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On the connection of fuzzy hypergraph with fuzzy information system.

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Title: On the connection of fuzzy hypergraph with fuzzy information system.
Authors: Zengtai Gong1 zt-gong@163.com, Qian Wang1,2
Source: Journal of Intelligent & Fuzzy Systems. 2017, Vol. 33 Issue 3, p1665-1676. 12p.
Subjects: Fuzzy hypergraphs, Fuzzy systems, Information storage & retrieval systems, Fuzzy logic, Classification, Mathematical equivalence
Abstract: The task of classification has been widely researched with many approaches proposed in the literature, several methods are available for the automatic definition of fuzzy classification. Meanwhile fuzzy formal concept analysis, fuzzy information system and fuzzy hypergraphs are three well-developed fields of study. In this paper, we researched fuzzy classification through connecting these three topics, and the equivalence relationship between fuzzy hypergraphs and fuzzy formal concept analysis and fuzzy information systems. At last, the particular case of complete k-uniform fuzzy hypergraphs was studied. More in detail, we give the definition of indiscernibility relation generated by attributes of fuzzy information system. Based on this, we compute the indiscernibility class of fuzzy information system and the set of reducts. [ABSTRACT FROM AUTHOR]
Copyright of Journal of Intelligent & Fuzzy Systems is the property of Sage Publications Inc. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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  Data: On the connection of fuzzy hypergraph with fuzzy information system.
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  Data: <searchLink fieldCode="AR" term="%22Zengtai+Gong%22">Zengtai Gong</searchLink><relatesTo>1</relatesTo><i> zt-gong@163.com</i><br /><searchLink fieldCode="AR" term="%22Qian+Wang%22">Qian Wang</searchLink><relatesTo>1,2</relatesTo>
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  Data: <searchLink fieldCode="JN" term="%22Journal+of+Intelligent+%26+Fuzzy+Systems%22">Journal of Intelligent & Fuzzy Systems</searchLink>. 2017, Vol. 33 Issue 3, p1665-1676. 12p.
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  Data: <searchLink fieldCode="DE" term="%22Fuzzy+hypergraphs%22">Fuzzy hypergraphs</searchLink><br /><searchLink fieldCode="DE" term="%22Fuzzy+systems%22">Fuzzy systems</searchLink><br /><searchLink fieldCode="DE" term="%22Information+storage+%26+retrieval+systems%22">Information storage & retrieval systems</searchLink><br /><searchLink fieldCode="DE" term="%22Fuzzy+logic%22">Fuzzy logic</searchLink><br /><searchLink fieldCode="DE" term="%22Classification%22">Classification</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematical+equivalence%22">Mathematical equivalence</searchLink>
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  Data: The task of classification has been widely researched with many approaches proposed in the literature, several methods are available for the automatic definition of fuzzy classification. Meanwhile fuzzy formal concept analysis, fuzzy information system and fuzzy hypergraphs are three well-developed fields of study. In this paper, we researched fuzzy classification through connecting these three topics, and the equivalence relationship between fuzzy hypergraphs and fuzzy formal concept analysis and fuzzy information systems. At last, the particular case of complete k-uniform fuzzy hypergraphs was studied. More in detail, we give the definition of indiscernibility relation generated by attributes of fuzzy information system. Based on this, we compute the indiscernibility class of fuzzy information system and the set of reducts. [ABSTRACT FROM AUTHOR]
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  Data: <i>Copyright of Journal of Intelligent & Fuzzy Systems is the property of Sage Publications Inc. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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        Value: 10.3233/JIFS-16468
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      – SubjectFull: Fuzzy hypergraphs
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      – SubjectFull: Fuzzy systems
        Type: general
      – SubjectFull: Information storage & retrieval systems
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      – SubjectFull: Fuzzy logic
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      – SubjectFull: Mathematical equivalence
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      – TitleFull: On the connection of fuzzy hypergraph with fuzzy information system.
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              Text: 2017
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