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

被引：6
|
作者：
Dehghan, Mehdi [1 ]
Ghatee, Mehdi [2 ]
Hashemi, Behnam [1 ]
机构：
[1] Amirkabir Univ Technol, Dept Appl Math, Fac Math & Comp Sci, Tehran, Iran
[2] Amirkabir Univ Technol, Dept Comp Sci, Tehran, Iran
来源：
INTERNATIONAL JOURNAL OF UNCERTAINTY FUZZINESS AND KNOWLEDGE-BASED SYSTEMS | 2008年 / 16卷 / 05期
关键词：
Fuzzy matrix; LR fuzzy number; fuzzy arithmetic; fuzzy determinant; fuzzy norm; fuzzy eigenvalue;
D O I：
10.1142/S0218488508005583
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
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 Prade(1) 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.
引用
收藏
页码：715 / 733
页数：19
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