Positive Implicative Ideals of BCK-Algebras Based on Intersectional Soft Sets | Zendy

Eun Hwan Roh | Zendy; Young Bae Jun | Zendy

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Positive Implicative Ideals of BCK-Algebras Based on Intersectional Soft Sets

Author(s) -

Eun Hwan Roh,

Young Bae Jun

Publication year - 2013

Publication title -

journal of applied mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.307

H-Index - 43

eISSN - 1687-0042

pISSN - 1110-757X

DOI - 10.1155/2013/853907

Subject(s) - ideal (ethics) , intersection (aeronautics) , mathematics , product (mathematics) , algebraic number , discrete mathematics , geometry , mathematical analysis , epistemology , philosophy , engineering , aerospace engineering

The aim of this paper is to lay a foundation for providing a soft algebraic tool in considering many problems that contain uncertainties. In order to provide these soft algebraic structures, the notion of int-soft positive implicative ideals is introduced, and related properties are investigated. Relations between an int-soft ideal and an int-soft positive implicative ideal are established. Characterizations of an int-soft positive implicative ideal are obtained. Extension property for an int-soft positive implicative ideal is constructed. The ∧-product and ∨-product of int-soft positive implicative ideals are considered, and the soft intersection (resp., union) of int-soft positive implicative ideals is discussed

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