Abstract
In the literature we find two different approaches to define entropies of AIFSs. On the one hand, Szmidt and Kacprzyk’s entropy measures how far is an AIFS from a crisp set; on the other hand, Burrillo and Bustince’s approach measures how far is an AIFS from a fuzzy set. In this work we use divergence measures to define both types of entropies. We also show the conditions that we must impose on the divergence to define entropy measures of AIFSs and use our results to build several examples.
Keywords
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Acknowledgment
The research in this communication has been supported in part by project MINECO-TIN2014-59543-P. Its financial support is gratefully acknowledged.
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Montes, I., Montes, S., Pal, N. (2018). On the Use of Divergences for Defining Entropies for Atanassov Intuitionistic Fuzzy Sets. In: Kacprzyk, J., Szmidt, E., Zadrożny, S., Atanassov, K., Krawczak, M. (eds) Advances in Fuzzy Logic and Technology 2017. EUSFLAT IWIFSGN 2017 2017. Advances in Intelligent Systems and Computing, vol 642. Springer, Cham. https://doi.org/10.1007/978-3-319-66824-6_49
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