Applications of soft sets in ideal theory of BCK/BCI-algebras

Authors:
Young Bae Jun;Chul Hwan Park
Affiliations:
Department of Mathematics Education (and RINS), Gyeongsang National University, Chinju 660-701, Republic of Korea;Department of Mathematics, University of Ulsan, Ulsan 680-749, Republic of Korea
Venue:
Information Sciences: an International Journal
Year:
2008

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Abstract

The notion of soft ideals and idealistic soft BCK/BCI-algebras is introduced, and several examples are given. Relations between soft BCK/BCI-algebras and idealistic soft BCK/BCI-algebras are provided. The intersection, union, ''AND'' operation, and ''OR'' operation of soft ideals and idealistic soft BCK/BCI-algebras are established.