10.30495/fomj.2023.1994693.1110

Arithmetic Operations of Generalized Triangular Picture Fuzzy Numbers with Applications

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  • Mohammad Hasan*1,
  • Abeda Sultana2,
  • Nirmal Mitra3,
  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

Revised: 2023-08-23

Accepted: 2023-11-14

Published in Issue 2023-12-01

How to Cite

Hasan, M., Sultana, A., & Mitra, N. (2023). Arithmetic Operations of Generalized Triangular Picture Fuzzy Numbers with Applications. Fuzzy Optimization and Modeling Journal (FOMJ), 4(4), 49-69. https://doi.org/10.30495/fomj.2023.1994693.1110
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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.
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