Results 41 to 50 of about 71 (70)
On Intuitionistic Fuzzy Translation and Multiplication of PMS‐Ideals in PMS‐Algebras
International Journal of Mathematics and Mathematical Sciences, Volume 2025, Issue 1, 2025.In this manuscript, we explore the application of intuitionistic fuzzy translations and intuitionistic fuzzy multiplication of intuitionistic fuzzy sets to PMS‐algebras and examine various related properties. We analyze the relationships between an intuitionistic fuzzy PMS‐ideal A of a PMS‐algebra and its corresponding intuitionistic fuzzy ω ...
Beza Lamesgin Derseh, Abdul Rauf Khan
wiley +1 more source
On imaginable T‐fuzzy subalgebras and imaginable T‐fuzzy closed ideals in BCH‐algebras
International Journal of Mathematics and Mathematical Sciences, Volume 27, Issue 5, Page 269-287, 2001., 2001 We inquire further into the properties on fuzzy closed ideals. We give a characterization of a fuzzy closed ideal using its level set, and establish some conditions for a fuzzy set to be a fuzzy closed ideal. We describe the fuzzy closed ideal generated by a fuzzy set, and give a characterization of a finite‐valued fuzzy closed ideal. Using a t‐norm T,
Young Bae Jun, Sung Min Hong
wiley +1 more source
© Hindawi Publishing Corp. ON THE CLASS OF QS-ALGEBRAS [PDF]
, 2003 We consider some fundamental properties of QS-algebras and show that (1) the theory of QS-algebras is logically equivalent to the theory of Abelian groups, that is, each theorem of QS-algebras is provable in the theory of Abelian groups, and conversely ...
Michiro Kondo
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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
doaj +1 more source
Pre-semihyperadditive Categories
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2019 In this paper we extend the notion of classical (pre-)semiadditive category to (pre-)semihyperadditive category. Algebraic hyperstructures are algebraic systems whose objects possessing the hyperoperations or multi-valued operation.
Shojaei H. +2 more
doaj +1 more source
, 2015 As a generalization of BCH-algebras, the notion of pseudo BHalgebra is introduced, and some of their properties are investigated. The notions of pseudo subalgebra, pseudo ideals, and pseudo atoms in pseudo BCH-algebras are introduced.
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, 2011 In this manuscript, we introduce a BCK-algebra, and show that this BCK-algebra is commutative, with the relative cancellation property, lower semi lattice and also it's with condition (S) but it's not positive implicative in some cases. Also we
Leila N Ranjbar +3 more
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Distributive implication groupoids
Open Mathematics, 2007 Chajda Ivan, Halaš Radomir
doaj +1 more source
Representation and duality for Hilbert algebras
Open Mathematics, 2009 Celani Sergio +2 more
doaj +1 more source