Interval intuitionistic fuzzy-valued Sugeno integral

Author

Liu, Yongsheng ; Kong, Zhaojun

Author_Institution

Sch. of Manage. & Econ., Beijing Inst. of Technol., Beijing, China

fYear

2012

fDate

29-31 May 2012

Firstpage

89

Lastpage

92

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;

fLanguage

English

Publisher

ieee

Conference_Titel

Fuzzy Systems and Knowledge Discovery (FSKD), 2012 9th International Conference on

Conference_Location

Sichuan

Print_ISBN

978-1-4673-0025-4

Type

conf

DOI

10.1109/FSKD.2012.6233714

Filename

6233714