SOFT SETS AND SOFT BCH-ALGEBRAS

Authors : O KAZANCİ, S YİLMAZ, S YAMAK

Pages : 205-217

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Publication Date : 2010-02-01

Article Type : Research Paper

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