Superiority of Proportional Fuzzy Sets to Decimal-Valued Fuzzy Set Extensions


Kahraman C., ÇEBİ S., Öztayşi B., Onar S. C.

7th International Conference on Intelligent and Fuzzy Systems, INFUS 2025, İstanbul, Türkiye, 29 - 31 Temmuz 2025, cilt.1528 LNNS, ss.327-340, (Tam Metin Bildiri) identifier

  • Yayın Türü: Bildiri / Tam Metin Bildiri
  • Cilt numarası: 1528 LNNS
  • Doi Numarası: 10.1007/978-3-031-97985-9_37
  • Basıldığı Şehir: İstanbul
  • Basıldığı Ülke: Türkiye
  • Sayfa Sayıları: ss.327-340
  • Anahtar Kelimeler: Decimal valued fuzzy sets, Proportional fuzzy sets, Proportional intuitionistic fuzzy sets, Proportional picture fuzzy sets
  • Yıldız Teknik Üniversitesi Adresli: Evet

Özet

Determination of membership, non-membership, and hesitancy degrees in the ordinary fuzzy sets and their extensions have not been sufficiently discussed in the literature. This study focusses on the ways of determining these degrees and tries to conclude which way is better than the others. We apply the same questionnaire to the participants of our experiment in four different days and want them to determine the membership degrees of the elements in the sets based on two different techniques. The aim of the experiment is to determine which way yields more stable degrees from the participants in different days.