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1.
A Generalization of Semidetached Subalgebras in BCK∕BCI-algebras
Young Bae Jun, Mohammad Rahim Bordbar, Hashem Bordbar, 2019, izvirni znanstveni članek

Opis: Generalization of the paper [Y. B. Jun and S. Z. Song, Semidetached subalgebras in BCK∕BCI-algebras, to appear in Bulletin of the Korean Mathematical Society] is discussed. Several conditions for a semidetached structure in BCK∕BCI-algebras to be a semidetached subalgebra are provided. The concepts of (∈¯,∈¯∨qk¯)-fuzzy subalgebra, k-left (k-right) (qk,∈∨qk)-fuzzy subalgebra, (qk¯,∈¯∨qk¯)-fuzzy subalgebra and (∈¯∨qk¯,∈¯∨qk¯)-fuzzy subalgebra are introduced, and relative relations and properties are discussed.
Najdeno v: osebi
Ključne besede: ð2, 2_qkÞ-fuzzy subalgebra, k-left (k-right) ðqk, 2_qkÞ-fuzzy subalgebra, ð 2 _ qk, 2 _ qk Þ-fuzzy subalgebra, semidetached structure, semidetached subalgebra.
Objavljeno: 02.12.2019; Ogledov: 898; Prenosov: 0
.pdf Polno besedilo (190,65 KB)

2.
Fuzzy soft set theory with applications in hyper BCK-algebras
Hashem Bordbar, Mohammad Rahim Bordbar, Seok-zun Song, Young Bae Jun, 2020, izvirni znanstveni članek

Opis: 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.
Najdeno v: osebi
Ključne besede: fuzzy soft hyper BCK-ideal, fuzzy soft weak hyper BCK-ideal, fuzzy soft s-weak hyper BCK-ideal, fuzzy soft strong hyper BCK-ideal
Objavljeno: 24.02.2020; Ogledov: 935; Prenosov: 0
.pdf Polno besedilo (108,62 KB)

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