Title :
Interval intuitionistic fuzzy-valued Sugeno integral
Author :
Liu, Yongsheng ; Kong, Zhaojun
Author_Institution :
Sch. of Manage. & Econ., Beijing Inst. of Technol., Beijing, China
Abstract :
The componentwise decomposition theorem of lattice-valued Sugeno integral is extended. The concepts of interval fuzzy-valued, intuitionistic fuzzy-valued and interval intuitionistic fuzzy-valued Sugeno integrals are introduced. It is shown that the intuitionistic fuzzy-valued Sugeno integrals and the interval fuzzy-valued Sugeno integrals are mathematically equivalent. The interval intuitionistic fuzzy-valued Sugeno integral can be decomposed into the interval fuzzy-valued and intuitionistic fuzzy-valued Sugeno integrals, or the original Sugeno integrals.
Keywords :
fuzzy set theory; integral equations; componentwise decomposition theorem; interval fuzzy-valued Sugeno integral; interval intuitionistic fuzzy-valued Sugeno integral; lattice-valued Sugeno integral; Barium; Economics; Educational institutions; Electronic mail; Fuzzy sets; Fuzzy systems; Lattices; componentwise decomposition theorem; interval intuitionistic fuzzy-valued Sugeno integral; lattice-valued Sugeno integral; lattice-valued fuzzy measure;
Conference_Titel :
Fuzzy Systems and Knowledge Discovery (FSKD), 2012 9th International Conference on
Conference_Location :
Sichuan
Print_ISBN :
978-1-4673-0025-4
DOI :
10.1109/FSKD.2012.6233714
