International Journal of Management and Fuzzy Systems

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A New Approach on Imprecise Stochastic Orders of Fuzzy Random Variables

Received: 06 December 2016    Accepted: 26 December 2016    Published: 17 March 2017
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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.

DOI 10.11648/j.ijmfs.20170301.12
Published in International Journal of Management and Fuzzy Systems (Volume 3, Issue 1, February 2017)
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), 2024. Published by Science Publishing Group

Keywords

Fuzzy Distribution Function, Stochastic Dominance, Imprecise Stochastic Dominance, Fuzzy Random Variable, Probability Boxes

References
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[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.
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Author Information
  • Department of Mathematics, Tranquebar Bishop Manickam Lutheran College, Porayar, South India

  • Full-Time Research Scholor, Department of Mathematics, Tranquebar Bishop Manickam Lutheran College, Porayar, South India

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    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

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    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

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    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

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  • @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://download.sciencepg.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}
    }
    

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