Results 31 to 40 of about 176 (149)
On State Ideals and State Relative Annihilators in De Morgan State Residuated Lattices
International Journal of Mathematics and Mathematical Sciences, Volume 2022, Issue 1, 2022., 2022 The concept of state has been considered in commutative and noncommutative logical systems, and their properties are at the center for the development of an algebraic investigation of probabilistic models for those algebras. This article mainly focuses on the study of the lattice of state ideals in De Morgan state residuated lattices (DMSRLs).
Francis Woumfo +4 more
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Graph based on residuated lattices [PDF]
Journal of Hyperstructures, 2014 In this paper, the residuated graph of residuated lattices will be studied. To do so, the notion of zero divisors of a nonempty subset of a residuated lattice is first introduced and some related properties are investigated.
L. Torkzadeh, A. Ahadpanh, M. Behzadi
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Journal of Mathematics, Volume 2022, Issue 1, 2022., 2022 The main goal of this paper is to introduce and investigate the related theory on monadic effect algebras. First, we design the axiomatic system of existential quantifiers on effect algebras and then use it to give the definition of the universal quantifier and monadic effect algebras.
Yuxi Zou, Xiaolong Xin, Li Guo
wiley +1 more source
Gődel filters in residuated lattices
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2021 In this paper, in the spirit of [4], we study a new type of filters in residuated lattices : Gődel filters. So, we characterize the filters for which the quotient algebra that is constructed via these filters is a Gődel algebra and we establish the ...
Piciu Dana +2 more
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ℒ‐Fuzzy Cosets of ℒ‐Fuzzy Filters of Residuated Multilattices
International Journal of Mathematics and Mathematical Sciences, Volume 2022, Issue 1, 2022., 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. Then, we highlight their properties and show how they are linked.
Pierre Carole Kengne +4 more
wiley +1 more source
n-Normal residuated lattices [PDF]
Soft Computing, 2019 The notion of $n$-normal residuated lattice, as a class of residuated lattices in which every prime filter contains at most $n$ minimal prime filters, is introduced and studied. Before that, the notion of $ω$-filter is introduced and it is observed that the set of $ω$-filters in a residuated lattice forms a distributive lattice on its own, which ...
Saeed Rasouli, Michiro Kondo
openaire +3 more sources
New topology in residuated lattices
Open Mathematics, 2018 In this paper, by using the notion of upsets in residuated lattices and defining the operator Da(X), for an upset X of a residuated lattice L we construct a new topology denoted by τa and (L, τa) becomes a topological space.
Holdon L.C.
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Remarks on an algebraic semantics for paraconsistent Nelson's logic
Manuscrito, 2011 In the paper Busaniche and Cignoli (2009) we presented a quasivariety of commutative residuated lattices, called NPc-lattices, that serves as an algebraic semantics for paraconsistent Nelson's logic.
Manuela Busaniche, Roberto Cignoli
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Fuzzy Prime Ideal Theorem in Residuated Lattices
International Journal of Mathematics and Mathematical Sciences, 2021 This paper mainly focuses on building the fuzzy prime ideal theorem of residuated lattices. Firstly, we introduce the notion of fuzzy ideal generated by a fuzzy subset of a residuated lattice and we give a characterization.
Pierre Carole Kengne +2 more
doaj +1 more source
Residuated skew lattices with modal operator
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2023 In this paper, we define modal operators in residuated skew lattices and prove some fundamental properties of monotone modal operators on residuated skew lattices (RSL). We prove that the composition of two modal operators is a modal operator if and only
Koohnavard Roghayeh +1 more
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