Abstract | ||
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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. |
Year | DOI | Venue |
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2021 | 10.1007/s00500-020-05460-z | SOFT COMPUTING |
Keywords | DocType | Volume |
LR-bipolar fuzzy linear system, LR-bipolar fuzzy number, LR-complex bipolar fuzzy linear system, LR-bipolar fuzzy complex number | Journal | 25 |
Issue | ISSN | Citations |
1 | 1432-7643 | 1 |
PageRank | References | Authors |
0.36 | 0 | 4 |
Name | Order | Citations | PageRank |
---|---|---|---|
Muhammad Akram | 1 | 365 | 54.94 |
Tofigh Allahviranloo | 2 | 426 | 41.47 |
W. Pedrycz | 3 | 13966 | 1005.85 |
Muhammad Ali | 4 | 1 | 0.36 |