Full Text:   <2544>

CLC number: TP39

On-line Access: 

Received: 2003-09-18

Revision Accepted: 2003-11-04

Crosschecked: 0000-00-00

Cited: 0

Clicked: 5686

Citations:  Bibtex RefMan EndNote GB/T7714

-   Go to

Article info.
Open peer comments

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


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",
publisher="Zhejiang University Press & Springer",

%0 Journal Article
%T The construction and combined operation for fuzzy consistent matrixes
%A YAO Min
%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

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

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


[1] Fan, Z.P., Ma, J., Zhang, Q., 2002. An approach to multiple attribute decision making based on fuzzy preference information on alternatives. Fuzzy Sets and Systems, 131:101-106. 

[2] Herrera, F., Lopez, E., Rodirguez, M.A., 2002. A linguistic decision model for promotion mix management solved with genetic algorithms. , Fuzzy Sets and Systems, 47-61. :47-61. 

[3] Li, H.J., 2001. Application of three standard degree method in group comparison and fuzzy comparison. System Engineering−. Theory and Practice, (in Chinese),21(7):87-91. 

[4] Niskanen, V.A., 2002. A soft multi-criteria decision-making approach to assessing the goodness of typical reasoning systems based on empirical data. Fuzzy Sets and Systems, 131:79-100. 

[5] Smolikova, R., Wachowiak, M.P., 2002. Aggregation operators for selection problems. Fuzzy Sets and Systems, 131:23-34. 

[6] Wang, P.Z., Li, H.X., 1996. Fuzzy System Theory and Fuzzy Computers, (in Chinese), Science Press, Beijing,:

[7] Williams, J., Steele, N., 2002. Difference, distance and similarity as a basis for fuzzy decision support based on prototypical decision classes. Fuzzy Sets and Systems, 131:35-46. 

[8] Xu, Z.S., 1999. Research on the relation of two scales in AHP. System Engineering−. Theory and Practice, (in Chinese),19(7):56-60. 

[9] Yao, M., Huang, Y.J., 1998. Fuzzy consistent relation and Decision making. Journal of Systems Engineering and Electronics, 9(2):14-18. 

[10] Zhang, J.Z., 2000. Fuzzy analytical Hi process. Fuzzy System and Mathematics, (in Chinese),14(2):80-88. 

[11] Zhou, D., Ma, J., Turban, E., Bolloju, N., 2002. A fuzzy set approach to the evaluation of journal grades. Fuzzy Sets and Systems, 131:63-74. 

Open peer comments: Debate/Discuss/Question/Opinion


Please provide your name, email address and a comment

Journal of Zhejiang University-SCIENCE, 38 Zheda Road, Hangzhou 310027, China
Tel: +86-571-87952783; E-mail: cjzhang@zju.edu.cn
Copyright © 2000 - 2023 Journal of Zhejiang University-SCIENCE