Results 11 to 20 of about 176 (149)
Regular Partial Residuated Lattices and Their Filters
Mathematics, 2022 To express wider uncertainty, Běhounek and Daňková studied fuzzy partial logic and partial function. At the same time, Borzooei generalized t-norms and put forward the concept of partial t-norms when studying lattice valued quantum effect algebras. Based
Nan Sheng, Xiaohong Zhang
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Partial Residuated Implications Induced by Partial Triangular Norms and Partial Residuated Lattices
Axioms, 2023 This paper reveals some relations between fuzzy logic and quantum logic on partial residuated implications (PRIs) induced by partial t-norms as well as proposes partial residuated monoids (PRMs) and partial residuated lattices (PRLs) by defining partial ...
Xiaohong Zhang +2 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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Kites and residuated lattices [PDF]
Algebra universalis, 2018 We investigate a construction of an integral residuated lattice starting from an integral residuated lattice and two sets with an injective mapping from one set into the second one. The resulting algebra has a shape of a Chinese cascade kite, therefore, we call this algebra simply a kite.
Botur, Michal, Dvurečenskij, Anatolij
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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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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
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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
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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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