Description and Properties of Curve-Based Monotone Functions
Curve-based monotonicity is one of the lately introduced relaxations of monotonicity. As directional monotonicity regards monotonicity along fixed rays, which are given by real vectors, curve-based monotonicity studies the increase of functions with respect to a general curve \(\alpha \). In this work we study some theoretical properties of this type of monotonicity and we relate this concept with previous relaxations of monotonicity.
KeywordsCurve-based monotonicity Weak monotonicity Directional monotonicity Aggregation function
This work is supported by the research group FQM268 of Junta de Andalucía, by the project TIN2016-77356-P (AEI/FEDER, UE), by the Slovak Scientific Grant Agency VEGA no. 1/0093/17 Identification of risk factors and their impact on products of the insurance and savings schemes, by Slovak grant APVV-14-0013, and by Czech Project LQ1602 “IT4Innovations excellence in science”.
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