The Dedekind--MacNeille completions for fuzzy posets

Authors:
Weixian Xie;Qiye Zhang;Lei Fan
Affiliations:
Department of Basic Course, Beijing Institute of Clothing and Technology, Beijing 100029, China;Department of Mathematics, Beijing University of Aeronautics and Astronautics, Beijing 100083, China and LMIB of the Ministry of Education, Beijing 100083, China;Department of Educational Technology, Capital Normal University, Beijing 100037, China
Venue:
Fuzzy Sets and Systems
Year:
2009

Citing 3
Cited 4

Fuzzy Relational Systems: Foundations and Principles

Fuzzy Relational Systems: Foundations and Principles
Fuzzy complete lattices

Fuzzy Sets and Systems
Continuity in quantitative domains

Fuzzy Sets and Systems

Fuzzy complete lattices

Fuzzy Sets and Systems
Completely lattice L-ordered sets with and without L-equality

Fuzzy Sets and Systems
Join-completions of L-ordered sets

Fuzzy Sets and Systems
Two cartesian closed subcategories of fuzzy domains

Fuzzy Sets and Systems

Quantified Score

Hi-index	0.20

Visualization

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 Belohlavek's completely lattice L-ordered sets is discussed.