On optimality and duality for multiobjective interval-valued programming problems with vanishing constraints
سال انتشار: 1402
نوع سند: مقاله ژورنالی
زبان: انگلیسی
مشاهده: 79
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شناسه ملی سند علمی:
JR_IJNAO-13-26_001
تاریخ نمایه سازی: 12 تیر 1402
چکیده مقاله:
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.
کلیدواژه ها:
Multiobjective interval-valued optimization problem ، vanishing constraints ، (weakly) LU-efficient solution ، Duality
نویسندگان
BANDA RANI
Department of Mathematics, School of Science, GITAM-Hyderabad Campus, Hyderabad-۵۰۲۳۲۹, India.
Izhar Ahmad
Department of Mathematics, King Fahd University of Petroleum and Minerals, Dhahran-۳۱۲۶۱, Saudi Arabia.
Krishna Kummari
Department of Mathematics, School of Science, GITAM-Hyderabad Campus, Hyderabad-۵۰۲۳۲۹, India.