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http://dx.doi.org/10.5831/HMJ.2010.32.2.307

SEVERAL KINDS OF INTUITIONISTIC FUZZY OPEN SETS AND INTUITIONISTIC FUZZY INTERIORS  

Kim, Chang-Su (Department of Mathematics Education Gyeongsang National University)
Kang, Jeong-Gi (Department of Mathematics Education Gyeongsang National University)
Kim, Myoung-Jo (Department of Mathematics Education Gyeongsang National University)
Ko, Mi-Young (Department of Mathematics Education Gyeongsang National University)
Park, Mi-Ran (Department of Mathematics Education Gyeongsang National University)
Publication Information
Honam Mathematical Journal / v.32, no.2, 2010 , pp. 307-331 More about this Journal
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 ${\gamma}$-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 ${\gamma}$-open set and an intuitionistic fuzzy semi-preopen set is considered. A condition for an intuitionistic fuzzy set to be an intuitionistic fuzzy ${\gamma}$-open set is discussed.
Keywords
Intuitionistic fuzzy semi-open (${\alpha}$-open, ${\gamma}$-open, semi-preopen, preopen, regular open) set; Intuitionistic fuzzy ${\alpha}$-interior (${\gamma}$-interior, semi-interior, preinterior, semi-pre-interior);
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