QUANTIFYING NON-MONOTONICITY OF FUNCTIONS AND THE LACK OF POSITIVITY IN SIGNED MEASURES

Quantifying non-monotonicity of functions and the lack of positivity in signed measures

Quantifying non-monotonicity of functions and the lack of positivity in signed measures

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In various research areas related to decision here making, problems and their solutions frequently rely on certain functions being monotonic.In the case of non-monotonic functions, one would then wish to quantify their lack of monotonicity.In this paper we develop a method designed specifically for this task, including quantification of the lack of positivity, negativity, or sign-constancy in signed measures.We note relevant applications in Insurance, Finance, and ice blue graphic tee Economics, and discuss some of them in detail.

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