31. Neutrosophic falling shadows applied to subalgebras and ideals in BCK/BCI-algebrasHashem Bordbar, Florentin Smarandache, Young Bae Jun, 2018, izvirni znanstveni članek Opis: As a combination of neutrosophic set and falling shadow, neutrosophic falling shadow is introduced, and applied to BCK/BCI- algebras. Falling neutrosophic subalgebra and falling neutrosophic ideal in BCK/BCI-algebras are introduced, and related properties are investi- gated. Relations between falling neutrosophic subalgebra and falling neu- trosophic ideal are discussed. A characterization of falling neutrosophic ideal is established.
Najdeno v: osebi
Ključne besede: (∈, ∈)-neutrosophic subalgebra, (∈, ∈)-neutrosophic ideal, Neutro- sophic random set, Neutrosophic falling shadow, Falling neutrosophic subalgebra, Falling neutrosophic ideal.
Objavljeno: 02.12.2019; Ogledov: 1840; Prenosov: 0
 Polno besedilo (324,41 KB) |
32. Neutrosophic Permeable Values and Energetic Subsets with Applications in BCK/BCI-AlgebrasHashem Bordbar, Young Bae Jun, Florentin Smarandache, Seok Zun Song, 2018, izvirni znanstveni članek Opis: The concept of a (∈, ∈)-neutrosophic ideal is introduced, and its characterizations are established. The notions of neutrosophic permeable values are introduced, and related properties are investigated. Conditions for the neutrosophic level sets to be energetic, right stable, and right vanished are discussed. Relations between neutrosophic permeable S- and I-values are considered.
Najdeno v: osebi
Ključne besede: (∈, ∈)-neutrosophic subalgebra, (∈, ∈)-neutrosophic ideal, neutrosophic (anti-)permeable S-value, neutrosophic (anti-)permeable I-value, S-energetic set, I-energetic set
Objavljeno: 02.12.2019; Ogledov: 1998; Prenosov: 0
Polno besedilo (297,13 KB) |
33. IDEALS OF IS-ALGEBRAS BASED ON N-STRUCTURESHashem Bordbar, Mohammad Mehdi Zahedi, Young Bae Jun, 2018, izvirni znanstveni članek Opis: The notion of a left (resp., right) NI-ideal is introduced, and related properties are investigated. Characterizations of a left (resp., right) NI-ideal are considered. Translations of a left (resp., right) NI-ideal are studied. We show that the homomorphic image (preimage) of a left (resp., right) NI-ideal is a left (resp., right) NI-ideal. The notion of retrenched left (resp., right) NI-ideals is introduced, and their properties are investigated.
Najdeno v: osebi
Ključne besede: Left (resp., right) NI-ideal, translation, closed support, retrenched left (resp., right) NI-ideal.
Objavljeno: 02.12.2019; Ogledov: 1904; Prenosov: 0
Polno besedilo (118,91 KB) |
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36. WEAK CLOSURE OPERATIONS WITH SPECIAL TYPES IN LOWER BCK-SEMILATTICESHashem Bordbar, Young Bae Jun, 2017, izvirni znanstveni članek Opis: The notions of (strong) quasi prime mapping on the set of all ideals, t- type weak closure operation, and tender (resp., naive, sheer, feeble tender) weak closure operation are introduced, and their relations and properties are investigated. Conditions for a weak closure operation to be of t-type are provided. Given a weak closure operation, conditions for the new weak closure operation to be of t-type and to be a naive (sheer, feeble tender) weak closure operation are considered. We show that the new weak closure operation is the smallest tender weak closure operation containing the given weak closure operation.
Najdeno v: osebi
Ključne besede: (strong) quasi prime mapping, t-type weak closure operation, naive (sheer, tender, feeble tender) weak closure operation.
Objavljeno: 02.12.2019; Ogledov: 2129; Prenosov: 0
Polno besedilo (85,80 KB) |
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38. BMBJ-neutrosophic subalgebra in BCI/BCK-algebrasHashem Bordbar, 2020, izvirni znanstveni članek Opis: For the first time, Smarandache introduced neutrosophic sets which can be used as a mathematical tool for dealing with indeterminate and inconsistent information. the notion of BMBJ-neutrosophic set and subalgebra, as a generalization of a neutrosophic set, is introduced, and it’s an application to BCI/BCK-algebras is investigated. The concept of BMBJ-neutrosophic subalgebras in BCI/BCK-algebras is introduced, and related properties are investigated. New BMBJ-neutrosophic subalgebra is established by using a BMBJ-neutrosophic subalgebra of a BCI/BCK-algebra. Also, a homomorphic (inverse) image of BMBJ-neutrosophic subalgebra and translation of BMBJ-neutrosophic subalgebra is investigated. In the end, we provided conditions for a BMBJ-neutrosophic set to be a BMBJ-neutrosophic subalgebra.
Najdeno v: osebi
Ključne besede: BMBJ-neutrosophic set, BMBJ-neutrosophic subalgebra, BMBJ-neutrosophic S-extension.
Objavljeno: 24.02.2020; Ogledov: 1902; Prenosov: 0
Polno besedilo (251,21 KB) |
39. Fuzzy soft set theory with applications in hyper BCK-algebrasHashem 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: 2033; Prenosov: 0
Polno besedilo (108,62 KB) |
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