The Dedekind-MacNeille completions for fuzzy posets

Weixian X. Xie; Qiye Y. Zhang; Lei Fan

doi:10.1016/j.fss.2008.12.002

The Dedekind-MacNeille completions for fuzzy posets

Weixian X. Xie
, Qiye Y. Zhang^*
, Lei Fan

^*Corresponding author for this work

School of Mathematical Sciences

Beijing Institute of Fashion Technology
Key Laboratory of Precision Opto-Mechatronics Technology (Ministry of Education)
Capital Normal University

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

34 Scopus citations

Abstract

In this paper, the Dedekind-MacNeille completion for an L-fuzzy poset, previously introduced by the authors, is built and characterized, which generalizes the Dedekind-MacNeille completion for an ordinary poset. The relationship between the L-fuzzy complete lattices defined by the authors and Bělohlávek's completely lattice L-ordered sets is discussed.

Original language	English
Pages (from-to)	2292-2316
Number of pages	25
Journal	Fuzzy Sets and Systems
Volume	160
Issue number	16
DOIs	https://doi.org/10.1016/j.fss.2008.12.002
State	Published - 16 Aug 2009

Keywords

Completely lattice L-ordered set
Dedekind-MacNeille completion
Fuzzy order
L-concept lattice
L-fuzzy complete lattice
L-fuzzy poset

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10.1016/j.fss.2008.12.002

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title = "The Dedekind-MacNeille completions for fuzzy posets",

abstract = "In this paper, the Dedekind-MacNeille completion for an L-fuzzy poset, previously introduced by the authors, is built and characterized, which generalizes the Dedekind-MacNeille completion for an ordinary poset. The relationship between the L-fuzzy complete lattices defined by the authors and B{\v e}lohl{\'a}vek's completely lattice L-ordered sets is discussed.",

keywords = "Completely lattice L-ordered set, Dedekind-MacNeille completion, Fuzzy order, L-concept lattice, L-fuzzy complete lattice, L-fuzzy poset",

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AU - Xie, Weixian X.

AU - Zhang, Qiye Y.

AU - Fan, Lei

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Y1 - 2009/8/16

N2 - In this paper, the Dedekind-MacNeille completion for an L-fuzzy poset, previously introduced by the authors, is built and characterized, which generalizes the Dedekind-MacNeille completion for an ordinary poset. The relationship between the L-fuzzy complete lattices defined by the authors and Bělohlávek's completely lattice L-ordered sets is discussed.

AB - In this paper, the Dedekind-MacNeille completion for an L-fuzzy poset, previously introduced by the authors, is built and characterized, which generalizes the Dedekind-MacNeille completion for an ordinary poset. The relationship between the L-fuzzy complete lattices defined by the authors and Bělohlávek's completely lattice L-ordered sets is discussed.

KW - Completely lattice L-ordered set

KW - Dedekind-MacNeille completion

KW - Fuzzy order

KW - L-concept lattice

KW - L-fuzzy complete lattice

KW - L-fuzzy poset

UR - https://www.scopus.com/pages/publications/67349118109

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DO - 10.1016/j.fss.2008.12.002

M3 - 文章

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VL - 160

SP - 2292

EP - 2316

JO - Fuzzy Sets and Systems

JF - Fuzzy Sets and Systems

IS - 16

ER -

The Dedekind-MacNeille completions for fuzzy posets

Abstract

Keywords

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