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Interior and closure operators on bounded residuated lattices
Rachůnek Jiří, Svoboda Zdeněk
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On idempotent elements of dually residuated lattice ordered semigroups
Tomáš Kovář
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Residuated lattices and lattice effect algebras
Fuzzy Sets and Systems, 2007The 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
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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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Q-residuated lattices and lattice pseudoeffect algebras
Soft Computing, 2022Xiaohong Zhang, Xiaohong Zhang
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Soft Computing, 2021
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Fuzzy Sets and Systems, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ivan Chajda, Jan Krnávek
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Ivan Chajda, Jan Krnávek
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