Methods for solving LR-bipolar fuzzy linear systems

被引:29
作者
Akram, Muhammad [1 ]
Allahviranloo, Tofigh [2 ]
Pedrycz, Witold [3 ]
Ali, Muhammad [1 ]
机构
[1] Univ Punjab, Dept Math, New Campus, Lahore, Pakistan
[2] Bahcesehir Univ, Fac Engn & Nat Sci, Istanbul, Turkey
[3] Univ Alberta, Dept Elect & Comp Engn, Edmonton, AB, Canada
关键词
LR-bipolar fuzzy linear system; LR-bipolar fuzzy number; LR-complex bipolar fuzzy linear system; LR-bipolar fuzzy complex number; DECOMPOSITION METHOD; ITERATIVE METHOD; EQUATIONS;
D O I
10.1007/s00500-020-05460-z
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
In this paper, we propose a technique to solve LR-bipolar fuzzy linear system(BFLS), LR-complex bipolar fuzzy linear (CBFL) system with real coefficients and LR-complex bipolar fuzzy linear (CBFL) system with complex coefficients of equations. Initially, we solve the LR-BFLS of equations using a pair of positive(*) and negative(center dot) of two nxnLR-real linear systems by using mean values and left-right spread systems. We also provide the necessary and sufficient conditions for the solution of LR-BFLS of equations. We illustrate the method by using some numerical examples of symmetric and asymmetric LR-BFLS equations and obtain the strong and weak solutions to the systems. Further, we solve the LR-CBFL system of equations with real coefficients and LR-CBFL system of equations with complex coefficients by pair of positive(*) and negative(center dot) two nxn real and complex LR-bipolar fuzzy linear systems by using mean values and left-right spread systems. Finally, we show the usage of technique to solve the current flow circuit which is represented by LR-CBFL system with complex coefficients and obtain the unknown current in term of LR-bipolar fuzzy complex number.
引用
收藏
页码:85 / 108
页数:24
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