Fuzzy approximating functions and its application in solving fuzzy multi-choice linear programming models
محل انتشار: مجله مدلسازی ریاضی، دوره: 11، شماره: 4
سال انتشار: 1402
نوع سند: مقاله ژورنالی
زبان: انگلیسی
مشاهده: 144
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شناسه ملی سند علمی:
JR_JMMO-11-4_004
تاریخ نمایه سازی: 19 خرداد 1403
چکیده مقاله:
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.
کلیدواژه ها:
Fuzzy multi-choice linear programming model ، fuzzy binary variable approach ، fuzzy interpolation polynomials ، fuzzy least squares method
نویسندگان
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