SOFT SETS AND SOFT BCH-ALGEBRAS

KAZANCI O., YILMAZ Ş., YAMAK S.

HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, vol.39, no.2, pp.205-217, 2010 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 39 Issue: 2
  • Publication Date: 2010
  • Journal Name: HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
  • Page Numbers: pp.205-217
  • Keywords: Soft sets, BCH-algebras, Soft BCH-algebras, Soft BCH-subalgebras, BCK/BCI-ALGEBRAS
  • Karadeniz Technical University Affiliated: Yes

Abstract

In this paper, the concept of soft BCH-algebra is introduced and in the meantime, some of their properties and structural characteristics are discussed and studied. The bi-intersection, extended intersection, restricted union, boolean OR-union, boolean AND-intersection and cartesian product of the family of soft BCH-algebras and soft BCH-subalgebras are established. Also, the theorems of homomorphic image and homomorphic pre-image of soft sets are given. Moreover, the notion of soft BCH-homomorphism is introduced and its basic properties are studied.