Solving LR fuzzy linear matrix equation†

Authors

  • D. Shang Public Health College, Gansu University of Traditional Chinese Medicine, Lanzhou 730000, China
  • X. Guo College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, China
Abstract:

In this paper, the fuzzy matrix equation $Awidetilde{X}B=widetilde{C}$ in which $A,B$ are $n times n$crisp matrices respectively and $widetilde{C}$ is an $n times n$ arbitrary LR fuzzy numbers matrix, is investigated. A new numerical procedure for calculating the fuzzy solution is designed and a sufficient condition for the existence of strong fuzzy solution is derived. Some examples are given to illustrate the proposed method.

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Journal title

volume 16  issue 5

pages  33- 44

publication date 2019-10-01

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