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Received: 2003-09-18

Revision Accepted: 2003-11-04

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Journal of Zhejiang University SCIENCE A 2005 Vol.6 No.1 P.27-31

http://doi.org/10.1631/jzus.2005.A0027


The construction and combined operation for fuzzy consistent matrixes*


Author(s):  Min Yao1, Bin Shen1, Jian-hua Luo2

Affiliation(s):  1. School of Computer Science, Zhejiang University, Hangzhou 310027, China; more

Corresponding email(s):   myao@zju.edu.cn

Key Words:  Fuzzy consistent matrix, Fuzzy consistent relation, Compound operation


YAO Min, SHEN Bin, LUO Jian-hua. The construction and combined operation for fuzzy consistent matrixes[J]. Journal of Zhejiang University Science A, 2005, 6(1): 27-31.

@article{title="The construction and combined operation for fuzzy consistent matrixes",
author="YAO Min, SHEN Bin, LUO Jian-hua",
journal="Journal of Zhejiang University Science A",
volume="6",
number="1",
pages="27-31",
year="2005",
publisher="Zhejiang University Press & Springer",
doi="10.1631/jzus.2005.A0027"
}

%0 Journal Article
%T The construction and combined operation for fuzzy consistent matrixes
%A YAO Min
%A SHEN Bin
%A LUO Jian-hua
%J Journal of Zhejiang University SCIENCE A
%V 6
%N 1
%P 27-31
%@ 1673-565X
%D 2005
%I Zhejiang University Press & Springer
%DOI 10.1631/jzus.2005.A0027

TY - JOUR
T1 - The construction and combined operation for fuzzy consistent matrixes
A1 - YAO Min
A1 - SHEN Bin
A1 - LUO Jian-hua
J0 - Journal of Zhejiang University Science A
VL - 6
IS - 1
SP - 27
EP - 31
%@ 1673-565X
Y1 - 2005
PB - Zhejiang University Press & Springer
ER -
DOI - 10.1631/jzus.2005.A0027


Abstract: 
Fuzziness is one of the general characteristics of human thinking and objective things. Introducing fuzzy techniques into decision-making yields very good results. fuzzy consistent matrix has many excellent characteristics, especially center-division transitivity conforming to the reality of the human thinking process in decision-making. This paper presents a new approach for creating fuzzy consistent matrix from mutual supplementary matrix in fuzzy decision-making. At the same time, based on the distance between individual fuzzy consistent matrix and average fuzzy consistent matrix, a kind of combined operation for several fuzzy consistent matrixes is presented which reflects most opinions of experienced experts. Finally, a practical example shows its flexibility and practicability further.

Darkslateblue:Affiliate; Royal Blue:Author; Turquoise:Article

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