Results 1 to 10 of about 210 (171)
Q-fuzzy structure on JU-algebra [version 1; peer review: 1 approved, 2 approved with reservations] [PDF]
F1000ResearchBackground JU-algebras, an important class in abstract algebra, are extended here by incorporating fuzzy set theory to handle uncertainty in algebraic structures.
Birhanu Assaye Alaba +2 more
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Fuzzy Set Theory Applied on Autometrized Algebra [version 1; peer review: 2 approved, 1 approved with reservations] [PDF]
F1000ResearchThis paper introduces fuzzy subalgebras of autometrized algebras and studies their properties. Also, we present fuzzy ideals of autometrized algebras and provide examples to illustrate our findings. We examine the homomorphisms of both the images and the
Gebrie Yeshiwas Tilahun
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T-Fuzzy Structure on JU-Algebra [version 1; peer review: 3 approved] [PDF]
F1000ResearchIntroduction This study explored the application of T-norms in fuzzy algebra, specifically by examining JU-subalgebras and JU-ideals derived from crisp JU-algebras. We investigated the properties of the T-fuzzy structures within this algebraic framework.
Selamawit Hunie Gelaw +2 more
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Some Results of Fermatean Fuzzy Set on Subalgebras and Ideals of Bn-Algebras [version 2; peer review: 2 approved] [PDF]
F1000ResearchBackground Classical fuzzy sets have been generalized to better model uncertainty, leading to developments such as intuitionistic, Pythagorean, and Fermatean fuzzy sets.
Derebew Derso +2 more
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Cubic Subalgebras and Cubic Closed Ideals of B-algebras
Fuzzy Information and Engineering, 2015 In this paper, the concept of cubic set to subalgebras, ideals and closed ideals of B-algebras are introduced. Relations among cubic subalgebras with cubic ideals and cubic closed ideals of B-algebras investigated. The homomorphic image and inverse image
Madhumangal Pal +2 more
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Soft Translations and Soft Extensions of BCI/BCK-Algebras [PDF]
The Scientific World Journal, 2014 The concept of soft translations of soft subalgebras and soft ideals over BCI/BCK-algebras is introduced and some related properties are studied. Notions of Soft extensions of soft subalgebras and soft ideals over BCI/BCK-algebras are also initiated ...
Nazra Sultana +3 more
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On m-Closure of Ideals in LBI-Subalgebras
Bulletin of the Iranian Mathematical SocietyA subalgebra \(A(X)\) of \(C(X)\), the ring of all continuous real-valued functions on a completely regular Hausdorff space \(X\), is said to be closed under local bounded inversion, briefly an \(LBI\)-subalgebra, if for every function \(f\) in \(A(X)\) that is bounded away from zero on a cozero-set \(E\) of \(X\), there exists \(g\in A(X)\) such that \
Mehdi Parsinia
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The Leibniz algebras whose subalgebras are ideals
Open Mathematics, 2017 Abstract In this paper we obtain the description of the Leibniz algebras whose subalgebras are ideals.
Igor Subbotin +2 more
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Hesitant Fuzzy Soft Subalgebras and Ideals in BCK/BCI-Algebras [PDF]
The Scientific World Journal, 2014 As a link between classical soft sets and hesitant fuzzy sets, the notion of hesitant fuzzy soft sets is introduced and applied to a decision making problem in the papers by Babitha and John (2013) and Wang et al. (2014).
Young Bae Jun +2 more
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Abelian ideals and the variety of Lagrangian subalgebras
Journal of Pure and Applied AlgebraFor a semisimple algebraic group $G$ of adjoint type with Lie algebra $\mathfrak g$ over the complex numbers, we establish a bijection between the set of closed orbits of the group $G \ltimes \mathfrak g^{\ast}$ acting on the variety of Lagrangian subalgebras of $\mathfrak g \ltimes \mathfrak g^{\ast}$ and the set of abelian ideals of a fixed Borel ...
Sam Evens, Yu Li
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