Results 131 to 140 of about 662 (160)
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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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Prime Filters on Residuated Lattices
2012 IEEE 42nd International Symposium on Multiple-Valued Logic, 2012In this short paper we give an affirmative answer to the problem left open in \cite{IEEE how to: GDCK}, that is, for any residuated lattice $L$, if prime filters and prime filters of the second kind coincide, then $L$ must be an MTL-algebra.
Michiro Kondo, Esko Turunen
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THE STRUCTURE OF COMMUTATIVE RESIDUATED LATTICES
International Journal of Algebra and Computation, 2002A commutative residuated lattice, is an ordered algebraic structure [Formula: see text], where (L, ·, e) is a commutative monoid, (L, ∧, ∨) is a lattice, and the operation → satisfies the equivalences [Formula: see text] for a, b, c ∊ L. The class of all commutative residuated lattices, denoted by [Formula: see text], is a finitely based variety of ...
James B. Hart +2 more
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Nodal filters in Residuated Lattices
Journal of Intelligent & Fuzzy Systems, 2016In this paper, we introduce the notion of a nodal filter in residuated lattices. We give several characterizations of these filters and also some relationships between these filters and other types of filters are obtained, as well. Finally, we prove that the class of all nodal filters of a residuated lattice forms a Heyting algebra.
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The stable topology for residuated lattices
Soft Computing, 2012zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Catalin Busneag, Dana Piciu
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Recursive Residuals on a Rectangular Lattice
Biometrical Journal, 1984AbstractA set of independentN(O, ρ2) recursive residuals is obtained for a model proposed by GLEESON and McGILCHRIST (1980) to describe spatial dependence among observations on a rectangular lattice. These residuals can be used to test model adequacy in a similar fashion to Box‐Jenkins techniques for time series models.
Gleeson, A. C., McGilchrist, C. A.
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On Gelfand residuated lattices
Soft Computing, 2022Saeed 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 co-annihilators in residuated lattices
Journal of Intelligent & Fuzzy Systems, 2016In this paper, extension of relative co-annihilator in residuated lattices is introduced for subsets T and Y of residuated lattice L and is denoted by ( T ,
Farnaz Ghanavizi Maroof +2 more
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Lattices of (generalized) fuzzy filters in residuated lattices
Journal of Intelligent & Fuzzy Systems, 2014(Generalized) fuzzy filters in logical algebras were extensively researched. In this paper, associated with the notion of tip-extended pair of fuzzy sets, it is proved, respectively, that the sets of all fuzzy filters and all generalized fuzzy filters form bounded distributive lattices.
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