Abstract
In this work, we discuss a recent generalization of the classical notion of monotonicity, with a special focus on the idea of directional monotonicity. This idea leads to the concepts of pre-aggregation functions and of ordered directional monotonicity. For the former, the direction along which monotonicity is considered is the same for all the points of the domain and the same boundary conditions as for aggregation functions are imposed. For the latter, different directions of monotonicity may be considered at different points.
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Acknowledgment
The authors would like to thank research projects TIN2016-77356-P(AEI/FEDER, UE) and APVV-14-0013.
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Bustince, H. et al. (2018). A New Extension of Monotonicity: Ordered Directional Monotonicity. 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 641. Springer, Cham. https://doi.org/10.1007/978-3-319-66830-7_27
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DOI: https://doi.org/10.1007/978-3-319-66830-7_27
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