A Vector Valued Similarity Measure Based on the Choquet Integral for Intuitionistic Fuzzy Sets and Its Application to Pattern Recognition

Türkarslan E., ÜNVER M., OLGUN M.

International Conference on Intelligent and Fuzzy Systems, INFUS 2021, İstanbul, Türkiye, 24 - 26 Ağustos 2021, cilt.308, ss.84-92 identifier

  • Yayın Türü: Bildiri / Tam Metin Bildiri
  • Cilt numarası: 308
  • Doi Numarası: 10.1007/978-3-030-85577-2_10
  • Basıldığı Şehir: İstanbul
  • Basıldığı Ülke: Türkiye
  • Sayfa Sayıları: ss.84-92
  • Anahtar Kelimeler: Choquet integral, Fuzzy measure, Pattern recognition, Similarity measure, Uncertainty measure
  • Ankara Üniversitesi Adresli: Evet

Özet

© 2022, The Author(s), under exclusive license to Springer Nature Switzerland AG.The concept of Choquet integral that a special ordered weighted averaging operator (OWA) is an aggregation function and it generalizes the concepts of arithmetic and the weighted mean. This concept allows us to model interaction between criteria with the help of a fuzzy measure. Our aim is to combine fuzzy set theory and fuzzy measure theory by using the concept of Choquet integral. In this study, we propose a vector valued similarity measure for intuitionistic fuzzy sets (IFSs) based on the Choquet integral. This vector valued similarity measure consists of a pair of a similarity measure which is obtained from a distance measure for IFSs and an uncertainty measure. In this context, we provide a more effective tool by introducing the interaction between criteria with the help of fuzzy measure. Finally, we support the efficiency of our work with explanatory numerical examples.