Title :
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
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;
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
DOI :
10.1109/CCDC.2008.4597691
