SOFT SETS AND SOFT BCH-ALGEBRAS

Year 2010, Volume: 39 Issue: 2, 205 - 217, 01.02.2010

O. Kazanci S. Yilmaz S. Yamak

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, ∨-union, ∧-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 BCHhomomorphism is introduced and its basic properties are studied.

Keywords

Soft sets, BCH-algebras, Soft BCH-algebras, 2000 AMS Classification: 06 F 35, Soft BCH-subalgebras

SOFT SETS AND SOFT BCH-ALGEBRAS

Abstract

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