Fuzzy approximating functions and its application in solving fuzzy multi-choice linear programming models
Publish place: Journal of Mathematical Modeling، Vol: 11، Issue: 4
Publish Year: 1402
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:
JR_JMMO-11-4_004
تاریخ نمایه سازی: 19 خرداد 1403
Abstract:
This article considers a particular type of fuzzy multi-choice linear programming (FMCLP) model in which there are several choices for the fuzzy parameters on the right-hand side (RHS) of problem constraints. We first construct the fuzzy polynomials to solve this model using the fuzzy multi-choice parameters on the RHS of constraints. We construct the fuzzy polynomials by approximating fuzzy functions, including the binary variable approach, Lagrange, and Newton's interpolating polynomials. Also, we use the least squares approach to construct the approximating fuzzy polynomial. Then we solve the resulting model. Finally, we will examine the above techniques in numerical examples.
Keywords:
Fuzzy multi-choice linear programming model , fuzzy binary variable approach , fuzzy interpolation polynomials , fuzzy least squares method
Authors
Zahra Arami
Department of Mathematics, University of Sistan and Baluchestan, Zahedan, Iran
Maryam Arabameri
Department of Mathematics, University of Sistan and Baluchestan, Zahedan, Iran
Hasan Mishmast Nehi
Department of Mathematics, University of Sistan and Baluchestan, Zahedan, Iran