Title :
Self-duality of fuzzy integral-based TL- and SL-evaluators
Author :
Bodjanova, Slavka ; Kalina, Martin
Author_Institution :
Dept. of Math., Texas A&M Univ.-Kingsville, Kingsville, TX
Abstract :
Previously, we introduced the notion of a T L- (S L-) evaluator [1]. In this paper we study the Choquet, Sugeno and Shilkret integrals and their level-dependent modifications as T L- (S L-) evaluators. We investigate under which conditions these integral-based evaluators are self-dual. Our work is a continuation of [1, 2, 6, 7].
Keywords :
duality (mathematics); fuzzy set theory; Choquet integrals; Shilkret integrals; Sugeno integrals; fuzzy integral self-duality; integral-based evaluators; level-dependent modifications; Aggregates; Lattices; Mathematics; SL-evaluator; Self-duality; TL-evaluator; fuzzy integral; level-dependent fuzzy integral;
Conference_Titel :
Intelligent Systems and Informatics, 2008. SISY 2008. 6th International Symposium on
Conference_Location :
Subotica
Print_ISBN :
978-1-4244-2406-1
Electronic_ISBN :
978-1-4244-2407-8
DOI :
10.1109/SISY.2008.4664968
