An improved fuzzy entropy of Vague Sets considering hesitancy degree

DOI

10.2991/jiaet-18.2018.13How to use a DOI?

Keywords

Vague sets; vague entropy; membership function; hesitancy degree

Abstract

The construction of fuzzy entropy is one of the research focuses in the field of vague sets. The existing fuzzy entropy formulae have three deficiencies: Firstly, as the increase of hesitancy degree, the change of entropy value is unstable; secondly, when the value of fuzzy entropy is 1, the change of hesitancy degree has no effect on fuzzy entropy; thirdly, the existing entropy formulae do not fully satisfy the completeness of the definition of fuzzy entropy. Based on the comparative analysis, this paper introduces the hesitancy degree into the fuzzy entropy formulae, proposing a new entropy formula and proves its completeness theoretically. The new entropy formula takes into account both intuitiveness and fuzziness of the vague entropy and the comparative analysis of living examples shows that the improved entropy of Vague Sets overcomes the three drawbacks mentioned above, thus having better validity and rationality.

Copyright

© 2018, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Download article (PDF)

TY  - CONF
AU  - Weibing Feng
AU  - Hairong Wang
PY  - 2018/03
DA  - 2018/03
TI  - An improved fuzzy entropy of Vague Sets considering hesitancy degree
BT  - Proceedings of the 2018 Joint International Advanced Engineering and Technology Research Conference (JIAET 2018)
PB  - Atlantis Press
SP  - 79
EP  - 84
SN  - 2352-5401
UR  - https://doi.org/10.2991/jiaet-18.2018.13
DO  - 10.2991/jiaet-18.2018.13
ID  - Feng2018/03
ER  -