Solving Fuzzy LR Interval Linear Systems using Nonlinear Programming
الموضوعات : Fuzzy Optimization and Modeling JournalKhatere Ghorbani-Moghadam 1 , Reza Ghanbari 2 , Mahnoosh Salari 3
1 - Mosaheb Institute of Mathematics, Kharazmi University, Tehran, Iran
2 - Faculty of Mathematical Sciences, Ferdowsi University of Mashhad, Mashhad, Iran.
3 - Department of Mathematical Sciences, Ferdowsi University of Mashhad, Iran
الکلمات المفتاحية: Fuzzy linear systems, LR fuzzy interval, Approximate solution, Quadratic programming,
ملخص المقالة :
In this paper, we use the least squares method to solve LR fuzzy interval systems by transforming an interval fuzzy number into two triangular fuzzy numbers. Then, we reduce the distance between the two obtained triangular fuzzy numbers to solve the fuzzy LR interval linear system. Essentially, we convert an LR fuzzy interval linear system into a triangular fuzzy linear system and subsequently solve it using the least squares method introduced in [17, 18].
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