The Unified Lower and Upper Approximations Based on a Fuzzy Ideal

In this paper, we consider a ring as a universal set and we assume that the knowledge about objects is restricted by a fuzzy ideal. Then we define the unified lower and upper approximations of a subset of a ring based on a fuzzy ideal. Some properties of the unified approximation operators are exami...

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Bibliographic Details
Published in2007 International Conference on Machine Learning and Cybernetics Vol. 3; pp. 1226 - 1231
Main Authors Hui-Yin Zhao, Ju-Sheng Mi
Format Conference Proceeding
LanguageEnglish
Published IEEE 01.08.2007
Subjects
Cybernetics
Educational institutions
Fuzzy sets
Ideal
Information science
Machine learning
Mathematics
Ring
Rough set
Rough sets
Set theory
Uncertainty
Unified approximation
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ISBN1424409721
9781424409723
ISSN2160-133X
DOI10.1109/ICMLC.2007.4370332

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Summary:In this paper, we consider a ring as a universal set and we assume that the knowledge about objects is restricted by a fuzzy ideal. Then we define the unified lower and upper approximations of a subset of a ring based on a fuzzy ideal. Some properties of the unified approximation operators are examined.
ISBN:1424409721
9781424409723
ISSN:2160-133X
DOI:10.1109/ICMLC.2007.4370332