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In this paper, new α-order trigonometric and inverse trigonometric fuzzy entropies are proposed and the fuzzy entropy axiomatic requirements are satisfied for the new fuzzy entropies. A comparison of the new fuzzy entropies is done with several widely used fuzzy entropies in order to find the most fuzziness entropy. The results indicate that the new proposed α-order fuzzy entropy provides larger entropy value than that other fuzzy entropies which are defined.

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