Results 81 to 90 of about 427,892 (185)

Remarks on ideals in lower-bounded dually residuated lattice-ordered monoids [PDF]

, 2004
summary:Lattice-ordered groups, as well as $GMV$-algebras (pseudo $MV$-algebras), are both particular cases of dually residuated lattice-ordered monoids ($DR\ell $-monoids for short).
Kühr, Jan
core   +1 more source

Topological Information Systems in a Complete Co-Residuated Lattice

Axioms
In this paper, we introduce topological information systems between objects with a distance and attributes with a distance based on a complete co-residuated lattice. We can obtain two distances and Alexandrov topologies for objects and attributes from an
Yong Chan Kim, Young-Hee Kim
doaj   +1 more source

Some Applications of Fuzzy Sets in Residuated Lattices

Axioms
Many 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, Dana Piciu, Bianca Liana Bercea   +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

Solving Generalized Equations with Bounded Variables and Multiple Residuated Operators

Mathematics, 2020
This paper studies the resolution of sup-inequalities and sup-equations with bounded variables such that the sup-composition is defined by using different residuated operators of a given distributive biresiduated multi-adjoint lattice. Specifically, this
M. Eugenia Cornejo, David Lobo, Jesús Medina   +2 more
doaj   +1 more source

Commutative Rings Behind Divisible Residuated Lattices

Mathematics
Divisible residuated lattices are algebraic structures corresponding to a more comprehensive logic than Hajek’s basic logic with an important significance in the study of fuzzy logic.
Cristina Flaut, Dana Piciu
doaj   +1 more source

Partial Residuated Implications Derived from Partial Triangular Norms and Partial Residuated Lattices

, 2022
In this paper, we reveal some relations between fuzzy logic and quantum logic, and mainly study the partial residuated implications (PRIs) derived from partial triangular norms (partial t-norms) and partial residuated lattices (PRLs), and expand some ...
Sheng, Nan, Borzooei, Rajab Ali, Zhang, Xiaohong   +2 more
core  

Implication in finite posets with pseudocomplemented sections. [PDF]

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

Residuated lattices : an algebraic glimpse at substructural logics /

, 2007
The book is meant to serve two purposes. The first and more obvious one is to present state of the art results in algebraic research into residuated structures related to substructural logics. The second, less obvious but equally important, is to provide
Galatos, Nikolaos.
core  

Cancellative residuated lattices as lattice ordered groups with a modality

, 2007
Our work proposes a new paradigm for the study of various classes of cancellative residuated lattices by viewing these structures as lattice-ordered groups with a suitable modal operator (a conucleus).
Tsinakis C., Montagna F.
core   +1 more source