Intuitionistic Fuzzy Soft Hyper BCK Algebras

Maji et al. introduced the concept of fuzzy soft sets as a generalization of the standard soft sets, and presented an application of fuzzy soft sets in a decision-making problem. Maji et al. also introduced the notion of intuitionistic fuzzy soft sets in the paper [P.K. Maji, R. Biswas and A.R. Roy,...

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Bibliographic Details
Published in:Symmetry (Basel) 2019-03, Vol.11 (3), p.399
Main Authors: Xin, Xiaolong, Borzooei, Rajab Ali, Bakhshi, Mahmood, Jun, Young Bae
Format: Article
Language:English
Subjects:
Algebra
Decision making
Fuzzy sets
intuitionistic fuzzy soft hyper BCK ideal
intuitionistic fuzzy soft s-weak hyper BCK-ideal
intuitionistic fuzzy soft strong hyper BCK-ideal
intuitionistic fuzzy soft weak hyper BCK ideal
Set theory
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Summary:Maji et al. introduced the concept of fuzzy soft sets as a generalization of the standard soft sets, and presented an application of fuzzy soft sets in a decision-making problem. Maji et al. also introduced the notion of intuitionistic fuzzy soft sets in the paper [P.K. Maji, R. Biswas and A.R. Roy, Intuitionistic fuzzy soft sets, The Journal of Fuzzy Mathematics, 9 (2001), no. 3, 677–692]. The aim of this manuscript is to apply the notion of intuitionistic fuzzy soft set to hyper BCK algebras. The notions of intuitionistic fuzzy soft hyper BCK ideal, intuitionistic fuzzy soft weak hyper BCK ideal, intuitionistic fuzzy soft s-weak hyper BCK-ideal and intuitionistic fuzzy soft strong hyper BCK-ideal are introduced, and related properties and relations are investigated. Characterizations of intuitionistic fuzzy soft (weak) hyper BCK ideal are considered. Conditions for an intuitionistic fuzzy soft weak hyper BCK ideal to be an intuitionistic fuzzy soft s-weak hyper BCK ideal are provided. Conditions for an intuitionistic fuzzy soft set to be an intuitionistic fuzzy soft strong hyper BCK ideal are given.
ISSN:2073-8994
2073-8994
DOI:10.3390/sym11030399