Results 121 to 130 of about 200 (159)

Topological residuated lattices

Soft Computing, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Saeed Rasouli, Amin Dehghani
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Residuated skew lattices

Information Sciences, 2018
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Yuan Zhi, Xiangnan Zhou, Qingguo Li
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On state residuated lattices

Soft Computing, 2015
The authors have adapted the notion of state operator to residuated lattices, and describe elementeray properties of these operators, state residuated lattices, and state filters on them. State filters are studied more thoroughly. It is shown that state filters of a state residuated lattice \((L,\tau)\) with a state operator \(\tau\) form a coherent ...
Pengfei He 0001, Xiaolong Xin 0001, Yongwei Yang 0001   +2 more
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Compatible Operations on Residuated Lattices

Studia Logica, 2011
The authors adopt a definition for residuated lattices in which the lattice reduct is not necessarily bounded, commutativity is not assumed either, and both the left and right residua are present. An operation \(f\) on a set \(L\) endowed with an algebraic structure is said to be compatible iff every congruence of the algebra \(L\) is also a congruence
José L. Castiglioni, Hernán Javier San Martín   +1 more
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Monadic Bounded Residuated Lattices

Order, 2011
Algebraic counterparts of the existential and universal quantifiers have been frequently studied for certain nonclassical logics. Monadic Boolean algebras, monadic MV-algebras, monadic Heyting algebras and monadic R\(\ell\)-monoids have been defined and studied.
Jirí Rachunek, Dana Salounová
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Roughness in Residuated Lattices

2012
Commutative bounded integral residuated lattices (= residuated lattices) form a large class of algebras containing among others several classes of algebras of fuzzy logics which are related to reasoning under uncertainty. The paper investigates approximation spaces in residuated lattices based on their filters.
Jirí Rachunek, Dana Salounová
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Prime Filters on Residuated Lattices

2012 IEEE 42nd International Symposium on Multiple-Valued Logic, 2012
In this short paper we give an affirmative answer to the problem left open in \cite{IEEE how to: GDCK}, that is, for any residuated lattice $L$, if prime filters and prime filters of the second kind coincide, then $L$ must be an MTL-algebra.
Michiro Kondo, Esko Turunen
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THE STRUCTURE OF COMMUTATIVE RESIDUATED LATTICES

International Journal of Algebra and Computation, 2002
A commutative residuated lattice, is an ordered algebraic structure [Formula: see text], where (L, ·, e) is a commutative monoid, (L, ∧, ∨) is a lattice, and the operation → satisfies the equivalences [Formula: see text] for a, b, c ∊ L. The class of all commutative residuated lattices, denoted by [Formula: see text], is a finitely based variety of ...
James B. Hart, Lori Rafter, Constantine Tsinakis   +2 more
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Nodal filters in Residuated Lattices

Journal of Intelligent & Fuzzy Systems, 2016
In this paper, we introduce the notion of a nodal filter in residuated lattices. We give several characterizations of these filters and also some relationships between these filters and other types of filters are obtained, as well. Finally, we prove that the class of all nodal filters of a residuated lattice forms a Heyting algebra.
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The stable topology for residuated lattices

Soft Computing, 2012
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Catalin Busneag, Dana Piciu
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