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1.
Soft subalgebras and ideals of BCK/BCI-algebras based on N -structures
Elhan Hassani Sadrabadi, Hashem Bordbar, Rajab Ali Borzooei, Arsham Borumand Saeid, Young Bae Jun, 2021, izvirni znanstveni članek

Ključne besede: N-ideal of types, soft N-subalgebra, soft N-ideal
Objavljeno v RUNG: 23.08.2021; Ogledov: 1972; Prenosov: 0
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2.
UNI-SOFT IDEALS IN CORESIDUATED LATTICES
Hashem Bordbar, 2018, izvirni znanstveni članek

Opis: The notion of the uni-soft idea is introduced, and related properties are investigated. Characterizations of the uni-soft ideal are discussed. The transfer of uni-soft ideal is considered, and relations between the uni-soft ideal and its transfer are investigated. Given a soft set, conditions for the transfer of soft set to be a uni-soft ideal.
Ključne besede: Coresiduated lattice, uni-soft ideal, transfer, support.
Objavljeno v RUNG: 15.10.2020; Ogledov: 2676; Prenosov: 0
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3.
Double-framed soft set theory applied to hyper BCK-algebras
Hashem Bordbar, 2020, izvirni znanstveni članek

Opis: The notions of double-framed soft hyper BCK-algebra and double-framed soft (strong) hyper BCK-ideal of a hyper BCK-algebra are introduced, and related properties are investigated. Characterizations of double-framed soft hyper BCK-algebra and double- framed soft hyper BCK-ideal are considered. Relations between double-framed soft hyper BCK-ideal and double-framed soft strong hyper BCK-ideal are discussed. Conditions for a double-framed soft set to be a double-framed soft strong hyper BCK-ideal are provided.
Ključne besede: double-framed soft hyper BCK-algebra, double-framed soft (strong) hyper BCK-ideal.
Objavljeno v RUNG: 31.08.2020; Ogledov: 2748; Prenosov: 0
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4.
Soft set theory and hypercompositional algebras
Hashem Bordbar, 2020, objavljeni povzetek znanstvenega prispevka na konferenci

Opis: 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.
Ključne besede: Soft set theory, Hyper BCK-algebra, Fuzzy soft set theory.
Objavljeno v RUNG: 08.07.2020; Ogledov: 2773; Prenosov: 0
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5.
6.
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.
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 v RUNG: 24.02.2020; Ogledov: 3048; Prenosov: 0
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7.
UNI-SOFT COMMUTATIVE IDEALS WITH THRESHOLDS IN BCK/BCI-ALGEBRAS
Hashem Bordbar, Seok Zun Song, Young Bae Jun, Kyoung Ja Lee, 2018, izvirni znanstveni članek

Opis: The notion of a uni-soft commutative ideal with thresholds is introduced, and related properties are investigated. Relations between a uni-soft ideal with thresholds and a uni-soft commutative ideal with thresholds are discussed. Conditions for a uni- soft ideal with thresholds to be a uni-soft commutative ideal with the same thresholds are provided. Characterizations of a uni-soft commutative ideal with thresholds are established.
Ključne besede: uni-soft ideal (with thresholds), uni-soft commutative ideal (with thresholds).
Objavljeno v RUNG: 02.12.2019; Ogledov: 3157; Prenosov: 0
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8.
INT-SOFT IDEALS OF PSEUDO M V -ALGEBRAS
Hashem Bordbar, Young Bae Jun, Seok Zun Song, 2018, izvirni znanstveni članek

Opis: The notion of (implicative) int-soft ideal in a pseudo MV -algebra is introduced, and related properties are investigated. Conditions for a soft set to be an int-soft ideal are provided. Characterizations of (implicative) int-soft ideal are considered. The extension property for implicative int-soft ideal is established.
Ključne besede: int-soft ideal, implicative int-soft ideal.
Objavljeno v RUNG: 02.12.2019; Ogledov: 2989; Prenosov: 0
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9.
Uni-Soft Commutative Ideals and Closed Uni-Soft Ideals in BCI-Algebras
Hashem Bordbar, Young Bae Jun, Rajab ali Borzooei, 2018, izvirni znanstveni članek

Opis: The notions of uni-soft commutative ideals and closed uni-soft ideals in BCI-algebras are introduced, and related properties are investigated. Conditions for a uni-soft ideal to be closed are provided. Relations between a uni-soft ideal and a uni-soft commutative ideal are investigated. Conditions for a uni-soft ideal to be a uni-soft commutative ideal are provided. A new uni-soft commutative ideal from an old one is constructed.
Ključne besede: Exclusive set, (closed) uni-soft ideal, uni-soft commutative ideal.
Objavljeno v RUNG: 01.12.2019; Ogledov: 3056; Prenosov: 0
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10.
Nazmul, Sk. (6-IEDW-M) ; Samanta, S. K. [Samanta, Syamal Kumar] (6-VBU) On soft multigroups. (English summary) Ann. Fuzzy Math. Inform. 10 (2015), no. 2, 271 -285
Irina Elena Cristea, 2016, recenzija, prikaz knjige, kritika

Ključne besede: soft multigroups
Objavljeno v RUNG: 19.08.2016; Ogledov: 4265; Prenosov: 0
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