# Soft Statistics with Respect to Utility and Application to Human Trafficking

*Santanu Acharjee* and
*John N. Mordeson* ()

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Santanu Acharjee: Economics and Computational Rationality Group, Department of Mathematics, Debraj Roy College, Golaghat 785621, Assam, India

John N. Mordeson: Center for Mathematics of Uncertainty, Department of Mathematics, Creighton University, Omaha, Nebraska, USA

*New Mathematics and Natural Computation (NMNC)*, 2017, vol. 13, issue 03, 289-310

**Abstract:**
It is well known that statistics deals with quantitative analysis. Thus, there is a lack of approach to do quantitative analysis in the presence of qualitative attributes. Soft set theory has the freedom to deal with attributes, [0, 1], etc. along with quantity. Thus, we introduce some fundamental ideas of soft statistics.Here, soft mean, soft standard deviation, soft coefficient of variation, soft correlation coefficient are introduced and some theorems are proved with respect to utility. Utility theory provides an analysis of choice behavior. As an application of our notions and results, we find soft correlation coefficients between vulnerability and government responses of various regions across the world. The data from “The Global Slavery Index 2016” are considered for application purposes.

**Keywords:** Uncertainty; soft set; soft statistics; utility theory; vulnerability; human trafficking (search for similar items in EconPapers)

**Date:** 2017

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