Cui Wen-Hua, Ye Jun
Department of Electrical engineering and Automation, Shaoxing University, 508 Huancheng West Road, Shaoxing 312000, China.
Entropy (Basel). 2018 Nov 4;20(11):844. doi: 10.3390/e20110844.
In order to quantify the fuzziness in the simplified neutrosophic setting, this paper proposes a generalized distance-based entropy measure and a dimension root entropy measure of simplified neutrosophic sets (NSs) (containing interval-valued and single-valued NSs) and verifies their properties. Then, comparison with the existing relative interval-valued NS entropy measures through a numerical example is carried out to demonstrate the feasibility and rationality of the presented generalized distance-based entropy and dimension root entropy measures of simplified NSs. Lastly, a decision-making example is presented to illustrate their applicability, and then the decision results indicate that the presented entropy measures are effective and reasonable. Hence, this study enriches the simplified neutrosophic entropy theory and measure approaches.
为了量化简化中立型环境中的模糊性，本文提出了一种基于广义距离的熵测度和简化中立型集（包括区间值和单值中立型集）的维数根熵测度，并验证了它们的性质。然后，通过数值算例与现有的相对区间值中立型集熵测度进行比较，以证明所提出的基于广义距离的熵和简化中立型集的维数根熵测度的可行性和合理性。最后，给出了一个决策实例来说明它们的适用性，决策结果表明所提出的熵测度是有效且合理的。因此，本研究丰富了简化中立型熵理论和测度方法。
