IDEALS OF PSEUDO MV-ALGEBRAS BASED ON VAGUE SET THEORY

نویسندگان

  • Chul Hwan Park Department of Mathematics, University of Ulsan, Ulsan 680-749, Korea
  • Young Bae Jun Department of Mathematics Education and (RINS), Gyeongsang National University, Chinju 660-701, Korea
چکیده مقاله:

The notion of vague ideals in pseudo MV-algebras is introduced,and several properties are investigated. Conditions for a vague set to be avague ideal are provided. Conditions for a vague ideal to be implicative aregiven. Characterizations of (implicative, prime) vague ideals are discussed.The smallest vague ideal containing a given vague set is established. Primeand implicative extension property for a vague ideal is discussed.

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ideals of pseudo mv-algebras based on vague set theory

the notion of vague ideals in pseudo mv-algebras is introduced,and several properties are investigated. conditions for a vague set to be avague ideal are provided. conditions for a vague ideal to be implicative aregiven. characterizations of (implicative, prime) vague ideals are discussed.the smallest vague ideal containing a given vague set is established. primeand implicative extension proper...

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عنوان ژورنال

دوره 6  شماره 2

صفحات  31- 45

تاریخ انتشار 2009-06-10

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