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Type-2 Fuzzy Initial Value Problems for Second-order T2FDEs

General Mathematics 2021-04-16 v2

Abstract

Type-2 fuzzy differential equations (T2FDEs) of order 1 are already known and the solution method of type-2 fuzzy initial value problems (T2FIVPs) for them was given by M. Mazandarani and M. Najariyan \cite{MN} in 2014. We give the solution method of second-order T2FIVPs in this paper. Furthermore, we would like to propose new notations for type-2 fuzzy theory where symbols tend to be complicated and misleading. In particular, the Hukuhara differential symbols introduced experimentally in this paper will give us clearler meanings and expressions.

Cite

@article{arxiv.2101.10324,
  title  = {Type-2 Fuzzy Initial Value Problems for Second-order T2FDEs},
  author = {Norihiro Someyama and Hiroaki Uesu and Kimiaki Shinkai and Shuya Kanagawa},
  journal= {arXiv preprint arXiv:2101.10324},
  year   = {2021}
}

Comments

27 pages, 7 figures

R2 v1 2026-06-23T22:30:43.730Z