Probabilistic fuzzy sets and a related operator algebra
INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, vol.45, no.4, pp.771-785, 2006 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 45 Issue: 4
- Publication Date: 2006
- Doi Number: 10.1007/s10773-006-9066-7
- Journal Name: INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Page Numbers: pp.771-785
- Yıldız Technical University Affiliated: Yes
Abstract
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.