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Methods for solving LR-bipolar fuzzy linear systems

delete2021-01-02
delete28
PRE
AI
M
Muhammad Akram *
T
Tofigh Allahviranloo
W
Witold Pedrycz
M
Muhammad Ali
DOI:10.1007/s00500-020-05460-zdelete
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摘要

摘要

En 中文
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.
Keyword:
LR-bipolar fuzzy linear system
LR-bipolar fuzzy number
LR-complex bipolar fuzzy linear system
LR-bipolar fuzzy complex number

期刊

Soft Computing 封面图
Soft Computing
IF:
2.5
论文数:
1.0W
被引数:
2.1W

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Bahcesehir University
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university of alberta
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university of punjab
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