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Fuzzy closure systems onL-ordered sets

Authors :
Qingguo Li
Guo-Qiang Zhang
Lankun Guo
Source :
Mathematical Logic Quarterly. 57:281-291
Publication Year :
2011
Publisher :
Wiley, 2011.

Abstract

In this paper, notions of fuzzy closure system and fuzzy closure L—system on L—ordered sets are introduced from the fuzzy point of view. We first explore the fundamental properties of fuzzy closure systems. Then the correspondence between fuzzy closure systems (fuzzy closure L—systems) and fuzzy closure operators is established. Finally, we study the connections between fuzzy closure systems and fuzzy Galois connections. © 2011 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim

Subjects

Subjects :
Pure mathematics
Fuzzy classification
Mathematics::General Mathematics
Fuzzy set
Fuzzy subalgebra
Fuzzy logic
Defuzzification
Algebra
TheoryofComputation_MATHEMATICALLOGICANDFORMALLANGUAGES
ComputingMethodologies_PATTERNRECOGNITION
TheoryofComputation_LOGICSANDMEANINGSOFPROGRAMS
Fuzzy mathematics
Fuzzy set operations
Fuzzy number
ComputingMethodologies_GENERAL
Mathematics

Details

ISSN :
09425616
Volume :
57
Database :
OpenAIRE
Journal :
Mathematical Logic Quarterly
Accession number :
edsair.doi...........558bc3b857f50962d45f6ea4427bdb51
Full Text :
https://doi.org/10.1002/malq.201010007
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