TITLE:
A Knowledge Measure with Parameter of Intuitionistic Fuzzy Sets
AUTHORS:
Zhenhua Zhang, Shenguo Yuan, Jing Zhang, Chao Ma, Jinhui Xu, Xiaolong Lin
KEYWORDS:
Intuitionistic Fuzzy Sets, Knowledge Measure, Entropy, Uncertainty, Order Property
JOURNAL NAME:
Applied Mathematics,
Vol.9 No.7,
July
31,
2018
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.