Probabilistic fuzzy sets and a related operator algebra


ARIK M., Aydin F.

INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, cilt.45, ss.771-785, 2006 (SCI İndekslerine Giren Dergi)

  • Cilt numarası: 45 Konu: 4
  • Basım Tarihi: 2006
  • Doi Numarası: 10.1007/s10773-006-9066-7
  • Dergi Adı: INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS
  • Sayfa Sayısı: ss.771-785

Özet

The rules of union and intersection of probabilistic fuzzy sets guided us to construct a related operator algebra. In a Hilbert space, where each fuzzy set is represented by an orthonormal vector, the union and the intersection operators generate a well-defined algebra with a unique representation.