• 제목/요약/키워드: intuitionistic fuzzy ${\alpha}$-closure

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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
    • 호남수학학술지
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    • 제32권2호
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    • pp.307-331
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    • 2010
  • 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.