A Knowledge Measure with Parameter of Intuitionistic Fuzzy Sets

IF 1 4区数学

Applied Mathematics-A Journal of Chinese Universities Series B Pub Date : 2018-07-12 DOI:10.4236/AM.2018.97060

Zhenhua Zhang, Shenguo Yuan, Jing Zhang, Chao Ma, Jinhui Xu, Xiaolong Lin

引用次数: 2

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.

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一种带有直觉模糊集参数的知识度量

基于直觉模糊集的隶属度和非隶属度，提出了一种新的带有直觉模糊集参数的知识度量方法，该方法符合直觉模糊熵的Szmidt-Kacprzyk公理的扩展形式。讨论了Szmidt-Kacprzyk公理中序性的一个充要条件。此外，还给出了一些数值例子来说明所提出的知识测度和ifs的一些常规熵和知识测度的应用。实验结果表明，本文提出的参数化模型的计算结果比大多数经典模型的计算结果更准确。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Applied Mathematics-A Journal of Chinese Universities Series B MATHEMATICS, APPLIED-

自引率

10.00%

发文量

期刊介绍： Applied Mathematics promotes the integration of mathematics with other scientific disciplines, expanding its fields of study and promoting the development of relevant interdisciplinary subjects. The journal mainly publishes original research papers that apply mathematical concepts, theories and methods to other subjects such as physics, chemistry, biology, information science, energy, environmental science, economics, and finance. In addition, it also reports the latest developments and trends in which mathematics interacts with other disciplines. Readers include professors and students, professionals in applied mathematics, and engineers at research institutes and in industry. Applied Mathematics - A Journal of Chinese Universities has been an English-language quarterly since 1993. The English edition, abbreviated as Series B, has different contents than this Chinese edition, Series A.