Results 21 to 30 of about 190 (76)
, 2023 We introduce and characterize various gluing constructions for residuated lattices that intersect on a common subreduct, and which are subalgebras, or appropriate subreducts, of the resulting structure. Starting from the 1-sum construction (also known as
Galatos, Nick, Ugolini, Sara
core +1 more source
Residuation in orthomodular lattices
Topological Algebra and its Applications, 2017 We show that every idempotent weakly divisible residuated lattice satisfying the double negation law can be transformed into an orthomodular lattice. The converse holds if adjointness is replaced by conditional adjointness.
Chajda Ivan, Länger Helmut
doaj +1 more source
Some decompositions of filters in residuated lattices
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2019 In this paper we introduce a new class of residuated lattice: residuated lattice with (C∧&→) property and we prove that (C∧&→) ⇔ (C→) + (C∧).Also, we introduce and characterize C→, C∨, C∧ and C∧ & → filters in residuated lattices (i.e., we characterize ...
Piciu Dana +2 more
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A T-partial order obtained from T-norms [PDF]
, 2011 summary:A partial order on a bounded lattice $L$ is called t-order if it is defined by means of the t-norm on $L$. It is obtained that for a t-norm on a bounded lattice $L$ the relation $a\preceq_{T}b$ iff $a=T(x,b)$ for some $x\in L$ is a partial order.
Karaçal, Funda, Kesicioğlu, M. Nesibe
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An investigation on the $n$-fold IVRL-filters in triangle algebras [PDF]
, 2020 summary:The present study aimed to introduce $n$-fold interval valued residuated lattice (IVRL for short) filters in triangle algebras. Initially, the notions of $n$-fold (positive) implicative IVRL-extended filters and $n$-fold (positive) implicative ...
Borumand Saeid, Arsham, Zahiri, Saeide
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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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Fuzzy decision implications: interpretation within fuzzy decision context
CAAI Transactions on Intelligence Technology, Volume 4, Issue 4, Page 231-236, December 2019., 2019 Fuzzy decision implication is an extension of decision implication in the fuzzy setting, serving to uncover the dependencies of fuzzy attributes. This study presents the interpretation of fuzzy decision implication in the fuzzy decision context. Specially, they will show that from fuzzy decision contexts one can obtain a closed fuzzy set of fuzzy ...
Jing Zhang, Yanhui Zhai, Deyu Li
wiley +1 more source
Complexity, Volume 2017, Issue 1, 2017., 2017 Rough set theory has been used extensively in fields of complexity, cognitive sciences, and artificial intelligence, especially in numerous fields such as expert systems, knowledge discovery, information system, inductive reasoning, intelligent systems, data mining, pattern recognition, decision‐making, and machine learning.
Abbas Mardani +6 more
wiley +1 more source
Residuated Structures Derived from Commutative Idempotent Semirings
Discussiones Mathematicae - General Algebra and Applications, 2019 Since the reduct of every residuated lattice is a semiring, we can ask under what condition a semiring can be converted into a residuated lattice. It turns out that this is possible if the semiring in question is commutative, idempotent, G-simple and ...
Chajda Ivan, Länger Helmut
doaj +1 more source
The Lattice Structure of L‐Contact Relations
Advances in Fuzzy Systems, Volume 2016, Issue 1, 2016., 2016 From the point of view of graded truth approach, we define the notion of a contact relation on the collection of all L‐sets, discuss the connection to the set of all close, reflexive, and symmetric relations on all L‐ultrafilters on X, and investigate the algebraic structure of all L‐contact relations.
Xueyou Chen, Rustom M. Mamlook
wiley +1 more source