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A new form of fuzzy $α$ -compactness

Fu Gui Shi — 2006

Mathematica Bohemica

A new form of $α$ -compactness is introduced in $L$ -topological spaces by $α$ -open $L$ -sets and their inequality where $L$ is a complete de Morgan algebra. It doesn’t rely on the structure of the basis lattice $L$ . It can also be characterized by means of $α$ -closed $L$ -sets and their inequality. When $L$ is a completely distributive de Morgan algebra, its many characterizations are presented and the relations between it and the other types of compactness are discussed. Countable $α$ -compactness and the $α$ -Lindelöf property...

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...

$L$ -fuzzy ideal degrees in effect algebras

Xiaowei Wei; Fu Gui Shi — 2022

Kybernetika

In this paper, considering $L$ being a completely distributive lattice, we first introduce the concept of $L$ -fuzzy ideal degrees in an effect algebra $E$ , in symbol $𝔇_{e i}$ . Further, we characterize $L$ -fuzzy ideal degrees by cut sets. Then it is shown that an $L$ -fuzzy subset $A$ in $E$ is an $L$ -fuzzy ideal if and only if $𝔇_{e i} (A) = ⊤,$ which can be seen as a generalization of fuzzy ideals. Later, we discuss the relations between $L$ -fuzzy ideals and cut sets ( $L_{β}$ -nested sets and $L_{α}$ -nested sets). Finally, we obtain that the $L$ -fuzzy...

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Currently displaying 1 – 7 of 7

A new form of fuzzy $α$ -compactness

Degrees of compatible $L$ -subsets and compatible mappings

$L$ -fuzzy ideal degrees in effect algebras

Semicompactness in $L$ -topological spaces.

$(L, M)$ -fuzzy $σ$ -algebras.

Connectedness degrees in $L$ -fuzzy topological spaces.

Near $S^{*}$ -compactness in $L$ -topological spaces.

Advanced Search

Formula preview

Currently displaying 1 – 7 of 7

A new form of fuzzy α -compactness

Degrees of compatible L -subsets and compatible mappings

L -fuzzy ideal degrees in effect algebras

Semicompactness in L -topological spaces.

( L , M ) -fuzzy σ -algebras.

Connectedness degrees in L -fuzzy topological spaces.

Near S * -compactness in L -topological spaces.

A new form of fuzzy $α$ -compactness

Degrees of compatible $L$ -subsets and compatible mappings

$L$ -fuzzy ideal degrees in effect algebras

Semicompactness in $L$ -topological spaces.

$(L, M)$ -fuzzy $σ$ -algebras.

Connectedness degrees in $L$ -fuzzy topological spaces.

Near $S^{*}$ -compactness in $L$ -topological spaces.