Arithmetic Operations of Generalized Triangular Picture Fuzzy Numbers with Applications

Subject Areas : Fuzzy Optimization and Modeling Journal

Mohammad Hasan ¹ , Abeda Sultana ² , Nirmal Mitra ³

1 - Department of Mathematics and Statistics, BUBT
2 - Department of Mathematics, Jahangirnagar University, Saver, Bangladesh
3 - Department of Mathematics and Statistics, Bangladesh University of Business and Technology, Dhaka, Bangladesh

Received: 2023-08-23 Accepted : 2023-11-14 Published : 2023-12-01

Keywords: Picture Fuzzy Set, Generalized Triangular Picture Fuzzy Number, Arithmetic Operations, Picture Fuzzy Linear Equations,

Abstract :

Picture fuzzy set is the generalization of intuitionistic fuzzy set as well as the fuzzy set considering the positive, neutral and negative membership functions of an element. In this article, we develop the arithmetic operations on generalized triangular picture fuzzy numbers by (α,γ,β)-cut method. Some related properties of them are explored. Finally, picture fuzzy linear equations are solved by using these arithmetic operations.