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The Prime Filter Theorem for Multilattices
International Journal of Mathematics and Mathematical Sciences, 2022 The aim of this paper is to establish the prime filter theorem for multilattices.
Daquin Cédric Awouafack +2 more
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Preventing DDoS using Bloom Filter: A Survey
EAI Endorsed Transactions on Scalable Information Systems, 2018 Distributed Denial-of-Service (DDoS) is a menace for service provider and prominent issue in network security. Defeating or defending the DDoS is a prime challenge. DDoS make a service unavailable for a certain time.
Ripon Patgiri +2 more
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Some properties of state filters in state residuated lattices [PDF]
Mathematica Bohemica, 2021 We consider properties of state filters of state residuated lattices and prove that for every state filter $F$ of a state residuated lattice $X$: \begin{itemize} \item[(1)] $F$ is obstinate $\Leftrightarrow$ $L/F \cong\{0,1\}$; \item[(2)] $F$ is primary $
Michiro Kondo
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Neutrosophic ℵ-filters in semigroups [PDF]
Neutrosophic Sets and Systems, 2022 Models of universe problems are brimming with complexities and uncertainties in almost every field of study, including engineering, mathematics, medical sciences, computer science, physics, management sciences, artificial intelligence, and operations ...
B. Elavarasan +3 more
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On the Lattice of Filters of Intuitionistic Linear Algebras [PDF]
Transactions on Fuzzy Sets and Systems, 2023 In this paper, we investigate the filter theory of Intuitionistic Linear Algebra (IL-algebra, in short) with emphasis on the lattice of filters of IL-algebras and relationship between filters and congruences on IL-algebras.
Tenkeu Yannick Lea, Cyrille Nganteu
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ℒ-Fuzzy Cosets of ℒ-Fuzzy Filters of Residuated Multilattices
International Journal of Mathematics and Mathematical Sciences, 2022 This paper mainly focuses on building the ℒ-fuzzy filter theory of residuated multilattices. Firstly, we introduce the concepts of ℒ-fuzzy filter and ℒ-fuzzy deductive system of residuated multilattices.
Pierre Carole Kengne +3 more
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(Skew) Filters in Residuated Skew Lattices [PDF]
Scientific Annals of Computer Science, 2018 In this paper, we show the relationship between (skew) deductive system and (skew) filter in residuated skew lattices. It is shown that if a residuated skew lattice is conormal, then any skew deductive system is a skew filter under a condition and ...
R. Koohnavard, A. Borumand Saeid
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Study hoop algebras by fuzzy (n-fold) obstinate filters
Topological Algebra and its Applications, 2023 In this article, we introduce the concept of fuzzy (n-fold) obstinate filter on hoop algebras and study some of the properties. We define and study fuzzy prime filter and fuzzy n-fold implicative filter on hoop algebras.
Namdar Ameneh, Saeid Arsham Borumand
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Spectra and reticulation of semihoops
Open Mathematics, 2022 In this article, we further study the filter theory of semihoops. Moreover, we use the prime (maximal) filters to construct the prime (maximal) spectrum on semihoops, and prove that the prime spectrum is a compact T0{T}_{0} topological space and that the
Tang Yu Jie, Xin Xiao Long, Zhou Xin
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The Properties of Maximal Filters in Multilattices
Journal of Mathematics, 2022 Jacobson’s radical of a filter F is the intersection of all maximal filters containing F. We present several properties of maximal filters in multilattices.
Daquin Cédric Awouafack +1 more
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