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A Fuzzy Approach for Solving a Three-Level Linear Programming Problem with Neutrosophic Parameters in the Objective Functions and Constraints |
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PP: 677-686 |
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doi:10.18576/jsap/100307
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Author(s) |
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O. E. Emam,
Manal A. Abdel-Fattah,
Safaa.M. Azzam,
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Abstract |
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| The most widely used actions taken and decisions made in real-world tasks frequently appear as hierarchical systems. The multi-level programming problem is the technique that most often used to address these systems; however, in practical situations, some decisions and performance are imprecise. Neutrosophic sets provide a vital role by considering three independent degrees, specifically, the truth membership degree, the indeterminacy-membership degree, and the falsity membership degree, of every aspect of uncertain decisions. This study focuses on solving neutrosophic multi-level linear programming problems with neutrosophic parameters in the objective functions and constraints. The neutrosophic form of the problem transformed into an equal crisp model in the first stage of the solution methodology to reduce the problem’s complexity. In the second stage, a Fuzzy approach is used to obtain the optimal solution among conflicted decision levels.
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