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VIKOR method for decision-making problems based on Q-single-valued neutrosophic sets: law application

Document Type : Research Paper

Authors

1 Department of Mathematics, Kilis 7 Aralık University, Kilis 79000-Turkey.

2 Department of Law, Hasan Kalyoncu University, Gaziantep 27410, Turkey.

3 Department of Mathematics, Gaziantep University, Gaziantep 27310-Turkey.

Abstract

Different frameworks can be chosen to solve Multi-Criteria Decision-Making (MCDM) problems emerging in business, cyber environment, economy, health care, engineering and other areas. Uncertainty, vagueness and non-rigid boundaries of the initial information are frequently noticed when dealing with the practicalities of the MCDM tasks. Single-valued neutrosophic sets are considered as the effective tool to express uncertainty of the information, however in some cases it lacks the desirable generality and flexibility. The Q-single-valued neutrosophic sets were recently proposed to deal with this situation. Then, we develop a VIKOR method based on the Q-single-valued neutrosophic sets for novel MCDM method. In the decision-making framework, the proposed method is not only a way to solve the problem of MCDM, but also contains an important mathematical idea as a different solution approach. By applying this method to the real-life problem of cyber warfare, demonstrated the flexibility, effectiveness and feasibility of the proposed VIKOR method and compare the obtained results with the results of other existing methods.

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Journal of Fuzzy Extension and Applications
Volume 4, Issue 4
October 2023
Pages 310-326
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