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Some fuzzy stochastic orderings for fuzzy random variables

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Abstract

A new approach to stochastic ordering of fuzzy random variables is investigated in this paper. The traditional definitions of stochastic ordering, hazard rate ordering, and also mean residual life ordering were extended and proposed the unified indexes to ranking fuzzy random variables. Finally, we study the stochastic ordering of fuzzy order statistics by using our proposed approach and established some properties.

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Authors and Affiliations

  1. Department of Statistics, Ordered and Spatial Data Center of Excellence, Faculty of Mathematical Science, Ferdowsi University of Mashhad, Mashhad, Iran

    R. Zarei, M. Amini & A. H. Rezaei Roknabadi

  2. Department of Statistics, Faculty of Sciences, University of Birjand, Southern Khorasan, Birjand, Iran

    M. G. Akbari

Authors
  1. R. Zarei
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  2. M. Amini
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  3. A. H. Rezaei Roknabadi
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  4. M. G. Akbari
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Correspondence to M. Amini.

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Zarei, R., Amini, M., Roknabadi, A.H.R. et al. Some fuzzy stochastic orderings for fuzzy random variables. Fuzzy Optim Decis Making 11, 209–225 (2012). https://doi.org/10.1007/s10700-012-9121-1

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  • DOI: https://doi.org/10.1007/s10700-012-9121-1

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