A plea for the use of Łukasiewicz triplets in the definition of fuzzy preference structures. (I). General argumentation

1998 ◽  
Vol 97 (3) ◽  
pp. 349-359 ◽  
Author(s):  
Bartel Van de Walle ◽  
Bernard De Baets ◽  
Etienne Kerre
Keyword(s):  
Preference Structures ◽  
Definition Of ◽  
Fuzzy Preference

Transitivity Bounds in Additive Fuzzy Preference Structures

2007 ◽  
Vol 15 (2) ◽  
pp. 275-286 ◽  
Author(s):  
Susana Diaz ◽  
Susana Montes ◽  
Bernard De Baets
Keyword(s):  
Preference Structures ◽  
Fuzzy Preference

scholarly journals FUZZY STRICT PREFERENCE RELATIONS COMPATIBLE WITH FUZZY ORDERINGS

2010 ◽  
Vol 18 (01) ◽  
pp. 13-24 ◽  
Author(s):  
BONIFACIO LLAMAZARES ◽  
BERNARD DE BAETS
Keyword(s):  
Equivalence Relation ◽  
Preference Relation ◽  
Strict Preference ◽  
Preference Modelling ◽  
Preference Relations ◽  
Weak Preference ◽  
Indifference Relation ◽  
Definition Of ◽  
Fuzzy Orderings ◽  
Fuzzy Preference

One of the most important issues in the field of fuzzy preference modelling is the construction of a fuzzy strict preference relation and a fuzzy indifference relation from a fuzzy weak preference relation. Here, we focus on a particular class of fuzzy weak preference relations, the so-called fuzzy orderings. The definition of a fuzzy ordering involves a fuzzy equivalence relation and, in this paper, the latter will be considered as the corresponding fuzzy indifference relation. We search for fuzzy strict preference relations compatible with a given fuzzy ordering and its fuzzy indifference relation. In many situations, depending on the t-norm and t-conorm used, this quest results in a unique fuzzy strict preference relation. Our aim is to characterize these fuzzy strict preference relations and to study their transitivity.

Twenty years of fuzzy preference structures (1978–1997)

1997 ◽  
Vol 20 (1) ◽  
pp. 45-66 ◽  
Author(s):  
Bernard Baets ◽  
János C. Fodor
Keyword(s):  
Preference Structures ◽  
Fuzzy Preference
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