Introduction to fuzzy soft groups

AYGÜNOĞLU A., AYGÜN H.

COMPUTERS & MATHEMATICS WITH APPLICATIONS, vol.58, no.6, pp.1279-1286, 2009 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 58 Issue: 6
  • Publication Date: 2009
  • Doi Number: 10.1016/j.camwa.2009.07.047
  • Journal Name: COMPUTERS & MATHEMATICS WITH APPLICATIONS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.1279-1286
  • Keywords: Fuzzy set, Soft set, Fuzzy soft set, Fuzzy group, Soft group, Fuzzy soft group, SETS
  • Kocaeli University Affiliated: Yes

Abstract

In this paper, the concept of fuzzy soft group is introduced and in the meantime, some of their properties and structural characteristics are discussed and studied. Furthermore, definitions of fuzzy soft function and fuzzy soft homomorphism are defined and the theorems of homomorphic image and homomorphic pre-image are given. After that, the definition of normal fuzzy soft group is given and some of its basic properties are studied. (C) 2009 Elsevier Ltd. All rights reserved.