Probabilistic fuzzy sets and a related operator algebra
INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, cilt.45, sa.4, ss.771-785, 2006 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 45 Sayı: 4
- Basım Tarihi: 2006
- Doi Numarası: 10.1007/s10773-006-9066-7
- Dergi Adı: INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.771-785
- Yıldız Teknik Üniversitesi Adresli: Evet
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.