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http://dx.doi.org/10.14317/jami.2015.671

ON SOME PROPERTIES OF SOFT α-IDEALS  

TOUQEER, M. (Department of Mathematics, University of the Punjab, Quaid-e-Azam Campus)
ASLAM MALIK, M. (Department of Mathematics, University of the Punjab, Quaid-e-Azam Campus)
Publication Information
Journal of applied mathematics & informatics / v.33, no.5_6, 2015 , pp. 671-686 More about this Journal
Abstract
The notion of soft α-ideals and α-idealistic soft BCI-algebras is introduced and their basic properties are discussed. Relations between soft ideals and soft α-ideals of soft BCI-algebras are provided. Also idealistic soft BCI-algebras and α-idealistic soft BCI-algebras are being related. The restricted intersection, union, restricted union, restricted difference and "AND" operation of soft α-ideals and α-idealistic soft BCI-algebras are established. The characterizations of (fuzzy) α-ideals in BCI-algebras are given by using the concept of soft sets. Relations between fuzzy α-ideals and α-idealistic soft BCI-algebras are discussed.
Keywords
Soft set; (α-idealistic) soft BCI-algebra; Soft ideal; Soft α-ideal;
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