Symmetry (Jul 2019)

The Three-Way Decisions Method Based on Theory of Reliability with SV-Triangular Neutrosophic Numbers

  • Xiang Li,
  • Xianjiu Huang

DOI
https://doi.org/10.3390/sym11070888
Journal volume & issue
Vol. 11, no. 7
p. 888

Abstract

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Three-way decisions, as a decision-making mode which is consistent with human cognition, have been widely used in various fields. In this paper, we fuse the theory of reliability into the three-way decisions method, replace the conditional probability in the three-way decisions method with reliability, and then propose a novel three-way decisions method. We also describe the loss functions with single-valued triangular neutrosophic numbers (SVTNNs) and propose an operator to calculate the score function of triangular neutrosophic numbers. Then, the result of decision is attained according to the principle of minimizing loss. Finally, we apply this method to the overhaul of machines in a factory, which proves the practicability and effectiveness of the proposed methods.

Keywords