Arithmetic Operations of Generalized Triangular Picture Fuzzy Numbers with Applications

Fuzzy Optimization and Modeling Journal

مقاله 4، دوره 4، شماره 4، اسفند 2023، صفحه 49-69

نوع مقاله: Original Article

شناسه دیجیتال (DOI): 10.30495/fomj.2023.1994693.1110

نویسندگان

MOHAMMAD KAMRUL HASAN^{* 1}؛ ABEDA SULTANA²؛ Nirmal Kanti Mitra³

¹Department of Mathematics and Statistics, BUBT

²Department of Mathematics, Jahangirnagar University, Saver, Bangladesh

³Department of Mathematics and Statistics, Bangladesh University of Business and Technology, Dhaka, Bangladesh

چکیده

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.

کلیدواژه‌ها

Picture Fuzzy Set؛ Generalized Triangular Picture Fuzzy Number؛ Arithmetic Operations؛ Picture Fuzzy Linear Equations