Author(s)

Mohammad Kamrul Hasan^1,2*, Abeda Sultana¹, Nirmal Kanti Mitra²

¹Department of Mathematics, Jahangirnagar University, Savar, Bangladesh.
²Department of Mathematics and Statistics, Bangladesh University of Business and Technology, Dhaka, Bangladesh.

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.

Picture Fuzzy Set, Generalized Trapezoidal Picture Fuzzy Number, (α, γ, β)-Cut, Arithmetic Operations, Vertex Method

Hasan, M. , Sultana, A. and Mitra, N. (2023) Arithmetic Operations of Generalized Trapezoidal Picture Fuzzy Numbers by Vertex Method. American Journal of Computational Mathematics, 13, 99-121. doi: 10.4236/ajcm.2023.131004.