Fuzzy Systems and its Applications

Fuzzy Systems and its Applications

Fuzzy polynomials to solve fuzzy multi-choice goal programming

Document Type : Original Article

Authors
Zahra Arami
Maryam Arabameri
Hassan mishmast
Department of Mathematics, Faculty of Mathematics, Statistics and Computer Science, University of Sistan and Baluchestan, Zahedan, Iran
10.22034/jfsa.2023.188514
Abstract
One of the methods of solving multi-objective programming problems is to use goal programming problems. In this way, the decision maker considers an aspiration level for each objective function. In real-life problems there may be several aspiration levels available for an objective function or these aspiration levels are of a fuzzy type, in which case fuzzy multi-choice goal programming problems arise. In this article, the introducing and solving of fuzzy multi-choice goal programming problems are discussed, such hat the problem converts to a fuzzy multi-choice programming problem in which there are multi- choices for the right-hand side of the constraint. Then, by using fuzzy binary polynomial and fuzzy linear least squares polynomial, a classical linear programming problem is obtained, and the solution of the problem is obtained by solving it using Lingo software. The described algorithm is applied to solve a practical example in the field of fuzzy multi-choice optimal programming problems, and the previous results are compared and analyzed with the results obtained from this method.
Keywords
Fuzzy goal programming
Multi aspiration levels
Fuzzy aspiration levels
Fuzzy binary polynomial
Fuzzy linear least squares method
Subjects
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Fuzzy Systems and its Applications
Volume 6, Issue 2 - Serial Number 13
Open Access Statement
December 2024
Pages 51-64

  • Receive Date 11 July 2023
  • Revise Date 28 August 2023
  • Accept Date 22 January 2024