Signed distance ranking based approach for solving bounded interval-valued fuzzy numbers linear programming problems |
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| Authors: | Ali Ebrahimnejad Jose Luis Verdegay Harish Garg |
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| Affiliation: | 1. Department of Mathematics, Qaemshahr Branch, Islamic Azad University, Qaemshahr, Iran;2. Department of Computer Science and Artificial Intelligence, University of Granada, Granada, Spain;3. School of Mathematics, Thapar Institute of Engineering & Technology (Deemed University), Patiala, Punjab, India |
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| Abstract: | Fuzzy linear programming (FLP) problems with a wide varietyof applications in sciencesand engineering allow working with imprecise data and constraints, leading to more realistic models. The main contribution of this study is to deal with the formulation of a kind of FLP problems, known as bounded interval-valued fuzzy numbers linear programming (BIVFNLP) problems, with coefficients of decision variables in the objective function, resource vector, and coefficients of the technological matrix represented as interval-valued fuzzy numbers (IVFNs), and crisp decision variables limited to lower and upper bounds. Here, based on signed distance ranking to order IVFNs, the bounded simplex method is extended to obtain an interval-valued fuzzy optimal value for the BIVFNLP problem under consideration. Finally, one illustrative example is given to show the superiority of the proposed algorithm over the existing ones. |
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| Keywords: | bounded linear programming interval-valued trapezoidal fuzzy numbers signed distance ranking |
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