A new method for the solution of fully fuzzy linear programming models

In this study, we first show that the existing arithmetic operations of trapezoidal fuzzy numbers do not satisfy the basic properties. Then, for trapezoidal fuzzy numbers, we define new arithmetic operations. Furthermore, we demonstrate that the existing Simplex method for addressing fully fuzzy lin...

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Bibliographic Details
Published in:Computational & applied mathematics Vol. 41; no. 1
Main Authors: Akram, Muhammad, Ullah, Inayat, Allahviranloo, Tofigh
Format: Journal Article
Language:English
Published: Cham Springer International Publishing 01.02.2022
Springer Nature B.V
Subjects:
Applications of Mathematics
Applied physics
Arithmetic
Computational mathematics
Computational Mathematics and Numerical Analysis
Linear programming
Mathematical Applications in Computer Science
Mathematical Applications in the Physical Sciences
Mathematics
Mathematics and Statistics
Simplex method
Fuzzy linear programming
Arithmetic operations
90C05
Trapezoidal fuzzy numbers
90C70
ISSN:2238-3603, 1807-0302
Online Access:Get full text
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Summary:In this study, we first show that the existing arithmetic operations of trapezoidal fuzzy numbers do not satisfy the basic properties. Then, for trapezoidal fuzzy numbers, we define new arithmetic operations. Furthermore, we demonstrate that the existing Simplex method for addressing fully fuzzy linear programming problems has some drawbacks. Finally, we provide a new strategy for solving fully fuzzy linear programming problems and compare our results with the existing methods.
Bibliography:ObjectType-Article-1
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ISSN:2238-3603
1807-0302
DOI:10.1007/s40314-021-01756-4