Soft h-ideals of Soft BCI-algebras

Muhammad Aslam Malik  and Muhammad Touqeer nbsp

doi:10.17485/ijst/2015/v8iS3/60312

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Indian Journal of Science and Technology

DOI: 10.17485/ijst/2015/v8iS3/60312

Year: 2015, Volume: 8, Issue: Supplementary 3, Pages: 1-8

Original Article

Soft h-ideals of Soft BCI-algebras

Muhammad Aslam Malik^* and Muhammad Touqeer

Department of Mathematics, University of the Punjab, Quaid-e-Azam Campus, Lahore-54590, Pakistan; [email protected], [email protected]

This work is licensed under a Creative Commons Attribution 4.0 International License.

Abstract

The notion of soft h-ideals and h-idealistic soft BCI-algebras is introduced and their basic properties are discussed. Relations between soft ideals and soft h-ideals of soft BCI-algebras are provided. Also idealistic soft BCI-algebras and h-idealistic soft BCI-algebras are being related. The intersection, union, “AND” operation and “OR” operation of soft h-ideals and h-idealistic soft BCI-algebras are established. Using soft sets, characterizations of (fuzzy) h-ideals in BCI-algebras are given. Relations between fuzzy h-ideals and h-idealistic soft BCI-algebras are discussed.
Keywords: (h-idealistic) Soft BCI-algebra, Soft Ideal, Soft Set,,Soft h-ideal