Some information measures for interval-valued intuitionistic fuzzy sets

  • Authors:

  • Qian-sheng Zhang;Shengyi Jiang;Baoguo Jia;Shihua Luo

  • Affiliations:

  • Cisco School of Informatics, Guangdong University of Foreign Studies, Guangzhou 510420, China and School of Information Science and Technology, Sun Yat-sen University, Guangzhou 510275, China;Cisco School of Informatics, Guangdong University of Foreign Studies, Guangzhou 510420, China;School of Mathematics and Computational Science, Sun Yat-sen University, Guangzhou 510275, China;School of Information Management, Jiangxi University of Finance and Economics, Nanchang 330013, China

  • Venue:
  • Information Sciences: an International Journal
  • Year:
  • 2010

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Abstract

A new information entropy measure of interval-valued intuitionistic fuzzy set (IvIFS) is proposed by using membership interval and non-membership interval of IvIFS, which complies with the extended form of Deluca-Termini axioms for fuzzy entropy. Then the cross-entropy of IvIFSs is presented and the relationship between the proposed entropy measures and the existing information measures of IvIFSs is discussed. Additionally, some numerical examples are given to illustrate the applications of the proposed entropy and cross-entropy of IvIFSs to pattern recognition and decision-making.