THE SPACE OF LINEARLY CORRELATED FUZZY NUMBER

  • Hoang Thi Phuong Thao
Keywords: Linearly correlated fuzzy number, Fréchet derivative, LC derivative, Fréchet Caputo derivative, Fréchet Riemann-Liouville derivative and Fréchet Caputo-Fabrizio derivative

Abstract

This article introduces the space of linearly correlated fuzzy number
( ) A
. It is a subspace of the space of fuzzy numbers. we first review the algebraic operations on ( ) A
defined mean of linear isomorphism between 2 and ( ) A
provided that  is
a non-symmetric fuzzy number. Second, we present a quotient set 2
/
A by defining an appropriate equivalence relation on
when A is a symmetric fuzzy number. After that, we will introduce some types of Fréchet derivative defined on the class of linear correlated
fuzzy-valued functions namely Fréchet derivative and LC derivative . That allows us to introduce three types of Fréchet fractional derivatives, which are Fréchet Caputo derivative, Fréchet Riemann-Liouville derivative and Fréchet Caputo-Fabrizio derivative.

điểm /   đánh giá
Published
2022-11-11
Issue
No. 53 (2021)
Section
CONTENTS