Results 111 to 120 of about 199 (160)

Interior and closure operators on bounded residuated lattices

Open Mathematics, 2014
Rachůnek Jiří, Svoboda Zdeněk
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On idempotent elements of dually residuated lattice ordered semigroups

Discussiones Mathematicae - General Algebra and Applications
Tomáš Kovář
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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
Guo-Jun Wang
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
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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
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Skew residuated lattices

Fuzzy Sets and Systems, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ivan Chajda, Jan Krnávek
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Residuated skew lattices

Information Sciences, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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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