Results 141 to 150 of about 427,892 (185)
On Gelfand residuated lattices
Soft Computing, 2022 In this paper, a combination of algebraic and topological methods is applied to obtain new and structural results on Gelfand residuated lattices. It is demonstrated that Gelfand's residuated lattices strongly tied up with the hull-kernel topology ...
Saeed Rasouli, Amin Dehghani
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Residuated EQ-algebras may not be residuated lattices
Fuzzy Sets and Systems, 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On ideals of residuated lattices
Journal of Intelligent & Fuzzy Systems, 2021In 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
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Topological residuated lattices
Soft Computing, 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Saeed Rasouli, Amin Dehghani
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Fuzzy Sets and Systems, 2013
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Ivan Chajda, Jan Krnávek
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Ivan Chajda, Jan Krnávek
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Information Sciences, 2018
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Yuan Zhi, Xiangnan Zhou, Qingguo Li
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Yuan Zhi, Xiangnan Zhou, Qingguo Li
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Soft Computing, 2021
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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 +2 more
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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 +2 more
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Roughness in Residuated Lattices
2012Commutative 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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Compatible Operations on Residuated Lattices
Studia Logica, 2011The 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 +1 more
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