IDEALS OF PSEUDO MV-ALGEBRAS BASED ON VAGUE SET THEORY

Authors

  • 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
Abstract:

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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Journal title

volume 6  issue 2

pages  31- 45

publication date 2009-06-10

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