Results 61 to 70 of about 79,106 (154)
SB-neutrosophic structures in BCK/BCI-algebras [PDF]
Journal of Hyperstructures, 2023 This article presents the novel set termed SB - neutro-sophic set (SB-NSS), which extends the concept of the Neutrosophic set (NSS). We illustrate its fundamental operations with examples.This concept of SB-NSSs is appliedto BCK/BCI-algebras, and we ...
Bavanari Satyanarayana +2 more
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Smarandache fantastic ideals of Smarandache BCI-algebras [PDF]
, 2006 The notion of Smarandache fantastic ideals is introduced, examples are given, and related properties are investigated. Relations among Q-Smarandache fresh ideals, Q-Smarandache clean ideals and Q-Smarandache fantastic ideals are given. A characterization
Jun, Y.B.
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Selected Properties of Some Generalizations of BCK Algebras
Discussiones Mathematicae - General Algebra and Applications, 2020 The notion of a RM algebra, introduced recently, is a generalization of many other algebras of logic. The class of RM algebras contains (weak-)BCC algebras, BCH algebras, BCI algebras, BCK algebras and many others. A RM algebra is an algebra A = (A; →, 1)
Dymek Grzegorz
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Commutative Ideals of BCI-Algebras Using MBJ-Neutrosophic Structures
Mathematics, 2021 As a generalization of a neutrosophic set, the notion of MBJ-neutrosophic sets is introduced by Mohseni Takallo, Borzooei and Jun, and it is applied to BCK/BCI-algebras.
Seok-Zun Song +2 more
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Opuscula Mathematica, 2009 In this note, by using the concept of vague sets, the notion of vague \(BCK/BCI\)-algebra is introduced. And the notions of \(\alpha\)-cut and vague-cut are introduced and the relationships between these notions and crisp subalgebras are studied.
Arsham Borumand Saeid
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Engel, Nilpotent and Solvable BCI-algebras
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2019 In this paper, we define the concepts of Engel, nilpotent and solvable BCI-algebras and investigate some of their properties. Specially, we prove that any BCK-algebra is a 2-Engel.
Mohammadzadeh Elahe, Borzooei Rajab Ali
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A Novel Extension of Neutrosophic Sets and Its Application in BCK/BCI-Algebras
, 2018 Generalized neutrosophic set is introduced, and applied it to BCK/BCI-algebras. The notions of generalized neutrosophic subalgebras and generalized neutrosophic ideals in BCK/BCI-algebras are introduced, and related properties are ...
Florentin Smarandache (4496650) +7 more
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Pseudo-Valuations on UP-Algebras
Universal Journal of Mathematics and Applications, 2019 Looking at pseudo-valuations on some classes of abstract algebras, such as BCK, BCI, BCC and KU, in this article we introduce the concept of pseudo-valuations on UP-algebras and analyze the relationship of these mappings with UP-substructures.
Daniel A. Romano
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Generalizations of Neutrosophic Subalgebras in BCK/BCI-Algebras Based on Neutrosophic Points [PDF]
Neutrosophic Sets and Systems, 2018 Saeid and Jun introduced the notion of neutrosophic points, and studied neutrosophic subalgebras of several types in BCK/BCI-algebras by using the notion of neutrosophic points.
Seon Jeong Kim +2 more
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Makgeolli Structures and Its Application in BCK/BCI-Algebras
Mathematics, 2019 A fuzzy set is an extension of an existing set using fuzzy logic. Soft set theory is a generalization of fuzzy set theory. Fuzzy and soft set theory are good mathematical tools for dealing with uncertainty in a parametric manner.
Sun Shin Ahn +3 more
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