Entropy, similarity measure of interval-valued intuitionistic fuzzy sets and their applications

  • Authors:

  • Cui-Ping Wei;Pei Wang;Yu-Zhong Zhang

  • Affiliations:

  • College of Operations and Management, Qufu Normal University, Rizhao, Shandong 276826, PR China;School of Management and Economics, Beijing Institute of Technology, Beijing 100086, PR China;College of Operations and Management, Qufu Normal University, Rizhao, Shandong 276826, PR China

  • Venue:
  • Information Sciences: an International Journal
  • Year:
  • 2011

Quantified Score

Hi-index 0.07

Visualization

Abstract

In this paper we propose an entropy measure for interval-valued intuitionistic fuzzy sets, which generalizes three entropy measures defined independently by Szmidt, Wang and Huang, for intuitionistic fuzzy sets. We also give an approach to construct similarity measures using entropy measures for interval-valued intuitionistic fuzzy sets. In particular, the proposed entropy measure for interval-valued intuitionistic fuzzy sets can yield a similarity measure. Several illustrative examples are given to demonstrate the practicality and effectiveness of the proposed formulas. We apply the similarity measure to solve problems on pattern recognitions, multi-criteria fuzzy decision making and medical diagnosis.