Metric properties of fuzzy curves and fuzzy invariants

SAĞIROĞLU Y., GÖZÜTOK U.

JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, cilt.37, sa.1, ss.1385-1397, 2019 (SCI-Expanded) identifier identifier

  • 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.