Relations among similarity measure, subsethood measure and fuzzy entropy

In this paper we study the relations among similarity measure, subsethood measure and fuzzy entropy and present several propositions that similarity measure, subsethood measure and fuzzy entropy can be transformed by each other based on their axiomatic definitions. Some new formulae to calculate sim...

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Main Authors: Yingfang Li, Keyun Qin, Xingxing He
Format: Article
Language:English
Published: Atlantis Press 2013-05-01
Series:International Journal of Computational Intelligence Systems
Subjects:
Online Access:https://www.atlantis-press.com/article/25868395.pdf
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spelling doaj-a1535a273a3740888d403cfae348616d2020-11-25T01:42:38ZengAtlantis PressInternational Journal of Computational Intelligence Systems 1875-68832013-05-016310.1080/18756891.2013.780726Relations among similarity measure, subsethood measure and fuzzy entropyYingfang LiKeyun QinXingxing HeIn this paper we study the relations among similarity measure, subsethood measure and fuzzy entropy and present several propositions that similarity measure, subsethood measure and fuzzy entropy can be transformed by each other based on their axiomatic definitions. Some new formulae to calculate similarity measure, subsethood measure and fuzzy entropy are proposed.https://www.atlantis-press.com/article/25868395.pdfSimilarity measureSubsethood measureFuzzy entropyFuzzy equivalence
collection DOAJ
language English
format Article
sources DOAJ
author Yingfang Li
Keyun Qin
Xingxing He
spellingShingle Yingfang Li
Keyun Qin
Xingxing He
Relations among similarity measure, subsethood measure and fuzzy entropy
International Journal of Computational Intelligence Systems
Similarity measure
Subsethood measure
Fuzzy entropy
Fuzzy equivalence
author_facet Yingfang Li
Keyun Qin
Xingxing He
author_sort Yingfang Li
title Relations among similarity measure, subsethood measure and fuzzy entropy
title_short Relations among similarity measure, subsethood measure and fuzzy entropy
title_full Relations among similarity measure, subsethood measure and fuzzy entropy
title_fullStr Relations among similarity measure, subsethood measure and fuzzy entropy
title_full_unstemmed Relations among similarity measure, subsethood measure and fuzzy entropy
title_sort relations among similarity measure, subsethood measure and fuzzy entropy
publisher Atlantis Press
series International Journal of Computational Intelligence Systems
issn 1875-6883
publishDate 2013-05-01
description In this paper we study the relations among similarity measure, subsethood measure and fuzzy entropy and present several propositions that similarity measure, subsethood measure and fuzzy entropy can be transformed by each other based on their axiomatic definitions. Some new formulae to calculate similarity measure, subsethood measure and fuzzy entropy are proposed.
topic Similarity measure
Subsethood measure
Fuzzy entropy
Fuzzy equivalence
url https://www.atlantis-press.com/article/25868395.pdf
work_keys_str_mv AT yingfangli relationsamongsimilaritymeasuresubsethoodmeasureandfuzzyentropy
AT keyunqin relationsamongsimilaritymeasuresubsethoodmeasureandfuzzyentropy
AT xingxinghe relationsamongsimilaritymeasuresubsethoodmeasureandfuzzyentropy
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