعداد مشاهده مقاله: 54 |