Introduction to fuzzy soft groups

  • Authors:
  • Abdülkadir Aygünolu;Halis Aygün

  • Affiliations:
  • Department of Mathematics, University of Kocaeli, Umuttepe Campus, 41380, Kocaeli, Turkey;Department of Mathematics, University of Kocaeli, Umuttepe Campus, 41380, Kocaeli, Turkey

  • Venue:
  • Computers & Mathematics with Applications
  • Year:
  • 2009

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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.