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Mathematics
Other literature type . 2019
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Mathematics
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Mathematics
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Mathematics
Article . 2019
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https://dx.doi.org/10.3390/mat...
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Basic Fuzzy Event Space and Probability Distribution of Probability Fuzzy Space

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 14 Jun 2019 English Publisher:MDPI AGJournal:Mathematics, volume 7, page 542 (eissn: 2227-7390, Copyright policy )
Authors: Wang, Guixiang; Xu, Yifeng; Qin, Sen;

doi: 10.3390/math7060542

Basic Fuzzy Event Space and Probability Distribution of Probability Fuzzy Space

Abstract

In this paper, the problems of basic fuzzy event space and of probability fuzzy space are studied. Firstly, the concepts of basic fuzzy event, fuzzy event and basic fuzzy event space are defined, related properties are investigated, and some results that will be used in the next study of probability fuzzy space are obtained. Then, the definitions of the probability function for fuzzy events and probability fuzzy space are given, some properties of the defined probability function are obtained. In addition, some models of probability distribution of probability fuzzy space based on a known probability space are proposed, and some examples are given to show the usability of the proposed models of probability distribution.

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Keywords

basic fuzzy event space, probability fuzzy space, QA1-939, basic fuzzy event, fuzzy event, Mathematics, probability function of fuzzy events

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    This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    		 6
    popularity
    This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
    		 Top 10%
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
6
Top 10%
Average
Average
gold