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Arithmetic Operations of Generalized Trapezoidal Picture Fuzzy Numbers by Vertex Method
Department of Mathematics, Jahangirnagar University, Savar, Bangladesh
Department of Mathematics, Jahangirnagar University, Savar, Bangladesh
Department of Mathematics and Statistics, Bangladesh University of Business and Technology, Dhaka, Bangladesh
- 1 Department of Mathematics, Jahangirnagar University, Savar, Bangladesh
- 2 Department of Mathematics, Jahangirnagar University, Savar, Bangladesh
- 3 Department of Mathematics and Statistics, Bangladesh University of Business and Technology, Dhaka, Bangladesh
American Journal of Computational Mathematics·Volume 13 (2023)·Pages 99–121·Published 9 January 2023·DOI10.4236/ajcm.2023.131004
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Abstract
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.
KeywordsPicture Fuzzy SetGeneralized Trapezoidal Picture Fuzzy Number(αγβ)-CutArithmetic OperationsVertex Method
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