Results 91 to 100 of about 1,868 (178)
Topological Properties of Prime Filters and Minimal Prime Filters on a Paradistributive Latticoid
International Journal of Mathematics and Mathematical Sciences, Volume 2024, Issue 1, 2024.In this paper, we study the concepts of prime filters and minimal prime filters on a paradistributive latticoid (PDL) and discuss various results. In addition, we prove that the annihilator filter S• is equal to the intersection of all prime filters not containing S.
Suryavardhani Ajjarapu +4 more
wiley +1 more source
On the Use of F-transform on the Reduction of Concept Lattices [PDF]
, 2015 In this paper, we show that F-transform can be used to re- duce relational databases. Subsequently, we show that the respective concept lattice is reduced significantly as well.
Hodakova, Petra, Madrid, Nicolás
core
On sets of graded attribute implications with witnessed non-redundancy
, 2015 We study properties of particular non-redundant sets of if-then rules describing dependencies between graded attributes. We introduce notions of saturation and witnessed non-redundancy of sets of graded attribute implications are show that bases of ...
Vychodil, Vilem
core +1 more source
Vague Filters of Residuated Lattices [PDF]
Journal of Discrete Mathematics, 2014 Notions of vague filters, subpositive implicative vague filters, and Boolean vague filters of a residuated lattice are introduced and some related properties are investigated. The characterizations of (subpositive implicative, Boolean) vague filters is obtained. We prove that the set of all vague filters of a residuated lattice forms a complete lattice
openaire +2 more sources
Some Applications of Fuzzy Sets in Residuated Lattices
AxiomsMany papers have been devoted to applying fuzzy sets to algebraic structures. In this paper, based on ideals, we investigate residuated lattices from fuzzy set theory, lattice theory, and coding theory points of view, and some applications of fuzzy sets ...
Cristina Flaut +2 more
doaj +1 more source
New topology in residuated lattices
Open Mathematics, 2018 In this paper, by using the notion of upsets in residuated lattices and defining the operator Da(X), for an upset X of a residuated lattice L we construct a new topology denoted by τa and (L, τa) becomes a topological space.
Holdon L.C.
doaj +1 more source
Sheffer operation in relational systems. [PDF]
Soft comput, 2022 Chajda I, Länger H.
europepmc +1 more source
An Exploration of Ideals and Filters in Triangle Algebras
AxiomsIn the study of algebraic structures related to logical systems, ideals and filters have different meanings and are algebraic notions related to logical provable formulas.
Euclide Noumen +3 more
doaj +1 more source
Some Types of Generalized Fuzzy n-Fold Filters in Residuated Lattices
Abstract and Applied Analysis, 2013 Fuzzy filters and their generalized types have been extensively studied in the literature. In this paper, a one-to-one correspondence between the set of all generalized fuzzy filters and the set of all generalized fuzzy congruences is established, a ...
Zhen Ming Ma
doaj +1 more source
A Van Benthem Characterization Result for Distribution-Free Logics
LogicsThis article contributes to recent results in the model theory of distribution-free logics (which include a Goldblatt-Thomason theorem and a development of their Sahlqvist theory) by lifting van Benthem’s characterization result for modal logic to the ...
Chrysafis Hartonas
doaj +1 more source