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On the lattice of varieties of residuation algebras
Algebra Universalis, 1999A partially ordered monoid (pomonoid) \({\mathbf B}=\langle B;\oplus ,0,\leq \rangle \) is called left residuated if for any \(x,y\in B\) there exists \(x\setbox 1 \hbox {}-\)
C. J. Van Alten, James G. Raftery
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Q-residuated lattices and lattice pseudoeffect algebras
Soft Computing - A Fusion of Foundations, Methodologies and Applications, 2022Xiaohong Zhang, Mei Wang, Nan Sheng
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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.
Jiří Rachůnek, Dana Šalounová
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2016
In this paper, we first introduce the notion of ideals in residuated lattices as a natural generalization of the concept of ideals in BL-algebras. Then we give several equivalent characterizations of ideals in residuated lattices. Finally, the congruence induced by ideals in residuated lattices is also obtained.
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In this paper, we first introduce the notion of ideals in residuated lattices as a natural generalization of the concept of ideals in BL-algebras. Then we give several equivalent characterizations of ideals in residuated lattices. Finally, the congruence induced by ideals in residuated lattices is also obtained.
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Residuated lattice of L-fuzzy ideals of a ring
Soft Computing - A Fusion of Foundations, Methodologies and Applications, 2020S. V. T. Foka, Marcel Tonga
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Variety generated by conical residuated lattice-ordered idempotent monoids
Semigroup Forum, 2019Wei Chen, Yizhi Chen
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FWI- ideals of Residuated Lattice Wajsberg Algebras
Journal of Computer and Mathematical Sciences, 2019A. Ibrahim, R. Shanmugapriya
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Some results on state ideals in state residuated lattices
Soft Computing - A Fusion of Foundations, Methodologies and Applications, 2023Francis Woumfo +3 more
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Fuzzy Implicative Filters of Residuated Lattice Wajsberg Algebras
Journal of Computer and Mathematical Sciences, 2018A. Ibrahim, V. Nirmala
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