Strong fuzzy compact sets and ultra-fuzzy compact sets in L -topological spaces

Sheng Gang Li; Li Li Zhang; Zong Ben Xu

doi:10.1016/j.fss.2004.04.001

Strong fuzzy compact sets and ultra-fuzzy compact sets in L -topological spaces

Sheng Gang Li
, Li Li Zhang
, Zong Ben Xu

School of Mathematics and Statistics

Research output: Contribution to journal › Article › peer-review

7 Scopus citations

Abstract

In this paper, Lowen's strong fuzzy compactness and ultra-fuzzy compactness of I-topological spaces are extended to L-subsets, for L - a complete lattice. The properties of strong fuzzy compact L-subsets and ultra-fuzzy compact L-subsets are studied in detail here, and comparisons between these notions as well as the notion of N-compactness are shown.

Original language	English
Pages (from-to)	293-306
Number of pages	14
Journal	Fuzzy Sets and Systems
Volume	147
Issue number	2
DOIs	https://doi.org/10.1016/j.fss.2004.04.001
State	Published - 16 Oct 2004

Keywords

Complete lattice
Fuzzy topology
N-compact L -subset
Strong fuzzy compact L -subset
Ultra-fuzzy compact L -subset

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10.1016/j.fss.2004.04.001

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title = "Strong fuzzy compact sets and ultra-fuzzy compact sets in L -topological spaces",

abstract = "In this paper, Lowen's strong fuzzy compactness and ultra-fuzzy compactness of I-topological spaces are extended to L-subsets, for L - a complete lattice. The properties of strong fuzzy compact L-subsets and ultra-fuzzy compact L-subsets are studied in detail here, and comparisons between these notions as well as the notion of N-compactness are shown.",

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AU - Zhang, Li Li

AU - Xu, Zong Ben

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N2 - In this paper, Lowen's strong fuzzy compactness and ultra-fuzzy compactness of I-topological spaces are extended to L-subsets, for L - a complete lattice. The properties of strong fuzzy compact L-subsets and ultra-fuzzy compact L-subsets are studied in detail here, and comparisons between these notions as well as the notion of N-compactness are shown.

AB - In this paper, Lowen's strong fuzzy compactness and ultra-fuzzy compactness of I-topological spaces are extended to L-subsets, for L - a complete lattice. The properties of strong fuzzy compact L-subsets and ultra-fuzzy compact L-subsets are studied in detail here, and comparisons between these notions as well as the notion of N-compactness are shown.

KW - Complete lattice

KW - Fuzzy topology

KW - N-compact L -subset

KW - Strong fuzzy compact L -subset

KW - Ultra-fuzzy compact L -subset

UR - https://www.scopus.com/pages/publications/4344615468

U2 - 10.1016/j.fss.2004.04.001

DO - 10.1016/j.fss.2004.04.001

M3 - 文章

AN - SCOPUS:4344615468

SN - 0165-0114

VL - 147

SP - 293

EP - 306

JO - Fuzzy Sets and Systems

JF - Fuzzy Sets and Systems

IS - 2

ER -

Strong fuzzy compact sets and ultra-fuzzy compact sets in L -topological spaces

Abstract

Keywords

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