Results 71 to 80 of about 296 (172)
On the axioms system for BCI-algebras
Matematychni Studii, 1994 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Filters in Strong BI-Algebras and Residuated Pseudo-SBI-Algebras
Mathematics, 2020 The concept of basic implication algebra (BI-algebra) has been proposed to describe general non-classical implicative logics (such as associative or non-associative fuzzy logic, commutative or non-commutative fuzzy logic, quantum logic).
Xiaohong Zhang, Xiangyu Ma, Xuejiao Wang
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On branchwise implicative BCI‐algebras
International Journal of Mathematics and Mathematical Sciences, 2002 We introduce a new class of BCI‐algebras, namely the class of branchwise implicative BCI‐algebras. This class contains the class of implicative BCK‐algebras, the class of weakly implicative BCI‐algebras (Chaudhry, 1990), and the class of medial BCI‐algebras.
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Proyecciones (Antofagasta), 2018 In (2] the notion of nil radical in BCI-algebras was introduced and various properties are developed in [3]. Further, several results on nil ideals were obtained in [4] and [5]. The aim of this paper is to study and investigate some properties of k*- radicals in BCI-algebras. The notion of k*- semiprime ideal is introduced.
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Interval Neutrosophic Sets with Applications in BCK/BCI-Algebra
Axioms, 2018 For i , j , k , l , m , n ∈ { 1 , 2 , 3 , 4 } , the notion of ( T ( i , j ) , I ( k , l ) , F ( m , n ) ) -interval neutrosophic subalgebra in B C K / B C I -algebra is introduced, and their properties and relations are investigated.
Young Bae Jun +2 more
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Retracted: More General Form of Interval‐Valued Fuzzy Ideals of BCK/BCI‐Algebras
Security and Communication Networks, Volume 2024, Issue 1, 2024.
Security and Communication Networks
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Deductive systems of pseudo-M algebras
Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica, 2022 The class of pseudo-M algebras contains pseudo-BCK, pseudo-BCI, pseudo-BCH, pseudo-BE, pseudo-CI algebras and many other algebras of logic. In this paper, the notion of deductive system in a pseudo-M algebra is introduced and its elementary properties ...
Andrzej Walendziak
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The p-semisimple property for some generalizations of BCI algebras and its applications
Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica, 2020 This paper presents some generalizations of BCI algebras (the RM, tRM, *RM, RM**, *RM**, aRM**, *aRM**, BCH**, BZ, pre-BZ and pre-BCI algebras). We investigate the p-semisimple property for algebras mentioned above; give some examples and display various
Lidia Obojska, Andrzej Walendziak
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IRREDUCIBLE IDEALS IN BCI-ALGEBRAS
Demonstratio Mathematica, 2004 A proper ideal \(P\) of a BCI-algebra \(X\) is called irreducible if for any ideals \(A\) and \(B\) of \(X\), \(A\cap B=P\) implies \(A=P\) or \(B=P\). An irreducible ideal \(P\) containing an ideal \(A\) is {minimal for} \(A\) if for any irreducible ideal \(Q\) of \(X\), \(A\subseteq Q\subseteq P\) implies \(P=Q.\) Properties of such ideals are ...
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A New Approach of Complex Fuzzy Ideals in BCK/BCI-Algebras
MathematicsThe concept of complex fuzzy sets, where the unit disk of the complex plane acts as the codomain of the membership function, as an extension of fuzzy sets. The objective of this article is to use complex fuzzy sets in BCK/BCI-algebras.
Manivannan Balamurugan +3 more
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