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A Knowledge Measure with Parameter of Intuitionistic Fuzzy Sets
Department of Informatics, University of Leicester, Leicester, UK
School of Finance, Guangdong University of Foreign Studies, Guangzhou, China
Education Technology Center, Guangdong University of Foreign Studies, Guangzhou, China
Department of Computer Science and Technology, University of Cambridge, Cambridge, UK
School of Mathematical & Statistical Sciences, Arizona State University, Tempe, USA
School of Mathematics and Statistics, Guangdong University of Foreign Studies, Guangzhou, China
- 1 Department of Informatics, University of Leicester, Leicester, UK
- 2 School of Finance, Guangdong University of Foreign Studies, Guangzhou, China
- 3 Education Technology Center, Guangdong University of Foreign Studies, Guangzhou, China
- 4 Department of Computer Science and Technology, University of Cambridge, Cambridge, UK
- 5 School of Mathematical & Statistical Sciences, Arizona State University, Tempe, USA
- 6 School of Mathematics and Statistics, Guangdong University of Foreign Studies, Guangzhou, China
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Abstract
A new knowledge measure with parameter of intuitionistic fuzzy sets (IFSs) is presented based on the membership degree and the non-membership degree of IFSs, which complies with the extended form of Szmidt-Kacprzyk axioms for intuitionistic fuzzy entropy. And a sufficient and necessary condition of order property in the Szmidt-Kacprzyk axioms is discussed. Additionally, some numerical examples are given to illustrate the applications of the proposed knowledge measure and some conventional entropies and knowledge measures of IFSs. The experimental results show that the results of the parametric model proposed in this paper are more accurate than those of most of the classic models.
KeywordsIntuitionistic Fuzzy SetsKnowledge MeasureEntropyUncertaintyOrder Property
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