数理科学

区间毕达哥拉斯模糊连续交叉熵及其多属性决策方法

展开
  • 1.巢湖学院,数学与统计学院 : 2.巢湖学院,电子工程学院 : 3.巢湖学院,数学与统计学院 : 4.安徽大学,数学科学学院
郝江锋(1981-),男,安徽潜山人,巢湖学院数学与统计学院讲师,主要从事模糊预测和决策分析、概率论与数理统计研究。

收稿日期: 2020-04-18

  网络出版日期: 2020-08-20

基金资助

国家自然科学基金项目(项目编号:71871001、71771001);安徽省自然科学基金项目(项目编号:1808085QG211);巢湖学院校级重点科研项目(项目编号:XLZ-201904);巢湖学院科研启动经费项目(项目编号:KYQD-201306)

Multi-Attribute Decision Making Method Based on the Continuous Interval Value Pythagoras Fuzzy Cross Entropy

Expand
  • 1. School of Mathematics and Statistics, Chaohu University, Chaohu Anhui 238000;
    2. School of Electronic Engineering, Chaohu University, Chaohu Anhui 238000; 3. School of Mathematics and Statistics, Chaohu University, Chaohu Anhui 238000; 4. School of Mathematics Science, Anhui University, Hefei Anhui 230601
HAO Jiang-feng:School of Mathematics and Statistics, Chaohu University, Chaohu Anhui 238000

Received date: 2020-04-18

  Online published: 2020-08-20

Supported by

71871001、71771001;1808085QG211;XLZ-201904;KYQD-201306

摘要

研究将连续有序加权平均(COWA)算子引入区间毕达哥拉斯模糊(IVPF)环境,定义了一种区间毕达哥拉斯模糊连续交叉熵测度,以此来刻画两个区间毕达哥拉斯模糊集(IVPFS)之间的差异程度;利用区间毕达哥拉斯模糊连续交叉熵来确定属性权重,其中针对属性权重信息不完全确定条件下,建立以区间毕达哥拉斯模糊连续交叉熵最大为准则的规划模型。根据区间毕达哥拉斯模糊集的加权相关系数,给出了区间毕达哥拉斯模糊多属性决策算法,并对态度参数λ进行了灵敏度分析。最后通过一个实例说明提出的决策方法的合理性与有效性。

本文引用格式

郝江锋, 钱云, 汪峰, 李浩 . 区间毕达哥拉斯模糊连续交叉熵及其多属性决策方法[J]. 巢湖学院学报, 2020 , 22(3) : 72 -78 . DOI: 10.12152/j.issn.1672-2868.2020.03.010

Abstract

In this article the continuous ordered weighted average COWAoperator is introduced into the interval Pythagorean fuzzy environment, and a continuous cross entropy measure of interval Pythagorean fuzzy is defined. The continuous cross entropy of interval Pythagoras fuzzy is used to determine the attribute weight, and a programming model with maximum criterion of interval Pythagoras fuzzy continuous cross entropy is established under the condition that the information of attribute weight is not completely determined. Based on the weighted correlation coefficient of the interval Pythagorean fuzzy set, the interval Pythagorean fuzzy multi-attribute decision algorithm is presented, and the sensitivity of attitude parameters is analyzed. Finally, an example is given to illustrate the rationality and effectiveness of the proposed decision-making method.
文章导航

/