The satisfactory consistency of fuzzy preference relations

Author

Qian, Gang ; Feng, Xiang-qian

Author_Institution

Inst. of Manage. Sci. & Eng., Nanjing Normal Univ., Nanjing

Volume

1

fYear

2008

fDate

12-15 July 2008

Firstpage

600

Lastpage

605

Abstract

On the basis of geometric consistency (GCI) of multiplicative preference relations and the transformation relation between multiplicative preference relations and fuzzy preference relation, inconsistency measure of fuzzy preference relation and the thresholds associated with it are studied. A new satisfactory consistency concept of fuzzy preference relation is defined. For a fuzzy preference relation, which does not possess satisfactory consistency, an improving consistency approach is provided. Then, programming models for estimating interval priority weights from fuzzy preference relations is established. Finally, an example is given to illustrate the validity and practicality of the proposed methods.

Keywords

decision making; decision theory; fuzzy set theory; decision making; fuzzy preference relations; geometric consistency; inconsistency measure; interval priority weight; multiplicative preference relations; satisfactory consistency concept; transformation relation; Chromium; Conference management; Convergence; Decision making; Eigenvalues and eigenfunctions; Engineering management; Least squares approximation; Least squares methods; Machine learning; Testing; Consistency; Decision making; Fuzzy preference relations; Multiplicative preference relations; Thresholds;

fLanguage

English

Publisher

ieee

Conference_Titel

Machine Learning and Cybernetics, 2008 International Conference on

Conference_Location

Kunming

Print_ISBN

978-1-4244-2095-7

Electronic_ISBN

978-1-4244-2096-4

Type

conf

DOI

10.1109/ICMLC.2008.4620475

Filename

4620475