Probabilistic fuzzy sets and a related operator algebra

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Atıf İçin Kopyala

ARIK M., Aydin F.

INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, cilt.45, sa.4, ss.771-785, 2006 (SCI-Expanded)

• 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.