Open Access
2013 Positive Implicative Ideals of BCK-Algebras Based on Intersectional Soft Sets
Eun Hwan Roh, Young Bae Jun
J. Appl. Math. 2013: 1-9 (2013). DOI: 10.1155/2013/853907

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.

Citation

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Eun Hwan Roh. Young Bae Jun. "Positive Implicative Ideals of BCK-Algebras Based on Intersectional Soft Sets." J. Appl. Math. 2013 1 - 9, 2013. https://doi.org/10.1155/2013/853907

Information

Published: 2013
First available in Project Euclid: 14 March 2014

zbMATH: 1266.06028
MathSciNet: MR3056230
Digital Object Identifier: 10.1155/2013/853907

Rights: Copyright © 2013 Hindawi

Vol.2013 • 2013
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