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A categorical view at generalized concept lattices

Stanislav Krajči (2007)

Kybernetika

We continue in the direction of the ideas from the Zhang’s paper [Z] about a relationship between Chu spaces and Formal Concept Analysis. We modify this categorical point of view at a classical concept lattice to a generalized concept lattice (in the sense of Krajči [K1]): We define generalized Chu spaces and show that they together with (a special type of) their morphisms form a category. Moreover we define corresponding modifications of the image / inverse image operator and show their commutativity...

A fuzzy version of Tarski's fixpoint theorem

Abdelkader Stouti (2004)

Archivum Mathematicum

A fuzzy version of Tarski’s fixpoint Theorem for fuzzy monotone maps on nonempty fuzzy compete lattice is given.

An application of soft sets to lattices

E. K. R. Nagarajan, G. Meenambigai (2011)

Kragujevac Journal of Mathematics

Congruences and homomorphisms on $Ω$ -algebras

Elijah Eghosa Edeghagba, Branimir Šešelja, Andreja Tepavčević (2017)

Kybernetika

The topic of the paper are $Ω$ -algebras, where $Ω$ is a complete lattice. In this research we deal with congruences and homomorphisms. An $Ω$ -algebra is a classical algebra which is not assumed to satisfy particular identities and it is equipped with an $Ω$ -valued equality instead of the ordinary one. Identities are satisfied as lattice theoretic formulas. We introduce $Ω$ -valued congruences, corresponding quotient $Ω$ -algebras and $Ω$ -homomorphisms and we investigate connections among these notions. We prove...

Degrees of compatible $L$ -subsets and compatible mappings

Fu Gui Shi, Yan Sun (2024)

Kybernetika

Based on a completely distributive lattice $L$ , degrees of compatible $L$ -subsets and compatible mappings are introduced in an $L$ -approximation space and their characterizations are given by four kinds of cut sets of $L$ -subsets and $L$ -equivalences, respectively. Besides, some characterizations of compatible mappings and compatible degrees of mappings are given by compatible $L$ -subsets and compatible degrees of $L$ -subsets. Finally, the notion of complete $L$ -sublattices is introduced and it is shown that the...

Generated fuzzy implications and fuzzy preference structures

Vladislav Biba, Dana Hliněná (2012)

Kybernetika

The notion of a construction of a fuzzy preference structures is introduced. The properties of a certain class of generated fuzzy implications are studied. The main topic in this paper is investigation of the construction of the monotone generator triplet $(p, i, j)$ , which is the producer of fuzzy preference structures. Some properties of mentioned monotone generator triplet are investigated.

We introduce the concept of vague ideals in a distributive implication groupoid and investigate their properties. The vague ideals of a distributive implication groupoid are also characterized.

Displaying 1 – 10 of 10

A categorical view at generalized concept lattices

A fuzzy version of Tarski's fixpoint theorem

An application of soft sets to lattices

Congruences and homomorphisms on $Ω$ -algebras

Degrees of compatible $L$ -subsets and compatible mappings

Generated fuzzy implications and fuzzy preference structures

Generating of a class of lattices and its application

Implicative ideals of BCK-algebras based on the fuzzy sets and the theory of falling shadows.

Structured lattices and ground categories of $L$ -sets.

Vague ideals of implication groupoids

Currently displaying 1 – 10 of 10