Necessary optimality conditions for approximate Pareto efficient solutions of nonsmooth fractional interval-valued multiobjective optimization problems

Authors

  • Huy-Hung Nguyen Hanoi Pedagogical University 2, 32 Nguyen Van Linh, Phuc Yen, Vinh Phuc, Vietnam
  • Ngoc-Tuan Hoang Hanoi Pedagogical University 2, 32 Nguyen Van Linh, Phuc Yen, Vinh Phuc, Vietnam
  • Van-Tuyen Nguyen Hanoi Pedagogical University 2, 32 Nguyen Van Linh, Phuc Yen, Vinh Phuc, Vietnam

DOI:

https://doi.org/10.56764/hpu2.jos.2022.2.1.81-90

Abstract

This paper deals with approximate Pareto efficient solutions of a nonsmooth fractional interval-valued multiobjective optimization. We first introduce some types of approximate Pareto efficient solutions of the considered problem by considering the lower-upper interval order relation. Then we apply some advanced tools of variational analysis and generalized differentiation to establish necessary optimality conditions of Karush–Kuhn–Tucker (KKT)-type for these solutions.

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Published

28-12-2022

How to Cite

Nguyen, H.-H. ., Hoang, N.-T., & Nguyen, V.-T. (2022). Necessary optimality conditions for approximate Pareto efficient solutions of nonsmooth fractional interval-valued multiobjective optimization problems . HPU2 Journal of Science: Natural Sciences and Technology, 1(2), 81–90. https://doi.org/10.56764/hpu2.jos.2022.2.1.81-90

Volume and Issue

Vol. 1 No. 2 (2022): HPU2.Nat.Sci.Tech

Section

Natural Sciences and Technology

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