Measurement-theoretic frameworks for fuzzy set theory


BİLGİÇ T., Türkşen I. B.

Workshop on Fuzzy Logic in Artificial Intelligence, IJCAI 1995, Montreal, Kanada, 19 - 21 Ağustos 1995, cilt.1188, ss.252-265, (Tam Metin Bildiri)

  • Yayın Türü: Bildiri / Tam Metin Bildiri
  • Cilt numarası: 1188
  • Doi Numarası: 10.1007/3-540-62474-0_19
  • Basıldığı Şehir: Montreal
  • Basıldığı Ülke: Kanada
  • Sayfa Sayıları: ss.252-265
  • Boğaziçi Üniversitesi Adresli: Evet

Özet

Two different but related measurement problems are considered within the fuzzy set theory. The first problem is the membership measurement find the second is property ranking. These two measurement problems are combined and two axiomatizations of fuzzy set theory are obtained. In the first one, the indifference is transitive but in the second one this drawback is removed by utilizing interval orders.