New Mathematics and Natural Computation
Volume 13, Issue 3, 2017, Pages 289-310

Soft Statistics with Respect to Utility and Application to Human Trafficking (Article)

Acharjee S.* , Mordeson J.N.
  • a Economics and Computational Rationality Group, Department of Mathematics, Debraj Roy College, Golaghat, Assam 785621, India
  • b Center for Mathematics of Uncertainty, Department of Mathematics, Creighton University, Omaha, NE, United States

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. © 2017 World Scientific Publishing Company.

Author Keywords

utility theory soft statistics Vulnerability Uncertainty Soft set Human trafficking

Index Keywords

[No Keywords available]

Link
https://www.scopus.com/inward/record.uri?eid=2-s2.0-85030248903&doi=10.1142%2fS1793005717400117&partnerID=40&md5=d500f77f6b727b64b5a316fc083a438c

DOI: 10.1142/S1793005717400117
ISSN: 17930057
Cited by: 5
Original Language: English