The Semi inverse of Max-Min Product of Fuzzy Matrices
نویسندگان
چکیده
We introduce the concept of sandwich set of two fuzzy matrices.By using the new concept of sandwich set, we provide a method for finding a semi inverse of max-min product of fuzzy matrices. 1. Introduction Generalized inverse of matrices and its applications are studied by Rao and Mitra[3]. Ren et.al[4] introduced the concept of sandwich sets of matrices. By using the sandwich sets of matrices, they provided an effective method for finding a semi inverse of product of two matrices. The Fuzzy matrices are successfully used when fuzzy uncertainty occurs in a problem. Fuzzy matrices become popular for last two decades. In 1977, Thomasan [5] initiated the study on convergence of powers of fuzzy matrices. Kim and Roush [1] gave a systematic development to fuzzy matrix theory. They introduced various inverses of a fuzzy matrix. Also, they gave algorithms to find the inverse and generalized inverse of a given fuzzy matrix. It is well known that, semi inverse exist for a complex matrix [2],whereas for a fuzzy matrix,this need not be true.
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