Title :
Sugeno and Shilkret integrals, and T- and S-evaluators
Author :
Bodjanova, Slavka ; Kalina, Martin
Author_Institution :
Dept. of Math., Texas A&M Univ. - Kingsville, Kingsville, TX, USA
Abstract :
At SISY 2008 conference we studied the Sugeno, Shilkret and Choquet integrals and some of their level-dependent modifications as TL-(SL-) evaluators. In this contribution we give an overview of possible level-dependent generalizations of Sugeno and Shilkret integrals. We show under which conditions these integrals and their generalizations are T- and/or S-evaluators for an arbitrary t-norm T and t-conorm S.
Keywords :
fuzzy logic; integral equations; Choquet integrals; S-evaluators; Shilkret integrals; Sugeno integrals; T-evaluators; t-conorm S; t-norm T; Boundary conditions; Fuzzy sets; Lattices; Mathematics; Stress measurement; Fuzzy integral; S-evaluator; T-evaluator; level-dependent integral;
Conference_Titel :
Intelligent Systems and Informatics, 2009. SISY '09. 7th International Symposium on
Conference_Location :
Subotica
Print_ISBN :
978-1-4244-5348-1
Electronic_ISBN :
978-1-4244-5349-8
DOI :
10.1109/SISY.2009.5291185
