Metric properties of fuzzy curves and fuzzy invariants
JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, cilt.37, sa.1, ss.1385-1397, 2019 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 37 Sayı: 1
- Basım Tarihi: 2019
- Doi Numarası: 10.3233/jifs-182805
- Dergi Adı: JOURNAL OF INTELLIGENT & FUZZY SYSTEMS
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.1385-1397
- Karadeniz Teknik Üniversitesi Adresli: Evet
Özet
Metric properties, i.e. properties which are invariant relative to the group E(3) of all Euclidean motions of the 3-dimensional Euclidean space of fuzzy curves are investigated in this paper. E(3)-equivalence of fuzzy curves is introduced. E(3)-equivalence of fuzzy curves is given in terms of fuzzy curvature and fuzzy torsion. All correlations between these fuzzy invariants of a fuzzy curve are described.