Advances in Fuzzy Systems (Jan 2018)

Quaternionic Serret-Frenet Frames for Fuzzy Split Quaternion Numbers

  • Cansel Yormaz,
  • Simge Simsek,
  • Serife Naz Elmas

DOI
https://doi.org/10.1155/2018/7215049
Journal volume & issue
Vol. 2018

Abstract

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We build the concept of fuzzy split quaternion numbers of a natural extension of fuzzy real numbers in this study. Then, we give some differential geometric properties of this fuzzy quaternion. Moreover, we construct the Frenet frame for fuzzy split quaternions. We investigate Serret-Frenet derivation formulas by using fuzzy quaternion numbers.