Fuzzy complete lattices

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

Citing 14
Cited 5

Point-set lattice-theoretic topology

Fuzzy Sets and Systems - Special memorial volume on mathematical aspects of fuzzy set theory
Domain theory

Handbook of logic in computer science (vol. 3)
Elements of generalized ultrametric domain theory

Theoretical Computer Science
Continuity spaces: reconciling domains and metric spaces

MFPS '94 Proceedings of the tenth conference on Mathematical foundations of programming semantics
Liminf convergence in &OHgr;-categories

Theoretical Computer Science
Generalized metric spaces: completion, topology, and power domains via the Yoneda embedding

Theoretical Computer Science
L-fuzzy lattices: an introduction

Fuzzy Sets and Systems
Fuzzy Relational Systems: Foundations and Principles

Fuzzy Relational Systems: Foundations and Principles
Weighted colimits and formal balls in generalized metric spaces

Weighted colimits and formal balls in generalized metric spaces
The Dedekind--MacNeille completions for fuzzy posets

Fuzzy Sets and Systems
Fuzzifying Closure Systems and Fuzzy Lattices

RSFDGrC '07 Proceedings of the 11th International Conference on Rough Sets, Fuzzy Sets, Data Mining and Granular Computing
Continuity in quantitative domains

Fuzzy Sets and Systems
Similarity relations and fuzzy orderings

Information Sciences: an International Journal
Fuzzy ordering relation and fuzzy poset

PReMI'07 Proceedings of the 2nd international conference on Pattern recognition and machine intelligence

The Dedekind--MacNeille completions for fuzzy posets

Fuzzy Sets and Systems
Quantitative domains via fuzzy sets: Part II: Fuzzy Scott topology on fuzzy directed-complete posets

Fuzzy Sets and Systems
The relationship between L-fuzzy rough set and L-topology

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, based on L-fuzzy posets previously introduced by the third author, L-fuzzy complete lattices are defined, which are generalizations of usual complete lattices and coincide with Wagner's complete and cocomplete @W-categories enriched over the frame L, and are consequently a special kind of complete @W-lattices defined by Lai and Zhang. However, Tarski fixed-point theorem for the L-fuzzy complete lattices is proved in a different way from that by Lai and Zhang. Furthermore, some fuzzy powerset operators are suggested, they are not only generalizations of ordinary powerset operators, but also generalizations of L-valued Zadeh powerset operators, and their properties are discussed.