A New Type of Compositive Information Entropy for IvIFS and Its Applications
Joint Authors
Mao, Junjun
Zhao, Yuan
Ma, Chuang
Source
Mathematical Problems in Engineering
Issue
Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2016-01-24
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
We first show the interval-valued intuitionistic fuzzy entropy which reflects intuitionism and fuzziness of interval-valued intuitionistic fuzzy set (IvIFS) based on interval-valued intuitionistic fuzzy cross-entropy.
As for intuitionism and fuzziness of IvIFS, we propose interval-valued intuitionistic entropy and interval-valued fuzzy entropy, respectively.
Furthermore, we establish the interval-valued span entropy describing the uncertainty of membership degree and nonmembership degree and show some concrete measure formulas.
Combining intuitionistic factor, fuzzy factor, and span factor, we ultimately put forward the axiomatic definition of the compositive entropy and give a measure formula of compositive entropy.
In addition, the effectiveness of the compositive entropy measure is illuminated by comparison with other entropy measures.
Furthermore, the compositive entropy is applied to multiple attributes’ decision-making by using the weighted correlation coefficient between IvIFSs and pattern recognition by a similarity measure transformed from the compositive entropy.
American Psychological Association (APA)
Mao, Junjun& Zhao, Yuan& Ma, Chuang. 2016. A New Type of Compositive Information Entropy for IvIFS and Its Applications. Mathematical Problems in Engineering،Vol. 2016, no. 2016, pp.1-13.
https://search.emarefa.net/detail/BIM-1112599
Modern Language Association (MLA)
Mao, Junjun…[et al.]. A New Type of Compositive Information Entropy for IvIFS and Its Applications. Mathematical Problems in Engineering No. 2016 (2016), pp.1-13.
https://search.emarefa.net/detail/BIM-1112599
American Medical Association (AMA)
Mao, Junjun& Zhao, Yuan& Ma, Chuang. A New Type of Compositive Information Entropy for IvIFS and Its Applications. Mathematical Problems in Engineering. 2016. Vol. 2016, no. 2016, pp.1-13.
https://search.emarefa.net/detail/BIM-1112599
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1112599