Work

A monotonic optimization approach for solving strictly quasiconvex multiobjective programming problems

Year: 2020

Type: article

Abstract: In this article, we use a monotonic optimization approach to propose an outcome-space outer approximation by copolyblocks for solving strictly quasiconvex multiobjective programming problems which include many classes of captivating problems, for example when the criterion functions are nonlinear fractional. After the algorithm is terminated, with any given tolerance, an approximation of the weakly efficient solution set is obtained containing the whole weakly efficient solution set of the problem. The algorithm is proved to be convergent and it is suitable to be implemented in parallel using convex programming tools. Some computational experiments are reported to show the accuracy and efficiency of the algorithm.

Source: Journal of Intelligent & Fuzzy Systems

DOI: 10.3233/jifs-179690

Authors: Tran Ngoc Thang, Vijender Kumar Solanki, Tuan Anh Dao, Nguyen Thi Ngoc Anh, Pham Van Hai

Institutions: Trường Đại học Khoa học và Công nghệ Hà Nội, Hanoi University of Science and Technology, Uppsala University

Language: English

Topic: Advanced Optimization Algorithms Research

Subfield: Numerical Analysis

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W3012034569

FWCI: 1.672

Cites: 24

Cited by: 11

Related to: 10