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Alikhani, R. and Bahrami, F. (2019) Fuzzy Partial Differential Equations under the Cross Product of Fuzzy Numbers. Information Sciences, 494, 80-99. https://doi.org/10.1016/j.ins.2019.04.030

has been cited by the following article:

• TITLE: Indefinite Cross Divisions of Vectors in Natural Space

  AUTHORS: Jixing Wang, Lan Cheng

  KEYWORDS: Cross Product, Indefinite Cross Division, Indefinite Cross Quotient, Left Indefinite Cross Division, Vector Quotient

  JOURNAL NAME: Open Access Library Journal, Vol.9 No.11, November 30, 2022

  ABSTRACT: In this paper, in order to solve the problem that cross product has no corresponding division in natural space, indefinite cross divisions are firstly introduced as the inverse operations of cross products, which solve the problem from another angle. Then a lot of basic properties of indefinite cross divisions are obtained, such as the Conversion Formulas between left and right indefinite cross quotients, and linear operation properties, where some are expected and some are special. Especially, the geometric expressions of indefinite cross divisions are presented so that their structures are provided. Finally, some important coordinate formulas and corresponding examples on indefinite cross divisions are presented.