Fuzzy Minimal Solution of Dual Fuzzy Linear Systems
نویسندگان
چکیده
In paper the fuzzy linear system d x C x A ~ ~ ~ where A and C are crisp matrices and n m d~ is a LR fuzzy numbers vector, is investigated in detail. We generalize the definition and arithmetic operations of LR fuzzy numbers and convert the dual fuzzy linear system to two crisp systems of linear equations. Then the minimal fuzzy solution of the original fuzzy system is obtained by solving two crisp linear equations. The existence condition of the strong LR fuzzy minimal solution is also discussed. Two examples are given to illustrate the proposed method. Our results enrich fuzzy linear systems theory.
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