Results 71 to 80 of about 199 (160)

Consistent posets. [PDF]

Soft comput, 2021
Chajda I, Länger H.
europepmc   +1 more source

Homomorphisms between Fuzzy Approximation Spaces Based on Residuated Lattice

Journal of Applied Mathematics, 2014
Two kinds of homomorphisms of fuzzy approximation spaces based on complete residuated lattice are proposed. The homomorphisms are structure-preserving maps in some sense.
Yuan Zhao
doaj   +1 more source

The Notions of Fuzzy Set on Pseudo Quasi Ordered Residuated Systems [version 1; peer review: 2 approved]

F1000Research
This paper introduces the concept of fuzzy filters and 2-fuzzy filters of a quasi-ordered residuated system K . This research explores comparative, normal, implicative and associative fuzzy filters within a quasi-ordered residuated system. It establishes
Teferi Getachew Alemayehu, Yeshiwas Mebrat Gubena   +1 more
doaj   +1 more source

Sheffer operation in relational systems. [PDF]

Soft comput, 2022
Chajda I, Länger H.
europepmc   +1 more source

Non-commutative residuated lattices [PDF]

Transactions of the American Mathematical Society, 1939
In the theory of non-commutative rings certain distinguished subrings, one-sided and two-sided ideals, play the important roles. Ideals combine under crosscut, union and multiplication and hence are an instance of a lattice over which a non-commutative multiplication is defined.† The investigation of such lattices was begun by W.
openaire   +1 more source

An Exploration of Ideals and Filters in Triangle Algebras

Axioms
In 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, Fabrice Tchoua Yinga, Blaise Blériot Koguep Njionou, Chris Cornelis   +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

Pointed Lattice Subreducts of Varieties of Residuated Lattices

Order
Abstract We study the pointed lattice subreducts of varieties of residuated lattices (RLs) and commutative residuated lattices (CRLs), i.e. lattice subreducts expanded by the constant $$\textsf{1}$$
openaire   +3 more sources

Abstract residuation over lattices [PDF]

Bulletin of the American Mathematical Society, 1938
The idea of residuation goes back to Dedekind [3], † who introduced it in the theory of modules. It has since had extensive applications in the theory of algebraic modular systems [6], in the theory of ideals [8], and in certain topics of arithmetic [9]. On account of its fundamental role in several fields of modern algebra, it is desirable to consider
openaire   +4 more sources

A Van Benthem Characterization Result for Distribution-Free Logics

Logics
This 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