Journal of Applied Mathematics (Jan 2012)

Closed Int Soft -Ideals and Int Soft c--Ideals

  • Young Bae Jun,
  • Kyoung Ja Lee,
  • Eun Hwan Roh

DOI
https://doi.org/10.1155/2012/125614
Journal volume & issue
Vol. 2012

Abstract

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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 notions of closed intersectional soft -ideals and intersectional soft commutative -ideals are introduced, and related properties are investigated. Conditions for an intersectional soft -ideal to be closed are provided. Characterizations of an intersectional soft commutative -ideal are established, and a new intersectional soft c--ideal from an old one is constructed.