Arithmetic Operations of Generalized Trapezoidal Picture Fuzzy Numbers by Vertex Method

作     者：Mohammad Kamrul Hasan Abeda Sultana Nirmal Kanti Mitra Mohammad Kamrul Hasan;Abeda Sultana;Nirmal Kanti Mitra

作者机构：Department of Mathematics Jahangirnagar University Savar Bangladesh Department of Mathematics and Statistics Bangladesh University of Business and Technology Dhaka Bangladesh 

出 版 物：《American Journal of Computational Mathematics》 (美国计算数学期刊（英文）)

年 卷 期：2023年第13卷第1期

页      面：99-121页

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

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

摘      要：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.