Equivalence Analysis of Two Different Methods for Solving Fuzzy Linear Systems
DOI:
https://doi.org/10.15377/2409-5761.2025.12.14Keywords:
Equivalence, Fuzzy numbers, Matrix computation, Fuzzy linear systemsAbstract
In this paper, the distinction and connection between a new approach introduced in [29] and the traditional method presented in [1] for some semi-fuzzy linear systems are discussed. Firstly, the consistency of some primary algebraic operations between the a-center and a–radius of a fuzzy number x~\widetilde{x}x and the a-levels of a fuzzy number x~\widetilde{x}x is analyzed. Secondly, the equivalence property of the computing model and the strong fuzzy solution in recent paper [29] by discussing the proposed method twenty-eight years ago [1] are considered. Then, the dual fuzzy linear systems are also investigated in a similar way. Finally, two classical and well known examples are given to show the validity of the new method in which the idea and approach can be applied to simplifying calculation of any semi-fuzzy linear systems.
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