SciELO - Scientific Electronic Library Online

 
vol.37 número4Fekete-Szego problem for certain analytic functions defined by q−derivative operator with respect to symmetric and conjugate pointsA new type of difference operator Δ 3 on triple sequence spaces índice de autoresíndice de materiabúsqueda de artículos
Home Pagelista alfabética de revistas  

Servicios Personalizados

Revista

Articulo

Indicadores

Links relacionados

  • En proceso de indezaciónCitado por Google
  • No hay articulos similaresSimilares en SciELO
  • En proceso de indezaciónSimilares en Google

Compartir


Proyecciones (Antofagasta)

versión impresa ISSN 0716-0917

Proyecciones (Antofagasta) vol.37 no.4 Antofagasta dic. 2018

http://dx.doi.org/10.4067/S0716-09172018000400637 

Articles

Fuzzy soft attribute correlation coefficient and application to data of human trafficking

Santanu Acharjee1 

Diganta Jyoti Sarma2 

Robert A. Hanneman3 

John N. Mordeson4 

Davender S. Malik5 

1 Debraj Roy College, Economics and Computational Rationality Group, Department of Mathematics, Golaghat-785621, Assam, India, e-mail: sacharjee326@gmail.com

2 Central Institute of Technology, Department of Mathematics, BTAD, Kokrajhar-783370, Assam, India, e-mail: dj.sarma@cit.ac.in

3 University of California, Department of Sociology, Riverside California-92521 U. S. A., e-mail: hanneman@ucr.edu

4 Creighton University, Center for Mathematics of Uncertainty, Department of Mathematics, Omaha, Nebraska, U. S. A., e-mail: JohnMordeson@creighton.edu

5 Creighton University, Center for Mathematics of Uncertainty, Department of Mathematics, Omaha, Nebraska, U. S. A., e-mail: DavenderMalik@creighton.edu

Abstract

In this paper, we introduce fuzzy soft attribute correlation coefficient and apply it to find the correlation between vulnerability government response of various countries related to human trafficking based on six regions with the help of data from “The Global Slavery Index 2016”. Comparison of fuzzy soft attribute correlation coefficients is done with the conventional analysis of sociology by calculating Pearson’s zero-order product-moment correlations. Along with these, some fundamental concepts of mathematical statistics are developed with respect to fuzzy soft set.

Keywords: Fuzzy soft set; correlation coefficient; α-cut; soft set; vulnerability; human trafficking

Texto completo disponible sólo en PDF.

Full text available only in PDF format.

References

[1] S. Acharjee and J. N. Mordeson , Soft statistics with respect to utility and application to human trafficking, New Math. Nat. Comput. 13(03), pp. 289-310, (2017). [ Links ]

[2] N. Çağman, S. Karataş and S. Enginoglu, Soft topology, Comput. Math. Appl., 62, pp. 351-358, (2011). [ Links ]

[3] D. Chen, The parametrization reduction of soft sets and its application, Comput. Math. Appl. , 49, pp. 757-763, (2005). [ Links ]

[4] http://www.globalslaveryindex.org/, The Global Slavery index, (2016). [ Links ]

[5] https://www.unodc.org/unodc/en/human-trafficking/what-is-human-trafficking.html, United Nations Office on Drug and Crime [ Links ]

[6] Y. Leung, A fuzzy set analysis of sociometric structure, Jour. Math. Socio. 7, pp. 159-180, (1980). [ Links ]

[7] H. Li and Y. Shen, Similarity measures of fuzzy soft sets based on different distances, Fifth Int. Symp. Comput. Intel. and Design, pp. 527- 529, (2012). [ Links ]

[8] S. Li, Measuring the fuzziness of human thoughts: an application of fuzzy sets to sociological research, Jour. Math. Socio. 14(1), pp. 67-84, (1989). [ Links ]

[9] P. K. Maji, R. Biswas and A. R. Roy , Fuzzy soft sets, Jour. Fuzzy Math. 9(3), pp. 589-602, (2001). [ Links ]

[10] P. K. Maji, R. Biswas and A. R. Roy, Soft set theory, Comput. Math. Appl. 45, pp. 555-562, (2003). [ Links ]

[11] P. Majumdar and S. K. Samanta , On similarity measures of fuzzy soft sets, Int. Jour. Adv. Soft. Comput. Appl. 3(2), 8 pages, (2011). [ Links ]

[12] D.Molodtsov, Soft set theory-first results, Comput. Math. Appl. 37, pp. 19-31,(1999). [ Links ]

[13] J. N. Mordeson, M. Mallenby, S. Mathew and S. Acharjee, Human trafficking: Policy intervention, New Math. Nat. Comput. 13(03), pp. 341-358, (2017). [ Links ]

[14] D. Pei and D. Miao, From soft sets to information systems, Proceedings of the IEEE international conference on granular computing, 2, pp. 617-621, (2005). [ Links ]

[15] Trafficking in Persons: Global Patterns, United Nations Office on Drugs and Crime, Trafficking in Persons Citation Index. [ Links ]

[16] Z. Xiao and Y. Zou, A comparative study of soft sets with fuzzy sets and rough sets, Jour. Intel. Fuzzy Syst. 27, pp. 425-434, (2014). [ Links ]

[17] L. A. Zadeh, Fuzzy sets, Inform. Control. 8(3), pp. 338-353, (1965). [ Links ]

Received: January 2018; Accepted: April 2018

Creative Commons License This is an open-access article distributed under the terms of the Creative Commons Attribution License