Work

A Modified Interactive Stability Algorithm for Solving Multi-Objective NLP Problems with Fuzzy Parameters in Its Objective Functions

Year: 2016

Type: article

Abstract: This paper presents a modified method to solve multi-objective nonlinear programming problems with fuzzy parameters in its objective functions and these fuzzy parameters are characterized by fuzzy numbers. The modified method is based on normalized trade-off weights. The obtained stability set corresponding to α-Pareto optimal solution, using our method, is investigated. Moreover, an algorithm for obtaining any subset of the parametric space which has the same corresponding α-Pareto optimal solution is presented. Finally, a numerical example to illustrate our method is also given.

Source: American Journal of Operations Research

DOI: 10.4236/ajor.2016.61002

Authors: Mohamed Abd El-Hady Kassem, Ahmad M. K. Tarabia, Noha Mohamed El-Badry

Institutions: Tanta University, Damietta University

Language: English

Topic: Optimization and Mathematical Programming

Subfield: Management Science and Operations Research

Field: Decision Sciences

Domain: Social Sciences

Open Access status: diamond

OpenAlex ID: W2236724561

FWCI: 0.28

Cites: 11

Cited by: 1

Related to: 10