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1.
Soft set theory and hypercompositional algebras
Hashem Bordbar, 2020, published scientific conference contribution abstract

Abstract: Some applications of soft set theory and fuzzy soft set theory (as a generalization of the soft set theory) in the decision-making problem were investigated by Maji et al. in [1]. The aim of this manuscript is to apply the concept of (fuzzy) soft set theory in some hypercompositional structure and especially hyper BCK-algebra. Some notations related to our hyperstructure are introduced and some examples are provided.
Keywords: Soft set theory, Hyper BCK-algebra, Fuzzy soft set theory.
Published in RUNG: 08.07.2020; Views: 2355; Downloads: 0
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2.
Fuzzy soft set theory with applications in hyper BCK-algebras
Hashem Bordbar, Mohammad Rahim Bordbar, Seok-zun Song, Young Bae Jun, 2020, original scientific article

Abstract: In the paper [P.K. Maji, R. Biswas, A.R. Roy, Fuzzy soft sets, J. Fuzzy Math. 9 (3) (2001) 589–602], 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. The aim of this paper is to apply a fuzzy soft set for dealing with several kinds of theories in hyper BCK-algebras. The notions of fuzzy soft hyper BCK-ideal, fuzzy soft weak hyper BCK-ideal, fuzzy soft s-weak hyper BCK-ideal, and fuzzy soft strong hyper BCK-ideal are introduced, and related properties and relations are investigated.
Keywords: fuzzy soft hyper BCK-ideal, fuzzy soft weak hyper BCK-ideal, fuzzy soft s-weak hyper BCK-ideal, fuzzy soft strong hyper BCK-ideal
Published in RUNG: 24.02.2020; Views: 2689; Downloads: 0
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