In this paper the extension of stochastic dominance to an imprecise frame work are discussed in fuzzy nature. Also stochastic dominance between sets of fuzzy Probabilities can be studied by means of a P-box representation. The extension of pair of sets of distribution function by means of fuzzy random variables has been carried out.
| Published in | International Journal of Management and Fuzzy Systems (Volume 3, Issue 1) |
| DOI | 10.11648/j.ijmfs.20170301.12 |
| Page(s) | 10-14 |
| Creative Commons |
This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited. |
| Copyright |
Copyright © The Author(s), 2017. Published by Science Publishing Group |
Fuzzy Distribution Function, Stochastic Dominance, Imprecise Stochastic Dominance, Fuzzy Random Variable, Probability Boxes
| [1] | Artzner, P. H Delbaen, F Eber, J. M and Heath. H. Coherent measures of risk, Mathematical Finance, 9:203-228, 1999. |
| [2] | Atkinson. A. On the measurement of poverty, Econometrica, 55:749-764,1987. |
| [3] | Bawa. V. S. Optimal rules for ordering uncertain prospects, Journal of Financial Economics, 2 (1): 95-121, 1975. |
| [4] | Berger. J. O. Statistical Decision Theory and Bayesian Analysis, Springer-Verlag, NewYork, 1985. |
| [5] | Choquet. G. Theory of capacities, Annales de l'Institut Fourier, 5:131-295, 1953-1954. |
| [6] | Denoeux. T. Extending stochastic ordering to belief functions on the real line, Information Sciences, 179: 1362-1376, 2009. |
| [7] | Denuit, M Dhaene, JGoovaerts, M and Kaas. R. Actuarial theory for dependent risks, John Wiley and Sons, 2005. |
| [8] | Fuchs F and Neumaier. A Potential based clouds in robust design optimization, Journal of Statistical Theory and Practice, 3 (1): 225-238, 2008. |
| [9] | Goovaerts, M. JKaas, R. Van Heerwaarden, A. E and Bauwelinckx. T EffectiveActuarial Methods, North Holland, 1990. |
| [10] | Gilboa I and Schmeidler. D. Maxmin expected utility with a non-uniquePrior, Journal of Mathematical Economics, 18:141-153, 1989. |
| [11] | Islam. M and Braden. J Bio-economics development of floodplains: Farming versus fishing in Bangladesh, Environment and Development Economics, 11 (1): 95-126, 2006. |
| [12] | Ignacio Montes, Enrique Miranda, Susan Montes. Stochastic dominance with imprecise information, Elsevier, 15: 1-31, 2012. |
| [13] | Krätschmer. V When fuzzy measures are upper envelopes of probability measures. Fuzzy Sets and Systems, 138: 455-468, 2003. |
| [14] | Levy. H. Stochastic dominance, Kluwer Academic Publishers, 1998. |
| [15] | Müller A and Stoyan. D Comparison Methods for Stochastic Models and Risks, Wiley, 2002. |
| [16] | Satia J. K andLave. R. E. Markovian decision processes with uncertain transition probabilities, Operations Research, 21: 728-740, 1973. |
| [17] | Noyan, NRudolf, G and Ruszczynski. A Relaxations of linear programming problems with first order stochastic dominance constrains, Operations Research L, 34: 653-659, 2006. |
| [18] | Shaked M and Shanthikumar. J. G. Stochastic Orders and their applications. Springer, 2006. |
APA Style
Daniel Rajan, Dhanabal Vijayabalan. (2017). A New Approach on Imprecise Stochastic Orders of Fuzzy Random Variables. International Journal of Management and Fuzzy Systems, 3(1), 10-14. https://doi.org/10.11648/j.ijmfs.20170301.12
ACS Style
Daniel Rajan; Dhanabal Vijayabalan. A New Approach on Imprecise Stochastic Orders of Fuzzy Random Variables. Int. J. Manag. Fuzzy Syst. 2017, 3(1), 10-14. doi: 10.11648/j.ijmfs.20170301.12
AMA Style
Daniel Rajan, Dhanabal Vijayabalan. A New Approach on Imprecise Stochastic Orders of Fuzzy Random Variables. Int J Manag Fuzzy Syst. 2017;3(1):10-14. doi: 10.11648/j.ijmfs.20170301.12
Share This Article
Twitter
Linked In
Facebook
Copy
Download@article{10.11648/j.ijmfs.20170301.12,
author = {Daniel Rajan and Dhanabal Vijayabalan},
title = {A New Approach on Imprecise Stochastic Orders of Fuzzy Random Variables},
journal = {International Journal of Management and Fuzzy Systems},
volume = {3},
number = {1},
pages = {10-14},
doi = {10.11648/j.ijmfs.20170301.12},
url = {https://doi.org/10.11648/j.ijmfs.20170301.12},
eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ijmfs.20170301.12},
abstract = {In this paper the extension of stochastic dominance to an imprecise frame work are discussed in fuzzy nature. Also stochastic dominance between sets of fuzzy Probabilities can be studied by means of a P-box representation. The extension of pair of sets of distribution function by means of fuzzy random variables has been carried out.},
year = {2017}
}
TY - JOUR T1 - A New Approach on Imprecise Stochastic Orders of Fuzzy Random Variables AU - Daniel Rajan AU - Dhanabal Vijayabalan Y1 - 2017/03/17 PY - 2017 N1 - https://doi.org/10.11648/j.ijmfs.20170301.12 DO - 10.11648/j.ijmfs.20170301.12 T2 - International Journal of Management and Fuzzy Systems JF - International Journal of Management and Fuzzy Systems JO - International Journal of Management and Fuzzy Systems SP - 10 EP - 14 PB - Science Publishing Group SN - 2575-4947 UR - https://doi.org/10.11648/j.ijmfs.20170301.12 AB - In this paper the extension of stochastic dominance to an imprecise frame work are discussed in fuzzy nature. Also stochastic dominance between sets of fuzzy Probabilities can be studied by means of a P-box representation. The extension of pair of sets of distribution function by means of fuzzy random variables has been carried out. VL - 3 IS - 1 ER -
Information
Email: