Results 81 to 90 of about 264 (168)
Finite models for positive combinatorial and exponential algebra
Bulletin of the London Mathematical Society, Volume 57, Issue 11, Page 3380-3400, November 2025.Abstract We use high girth, high chromatic number hypergraphs to show that there are finite models of the equational theory of the semiring of non‐negative integers whose equational theory has no finite axiomatisation, and show this also holds if factorial, fixed base exponentiation and operations for binomial coefficients are adjoined.
Tumadhir Alsulami, Marcel Jackson
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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
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Bipolar Fuzzy Hilbert Algebras [PDF]
The notions of bipolar fuzzy subalgebras and bipolar fuzzy ideals of Hilbert algebras are introduced and studied in this work.There are given relationships between a bipolar fuzzy subalgebra and a bipolar fuzzy ideal.The characterizations of a bipolar ...
Iampan, Aiyared +2 more
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Studying the Theory of Hoops Through Some Type of Filters
Journal of Applied Mathematics, Volume 2025, Issue 1, 2025.It is known that the class of hoops is ideally determined, in the sense that every filter of any hoop H is a 1‐class of a unique congruence relation on H. This confirms that every filter in a hoop determines one and only one quotient structure. So, given a hoop H and a filter π of H, it is natural to question ourselves what should be the defining ...
Gezahagne Mulat Addis +2 more
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Complex Fuzzy Sets with Application in BCK/BCI-Algebras [PDF]
, 2019 As a generation of fuzzy set, the notion of complex fuzzy set which is an innovative concept is introduced by Ramot, Milo, Friedman and Kandel. The purpose of this article is to apply complex fuzzy set to BCK/BCI-algebras.
Xin, Xiao Long, Jun, Young Bae
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Fortschritte der Physik, Volume 72, Issue 9-10, October 2024.Abstract In the present work, an extended description of the covariant noncommutative space is presented, which accommodates the Fuzzy Gravity model constructed previously. It is based on the historical lesson that the use of larger algebras containing all generators of the isometry of the continuous one helped in formulating a fuzzy covariant ...
Danai Roumelioti +2 more
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Subalgebras of Sheffer Stroke BCK-Algebras Illuminated by the New Fuzzy Set Environment [PDF]
For the purpose of dealing with the subalgebras of Sheer stroke BCK-algebras associated with the Y-J(& rhov;)-fuzzy set, the concept of Y-J(& rhov;)-fuzzy subalgebras in Sheffer stroke BCK-algebras is introduced and the properties involved are ...
Jun, Young Bae +2 more
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Fuzzy Subalgebras And Fuzzy Ideals Of Bci-Algebras With Operators
, 2017 {"references": ["Y. Imai and K. Iseki, \"On axiom system of propositional calculus,\" Proc Aapan Academy, vol. 42, pp. 26-29, 1966.", "K. Iseki, \"On BCI-algebras,\" Math. Sem. Notes, vol. 8, pp.125-130, 1980.", "O.G. Xi, \"Fuzzy BCK-algebras,\" Math Japon, vol. 36, pp. 935-942, 1991.", "Y.B. Jun, S.M. Hong, J. Meng and X.L. Xin, \"Characterizations of
Hu, Yuli, Shaoquan Sun
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Neutrosophic Hesitant Fuzzy Subalgebras and Filters in Pseudo-BCI Algebras [PDF]
, 2018 The notions of the neutrosophic hesitant fuzzy subalgebra and neutrosophic hesitant fuzzy filter in pseudo-BCI algebras are introduced, and some properties and equivalent conditions areinvestigated.
Xiaohong Zhang +7 more
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Fuzzy Subalgebras and Fuzzy T-ieals in TM-Algebras [PDF]
Journal of Mathematics and Statistics, 2011 In this study, we introduce the concepts of fuzzy subalgebras and fuzzy ideals in TM-algebras and investigate some of its properties. Problem statement: Let X be a TM-algebra, S be a subalgebra of X and I be a T-ideal of X. Let μ and v be fuzzy sets in a TM-algebra X. Approach: Define the upper level subset μt of μ and the cartesian product of μ and
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