Results 121 to 130 of about 662 (160)

Residuated skew lattices

Information Sciences, 2018
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Yuan Zhi, Qingguo Li
exaly   +3 more sources

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 Luis Castiglioni, Hernán J San Martín   +1 more
exaly   +3 more sources

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.
Jiří Rachůnek, Dana Šalounová, Rachůnek Jiří   +2 more
exaly   +2 more sources

On filter theory of residuated lattices

Information Sciences, 2010
The authors study filters, Boolean filters (implicative filters), G-filters (positive implicative filters), MV-filters (fantastic filters) and also the corresponding fuzzy filters, fuzzy Boolean filters (fuzzy implicative filters), fuzzy G-filters (fuzzy positive implicative filters), fuzzy MV-filters (fuzzy fantastic filters) of a residuated lattice ...
Yiquan Zhu, Yang Xu 0001
exaly   +3 more sources

On ideals of residuated lattices

Journal of Intelligent & Fuzzy Systems, 2021
In this paper, we first point out some mistakes in [12]. Especially the Theorem 3.9 [12] showed that: Let A be residuated lattice and ∅ ≠ X ⊆ A, then the least ideal containing X can be expressed as: 〈X〉 = {a ∈ A|a ≤ (·· · ((x1 ⊕ x2) ⊕ x3) ⊕ ·· ·) ⊕ xn, xi ∈ X, i = 1, 2 ·· · , n}. But we present an example to illustrate the ideal generation formula may
Yan Yan Dong, Jun Tao Wang 0001
openaire   +1 more source

Rickart residuated lattices

Soft Computing, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Topological residuated lattices

Soft Computing, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Saeed Rasouli, Amin Dehghani
openaire   +1 more source

Skew residuated lattices

Fuzzy Sets and Systems, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ivan Chajda, Jan Krnávek
openaire   +1 more source

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
openaire   +2 more sources

Residuated lattices and lattice effect algebras

Fuzzy Sets and Systems, 2007
The authors study two partial operations in effect algebras, namely \(a \odot b = (a' \oplus b')'\) if \(a' \oplus b'\) is defined and \(a \to_p b = a' \oplus b\) if \(a' \oplus b\) is defined. They show, e.g., that for an effect algebra \((E, \oplus, 0, 1)\) we obtain a (dual) effect algebra \((E, \odot,0,1)\). Using these operations they construct an
Xiang-Nan Zhou, Qingguo Li, Guo-Jun Wang
openaire   +2 more sources