On algebraic structure of intuitionistic fuzzy soft sets

Authors:
Yunqiang Yin;Hongjie Li;Young Bae Jun
Affiliations:
State Key Laboratory Breeding Base of Nuclear Resources and Environment, East China Institute of Technology, Nanchang, 330013, China and School of Sciences, East China Institute of Technology, Fuz ...;Mathematics Department of Zhoukou Normal University, Zhoukou 466000, China;Department of Mathematics Education (and RINS), Gyeongsang National University, Chinju 660-701, Republic of Korea
Venue:
Computers & Mathematics with Applications
Year:
2012

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Abstract

Maji et al. introduced the concept of intuitionistic fuzzy soft sets which is a generalization of fuzzy soft sets and standard soft sets. In this paper, we further discuss the operation properties and algebraic structure of intuitionistic fuzzy soft sets. The lattice structures of intuitionistic fuzzy soft sets are derived. The notions of (@c,@d)-intuitionistic fuzzy soft equalities are introduced and their basic properties are investigated. The relationships between (@c,@d)-intuitionistic fuzzy soft equalities and soft equalities introduced by Qin and Hong are developed. The notion of a mapping on intuitionistic fuzzy soft classes is introduced and several properties of the image and inverse image of intuitionistic fuzzy soft sets are presented.