IDEALS OF PSEUDO MV-ALGEBRAS BASED ON VAGUE SET THEORY
نویسندگان
1 Department of Mathematics, University of Ulsan, Ulsan 680-749, Korea
2 Department of Mathematics Education and RINS, Gyeongsang National University, Chinju 660-701, Korea
doi
10.22111/ijfs.2009.206چکیده
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.
