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On Intuitionistic Fuzzy Entropy of Order-α

机译:α阶直觉模糊熵

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摘要

Using the idea of Renyi's entropy, intuitionistic fuzzy entropy of order-a is proposed in the setting of intuitionistic fuzzy sets theory. This measure is a generalized version of fuzzy entropy of brder-α proposed by Bhandari and Pal and intuitionistic fuzzy entropy defined by Vlachos and Sergiadis. Our study of the four essential and some other properties of the proposed measure dearly establishes the validity of the measure as intuitionistic fuzzy entropy. Finally, a numerical example is given to show that the proposed entropy measure for intuitionistic fuzzy set is reasonable by comparing it with other existing entropies.
机译:利用Renyi熵的思想,在直觉模糊集理论的背景下提出了阶-a的直觉模糊熵。该度量是Bhandari和Pal提出的brder-α模糊熵和Vlachos和Sergiadis定义的直觉模糊熵的广义形式。我们对拟议度量的四个基本属性和其他一些属性的研究极大地确立了度量作为直觉模糊熵的有效性。最后,通过数值算例表明,将直觉模糊集的熵测度与现有的其他熵进行比较是合理的。

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  • 来源
    《Advances in fuzzy systems》 |2014年第2014期|789890.1-789890.8|共8页
  • 作者

    Rajkumar Verma; BhuDev Sharma;

  • 作者单位

    Department of Applied Sciences, HMR Institute of Technology and Management, Guru Gobind Singh Indraprastha University, Hamidpur, Delhi-110036, India;

    Department of Mathematics, Jaypee Institute of Information Technology (Deemed University), A-10, Sector 62, Noida-201307, Uttar Pradesh, India;

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