A general framework for ordering fuzzy alternatives with respect to fuzzy orderings

Authors Ulrich Bodenhofer
Title A general framework for ordering fuzzy alternatives with respect to fuzzy orderings
Booktitle Proc. 8th Int. Conf. on Information Processing and Management of Uncertainty in Knowledge-Based Systems (IPMU 2000)
Type in proceedings
Volume II
Address Madrid, Spain
Mark invited
Month July
Year 2000
Pages 1071-1077
SCCH ID# 12
Abstract

Orderings of fuzzy sets play an important role in various disciplines. In the last 25 years, a lot a different approaches to this problem have been introduced, ranging form rather simple ones to quite exotic ones. The purpose of this paper is to present a new framework for comparing fuzzy sets with respect to fuzzy orderings which already includes several known techniques based on the extension principle. this approach, however, is applicable to fuzzy subsets of any kind of universe for which a fuzzy ordering, no matter whether linear or not, is known.