GÖDEL REPRESENTABLE FUZZY WEAK ORDERS-Reference-Cited by-同舟云学术

GÖDEL REPRESENTABLE FUZZY WEAK ORDERS

Published:1999-04 Issue:02 Volume:07 Page:135-153
ISSN:0218-4885
Container-title:International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems
language:en
Short-container-title:Int. J. Unc. Fuzz. Knowl. Based Syst.

Author:

DE BAETS BERNARD¹,FODOR JÁNOS²,KERRE ETIENNE³

Affiliation:

1. Department of Applied Mathematics and Computer Science, University of Gent, Krijgslaan 281 (S9), B-9000 Gent, Belgium

2. Department of Mathematics, University of Agricultural Sciences (GATE), Páter Károly u. 1, H-2103 Gödöllő, Hungary

3. Department of Applied Mathematics and Computer Science, University of Gent, Krijgslaan 281 (S9), B-9000 Gent, Belgium

Abstract

This paper is devoted to the study of fuzzy weak orders, fuzzy quasi orders and fuzzy quasi-transitive relations in the context of group decision making. Transitivity is modelled by means of the minimum operator. In analogy to the numerical representation of classical weak orders, we consider a particular class of fuzzy weak orders that can be constructed from a numerical evaluation by means of Gödel implicator. We fully characterize the fuzzy relations that can be written as the intersection or union of a finite family of these so-called Gödel representable fuzzy weak orders.

Publisher

World Scientific Pub Co Pte Lt

Subject

Artificial Intelligence,Information Systems,Control and Systems Engineering,Software

Link

https://www.worldscientific.com/doi/pdf/10.1142/S021848859900009X

Reference9 articles.

1. Special properties, closures and interiors of crisp and fuzzy relations

2. On aggregation of T-transitive fuzzy binary relations

3. Structure of fuzzy binary relations

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