Results 21 to 30 of about 74,358 (176)
Normal filters in residuated lattices [PDF]
Le Matematiche, 2015 Residuated lattices play an important role in the study of fuzzy logic. In the present paper, we introduce the notion of a normal filter in a residuated lattice and give some characterizations of them.
Lida Torkzadeh, A. Ahadpanah
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Structure theorems for idempotent residuated lattices [PDF]
, 2020 In this paper we study structural properties of residuated lattices that are idempotent as monoids. We provide descriptions of the totally ordered members of this class and obtain counting theorems for the number of finite algebras in various subclasses.
Jipsen, Peter +3 more
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THE STRUCTURE OF RESIDUATED LATTICES [PDF]
International Journal of Algebra and Computation, 2003 A residuated lattice is an ordered algebraic structure [Formula: see text] such that <L,∧,∨> is a lattice, <L,·,e> is a monoid, and \ and / are binary operations for which the equivalences [Formula: see text] hold for all a,b,c ∈ L. It is helpful to think of the last two operations as left and right division and thus the equivalences can be
Kevin Blount, Constantine Tsinakis
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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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Unilinear Residuated Lattices [PDF]
, 2023 We characterize all residuated lattices that have height equal to 3 and show that the variety they generate has continuum-many subvarieties. More generally, we study unilinear residuated lattices: their lattice is a union of disjoint incomparable chains,
Zhuang, Xiao
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Quasicomplemented residuated lattices [PDF]
Soft Computing, 2020 In this paper, the class of quasicomplemented residuated lattices is introduced and investigated, as a subclass of residuated lattices in which any prime filter not containing any dense element is a minimal prime filter. The notion of disjunctive residuated lattices is introduced and it is observed that a residuated lattice is Boolean if and only if it
openaire +4 more sources
The prime state ideal theorem in state residuated lattices [PDF]
Categories and General Algebraic Structures with Applications, 2023 The aim of this paper is to establish the prime state ideal theorem in state residuated lattices (SRLs). We study the state ideals lattice $\mathcal{SI}(L)$ of astate residuated lattice $(L, \varphi)$ andprove that it is a complete Brouwerian lattice ...
Francis Woumfo +2 more
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Topologies on residuated lattices
Journal of Logic and Computation, 2022 Abstract The main aim of this paper is to investigate the topologies that constructed by some ideals on residuated lattices and some topologies which induced by lattice ideals and distance functions on involutive residuated lattices. To begin with, we present that prime $\oplus $-ideals and prime $\boxplus $-ideals are coincident on $MTL$
Wei Wang, Bin Zhao
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On the impact of sup‐compositions in the resolution of multi‐adjoint relation equations
Mathematical Methods in the Applied Sciences, Volume 46, Issue 14, Page 15581-15598, 30 September 2023., 2023 Multi‐adjoint relation equations are defined by means of a sup‐composition operator involving different conjunctions. Former works reveal that the resolution of a multi‐adjoint relation equation is closely related to such conjunctions. This paper presents a first approach on the study of the influence of the selection of a sup‐composition operator in ...
David Lobo +2 more
wiley +1 more source
On Subtractive Derivations of Rl‐Monoids
Mathematical Problems in Engineering, Volume 2023, Issue 1, 2023., 2023 This paper is intended to introduce the subtractive derivations and study some of their algebraic properties on Rl‐monoids. Also, we give some characterizations of subtractive derivations on the Gödel center. Moreover, Gödel algebras are characterized by a fixed set of subtractive derivations.
Yu Gao, Bingfang Li, Jun Tao Wang
wiley +1 more source