Some properties of intuitionistic fuzzy bitopological spaces

Author

Seok Jong Lee ; Jin Tae Kim

Author_Institution

Dept. of Math., Chungbuk Nat. Univ., Cheongju, South Korea

fYear

2012

fDate

20-24 Nov. 2012

Firstpage

1040

Lastpage

1045

Abstract

We introduce the concept of intuitionistic fuzzy bitopological spaces as a generalization of fuzzy bitopological spaces. Next, we introduce different types of open sets in intuitionistic fuzzy bitopological spaces, and investigate some of their basic properties. Using these concepts, the characterizations for the intuitionistic fuzzy pairwise semicontinuous and precontinuous mappings are obtained. The relationships between intuitionistic fuzzy pairwise semicontinuous and precontinuous mappings are discussed. Finally, we prove that the category of all fuzzy bitopological spaces and pairwise continuous mappings is a bireflective full subcategory of the category of all intuitionistic fuzzy bitopological spaces and intuitionistic fuzzy pairwise continuous mappings.

Keywords

fuzzy set theory; topology; bireflective full subcategory; fuzzy bitopological space generalization; intuitionistic fuzzy bitopological space property; intuitionistic fuzzy pairwise precontinuous mapping; intuitionistic fuzzy pairwise semicontinuous mapping;

fLanguage

English

Publisher

ieee

Conference_Titel

Soft Computing and Intelligent Systems (SCIS) and 13th International Symposium on Advanced Intelligent Systems (ISIS), 2012 Joint 6th International Conference on

Conference_Location

Kobe

Print_ISBN

978-1-4673-2742-8

Type

conf

DOI

10.1109/SCIS-ISIS.2012.6505156

Filename

6505156