Solving Fully Fuzzy Dual Matrix System With Optimization Problem
سال انتشار: 1399
نوع سند: مقاله ژورنالی
زبان: انگلیسی
مشاهده: 38
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شناسه ملی سند علمی:
JR_IJIM-12-2_001
تاریخ نمایه سازی: 26 دی 1402
چکیده مقاله:
In this paper, the fuzzy dual matrix system as AX + B = CX + D in which A, B, C, D, X are LR fuzzy matrices is studied. At first we solve ۱-cut system in order to find the core of LR fuzzy solution; then to obtain the spreads of the LR fuzzy solution, we discuss in several cases. The spreads are obtained by using multiplication, quasi norm and minimization problem with a special objective function. We prove some theorems and we suggest conditions in which the fuzzy dual matrix system of AX + B = CX + D and the fuzzy matrix system of (A -H C)X = (D - H B) have the same LR fuzzy solution and we discuss about the conditions where LR fuzzy dual matrix system has crisp solution. Finally numerical examples are solved to illustrate the ability, accuracy and capability of the proposed method.
کلیدواژه ها:
نویسندگان
F. Babakordi
Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran.
M. S. Adabitabar Firozja
Department of Mathematics, Science and Research Branch, Islamic Azad University, Ghaemshahr, Iran.