IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v7y2019i6p542-d239905.html
   My bibliography  Save this article

Basic Fuzzy Event Space and Probability Distribution of Probability Fuzzy Space

Author

Listed:
  • Guixiang Wang

    (Institute of Operations Research and Cybernetics, Hangzhou Dianzi University, Hangzhou 310018, China)

  • Yifeng Xu

    (Institute of Operations Research and Cybernetics, Hangzhou Dianzi University, Hangzhou 310018, China)

  • Sen Qin

    (Institute of Operations Research and Cybernetics, Hangzhou Dianzi University, Hangzhou 310018, China)

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.

Suggested Citation

  • Guixiang Wang & Yifeng Xu & Sen Qin, 2019. "Basic Fuzzy Event Space and Probability Distribution of Probability Fuzzy Space," Mathematics, MDPI, vol. 7(6), pages 1-15, June.
    • Handle: RePEc:gam:jmathe:v:7:y:2019:i:6:p:542-:d:239905
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/7/6/542/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/7/6/542/
    Download Restriction: no
    ---><---

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:gam:jmathe:v:7:y:2019:i:6:p:542-:d:239905. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.