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A New Distance Measure Between Atanassov’s Intuitionistic Fuzzy Sets Based on Mapping

  • Fang SuEmail author
  • Jing Li
  • Dongxuan Xiao
  • Chengrui Duan
Conference paper
Part of the Advances in Intelligent Systems and Computing book series (AISC, volume 1074)

Abstract

A new trapezoidal approximation of Atanassov’s intuitionistic fuzzy sets (AIFSs) and a new distance measure between AIFSs based on the area relations of membership function graphs of their corresponding trapezoidal fuzzy sets are proposed. By the conversion from Atanassov’s intuitionistic fuzzy numbers (AIFNs) to trapezoidal fuzzy numbers, the measurement of distance between AIFSs can be transformed into the calculation of area relations of the corresponding trapezoidal fuzzy sets. Then the new distance measurement can integrate continuous information rather than only taking discrete variables into consideration as before. The main innovation of our distance is that it can integrate comprehensive and continuous information in calculation instead of partial discrete variables, which can efficiently avoid information loss. The contrastive tests demonstrate the efficiency and practicality of the approach.

Keywords

Atanassov’s intuitionistic fuzzy sets Distance measure Trapezoidal fuzzy sets Pattern recognition Classification Similarity measures 

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Copyright information

© Springer Nature Switzerland AG 2020

Authors and Affiliations

  • Fang Su
    • 1
    Email author
  • Jing Li
    • 1
  • Dongxuan Xiao
    • 1
  • Chengrui Duan
    • 1
  1. 1.School of Information and Telecommunication EngineeringBeijing University of Posts and TelecommunicationBeijingChina

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