A New Method to Solve Fuzzy Interval Flexible Linear Programming Using a Multi-Objective Approach
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Taylor & Francis
Multi-objective linear programmingFuzzy interval flexible linear programmingInterval linear programmingInterval arithmeticFlexible constraints
S. H. Nasseri, J. L. Verdegay & F. Mahmoudi (2021): A New Method to Solve Fuzzy Interval Flexible Linear Programming Using a Multi-Objective Approach, Fuzzy Information and Engineering, DOI: [10.1080/16168658.2021.1906154]
SponsorshipUniversity of Mazandaran; Spanish Ministry of Economy and Competitiveness TIN2017-86647-P; European Commission
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 decisionmaking problems is 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,weconcentrate 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, numerical example is included to illustrate the mentioned solving process.