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

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  • Eun Hwan Roh
  • Young Bae Jun

Abstract

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.

Suggested Citation

  • Eun Hwan Roh & Young Bae Jun, 2013. "Positive Implicative Ideals of BCK-Algebras Based on Intersectional Soft Sets," Journal of Applied Mathematics, Hindawi, vol. 2013, pages 1-9, May.
    • Handle: RePEc:hin:jnljam:853907
    DOI: 10.1155/2013/853907
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