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Abstract
In this article, a new fuzzy entropy measure of order α is proposed. The fuzzy entropy axiomatic requirements are discussed for the new measure, and an empirical comparison are made with several entropy measures including Shannon, Rényi and Kapur. It turns out, the proposed measure satisfies all axiomatic and outperform the other entropy measures in terms of the fuzziness degree.
Keywords
Fuzzy sets
Fuzzy Entropy
Entropy axiomatic
Shannon Entropy
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Copyright © 2018 Pakistan Journal of Statistics and Operation Research
Creative Commons Attribution 4.0 International (CC BY 4.0)
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How to Cite
Al-Talib, M., & Al-Nasser, A. (2018). New Fuzzy Entropy Measure of Order α. Pakistan Journal of Statistics and Operation Research, 14(4), 831-838. https://doi.org/10.18187/pjsor.v14i4.2501