A note on the consistency of a fuzzy comparison matrix

Author

Cuiping, Wei ; Lili, Han ; Yuzhong, Zhang

Author_Institution

Coll. of Oper. & Manage., Qufu Normal Univ., Qufu

fYear

2008

fDate

2-4 July 2008

Firstpage

2077

Lastpage

2081

Abstract

The aim of this paper is to study the consistency of a fuzzy comparison matrix. A sufficient and necessary condition in terms of the kernels of fuzzy numbers is given to judge the consistency of a fuzzy comparison matrix, which can help the decision makers interpret the consistency of the fuzzy comparison matrix more directly. Then a notion of the satisfactory consistency for a fuzzy comparison matrix is introduced, and a mathematical programming model is also proposed to judge whether or not the fuzzy comparison matrix is of satisfactory consistency. Two examples are examined to show the feasibility and the validity of the test method.

Keywords

decision making; fuzzy set theory; mathematical programming; matrix algebra; operations research; decision making; fuzzy comparison matrix; fuzzy numbers; mathematical programming model; Chromium; Decision making; Educational institutions; Eigenvalues and eigenfunctions; Kernel; Marine vehicles; Mathematical model; Mathematical programming; Testing; Uncertainty; Consistency; Fuzzy Numbers; Multi-Criteria Decision Making;

fLanguage

English

Publisher

ieee

Conference_Titel

Control and Decision Conference, 2008. CCDC 2008. Chinese

Conference_Location

Yantai, Shandong

Print_ISBN

978-1-4244-1733-9

Electronic_ISBN

978-1-4244-1734-6

Type

conf

DOI

10.1109/CCDC.2008.4597691

Filename

4597691