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SOME COMPUTATIONS ON FUZZY MATRICES: AN APPLICATION IN FUZZY ANALYTICAL HIERARCHY PROCESS

Department of Applied Mathematics, Faculty of Mathematics and Computer Sciences, Amirkabir University of Technology, No. 424, Hafez Ave, Tehran, Iran

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MEHDI GHATEE

Department of Computer Science, Amirkabir University of Technology, Tehran, Iran

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, and

BEHNAM HASHEMI

Department of Applied Mathematics, Faculty of Mathematics and Computer Sciences, Amirkabir University of Technology, No. 424, Hafez Ave, Tehran, Iran

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https://doi.org/10.1142/S0218488508005583Cited by:8 (Source: Crossref)

Abstract

Fuzzy mathematics is a generalization in which fuzzy numbers replace real numbers and fuzzy arithmetic replaces real arithmetic. It is an excellent scope for modeling vague and uncertain aspects of the actual environments. In this important area, Dubois and Prade¹ defined a fuzzy matrix as a rectangular array of fuzzy numbers. They have also defined the LR type fuzzy numbers with some useful approximate arithmetic operators. The aim of this paper is to extend some useful aspects of linear algebra e.g. determinant, norm and eigenvalue for fuzzy matrices with LR fuzzy number entries by the use of fuzzy arithmetic. Finally, applications in fuzzy analytical hierarchy process (AHP) are investigated.

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