A New Method to Solve Fuzzy Interval Flexible Linear Programming Using a Multi-Objective Approach. Issue 2 (3rd April 2019)

• Record Type: Journal Article
• Authors: Nasseri, S. H.; Verdegay, J. L.; Mahmoudi, F.
• Is Part Of: Fuzzy information and engineering. Volume 11:Issue 2(2019)
• Page Start: 221
• Page End: 238
• Publication Date: 2019-04-03
• Subjects: Multi-objective linear programming -- fuzzy interval flexible linear programming -- interval linear programming -- interval arithmetic -- flexible constraints; Fuzzy systems -- Periodicals; Intelligent control systems -- Periodicals; 629.89
• DOI: 10.1080/16168658.2021.1886821
• Languages: English
• ISSNs: 1616-8658

Abstract

ABSTRACT: Recently fuzzy interval flexible linear programs have attracted many interests. These models are an extension of the classical linear programming which deal with crisp parameters. However, in most of the real-world applications, the nature of the parameters of the decision-making problems are generally imprecise. Such uncertainties can lead to increased complexities in the related optimisation efforts. Simply ignoring these uncertainties is considered undesired as it may result in inferior or wrong decisions. Therefore, inexact linear programming methods are desired under uncertainty. In this paper, we concentrate a fuzzy flexible linear programming model with flexible constraints and the interval objective function and then propose a new solving approach based on solving an associated multi-objective model. Finally, a numerical example is included to illustrate the mentioned solving process.