SEVERAL KINDS OF INTUITIONISTIC FUZZY OPEN SETS AND INTUITIONISTIC FUZZY INTERIORS

• Journal title : Honam Mathematical Journal
• Volume 32, Issue 2,  2010, pp.307-331
• Publisher : The Honam Mathematical Society
• DOI : 10.5831/HMJ.2010.32.2.307
Title & Authors
SEVERAL KINDS OF INTUITIONISTIC FUZZY OPEN SETS AND INTUITIONISTIC FUZZY INTERIORS
Kim, Chang-Su; Kang, Jeong-Gi; Kim, Myoung-Jo; Ko, Mi-Young; Park, Mi-Ran;

Abstract
The notion of intuitionistic fuzzy semi-pre interior (semi-pre closure) is introduced, and several related properties are investigated. Characterizations of an intuitionistic fuzzy regular open set, an intuitionistic fuzzy semi-open set and an intuitionistic fuzzy $\small{{\gamma}}$-open set are provided. A method to make an intuitionistic fuzzy regular open set (resp. intuitionistic fuzzy regular closed set) is established. A relation between an intuitionistic fuzzy $\small{{\gamma}}$-open set and an intuitionistic fuzzy semi-preopen set is considered. A condition for an intuitionistic fuzzy set to be an intuitionistic fuzzy $\small{{\gamma}}$-open set is discussed.
Keywords
Intuitionistic fuzzy semi-open ($\small{{\alpha}}$-open, $\small{{\gamma}}$-open, semi-preopen, preopen, regular open) set;Intuitionistic fuzzy $\small{{\alpha}}$-interior ($\small{{\gamma}}$-interior, semi-interior, preinterior, semi-pre-interior);
Language
English
Cited by
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