IDEALS OF PSEUDO MV-ALGEBRAS BASED ON VAGUE SET THEORY

Document Type: Research Paper

Authors

1 Department of Mathematics Education and (RINS), Gyeongsang National University, Chinju 660-701, Korea

2 Department of Mathematics, University of Ulsan, Ulsan 680-749, 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 a
vague ideal are provided. Conditions for a vague ideal to be implicative are
given. Characterizations of (implicative, prime) vague ideals are discussed.
The smallest vague ideal containing a given vague set is established. Prime
and implicative extension property for a vague ideal is discussed.

Keywords


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