Title :
The satisfactory consistency of fuzzy preference relations
Author :
Qian, Gang ; Feng, Xiang-qian
Author_Institution :
Inst. of Manage. Sci. & Eng., Nanjing Normal Univ., Nanjing
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;
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
DOI :
10.1109/ICMLC.2008.4620475
