TITLE:
Arithmetic Operations of Generalized Trapezoidal Picture Fuzzy Numbers by Vertex Method
AUTHORS:
Mohammad Kamrul Hasan, Abeda Sultana, Nirmal Kanti Mitra
KEYWORDS:
Picture Fuzzy Set, Generalized Trapezoidal Picture Fuzzy Number, (α, γ, β)-Cut, Arithmetic Operations, Vertex Method
JOURNAL NAME:
American Journal of Computational Mathematics,
Vol.13 No.1,
March
17,
2023
ABSTRACT: In this article,
we define the arithmetic operations of generalized trapezoidal picture fuzzy numbers
by vertex method which is assembled on a combination of the (α, γ, β)-cut concept and standard interval analysis.
Various related properties are explored. Finally, some computations of picture fuzzy
functions over generalized picture fuzzy variables are illustrated by using our
proposed technique.