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FUZZY FILTERS ON THE RESIDUATED LATTICES [PDF]

New Mathematics and Natural Computation, 2006
In this paper, the lattice operations and the adjoint pair on the fuzzy filters set on residuated lattices are defined, the conclusion that the fuzzy filters lattice defined as such is a distributive residuated lattice is obtained. An order-reversing involution on the fuzzy strong-prime filters sublattice is introduced.
JIA-LU ZHANG, HONG-JUN ZHOU
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Reflectional Topology in Residuated Lattices

New Mathematics and Natural Computation, 2020
In this paper, we introduce soaker filters in a residuated lattice, give some characterizations and investigate some properties of them. Then we define a topology on the set of all the soaker filters, which we call reflectional topology, show it is an Alexandrov topology and give a basis for it. We introduce the notion of join-soaker filters and prove
F. Forouzesh, S. N. Hosseini
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Recursive Residuals on a Rectangular Lattice

Biometrical Journal, 1984
AbstractA 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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Nodal filters in Residuated Lattices

Journal of Intelligent & Fuzzy Systems, 2016
In 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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Residuated EQ-algebras may not be residuated lattices

Fuzzy Sets and Systems, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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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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Linear Representation of Residuated Lattices

2012
We reconsider the notion of semilinear space and consider it as a couple of two semimodules connected by residuated scalar multiplications. We show that under certain conditions the semigroup of endomorphisms of a semilinear space is a residuated, commutative l-monoid.
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Q-residuated lattices and lattice pseudoeffect algebras

Soft Computing, 2022
Xiaohong Zhang 0001, Mei Wang, Nan Sheng
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Various fuzzy connections and fuzzy concepts in complete co-residuated lattices

International Journal of Approximate Reasoning, 2022
Ju-Mok Oh
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Residuated implications derived from quasi-overlap functions on lattices

International Journal of Approximate Reasoning, 2021
Regivan Santiago, Benjamin Bedregal, Thiago Vinícius Vieira Batista   +2 more
exaly