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Record value based on intuitionistic fuzzy random variables

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  • Mohammad Ghasem Akbari
  • Gholamreza Hesamian

Abstract

This paper extends some basic concepts associated to record value based on intuitionistic fuzzy random variables. In this approach, αβ-values of intuituinistic fuzzy numbers are employed to construct intuitionistic fuzzy cumulative distribution function and its common estimator, an extended entropy and its estimator, intuitionistic fuzzy (upper) record value and its common estimator. Main property of the proposed concepts include large sample properties which are investigated in the space of intuitionistic fuzzy numbers. Some numerical examples are also illustrated to clarify the concepts and methods.

Suggested Citation

  • Mohammad Ghasem Akbari & Gholamreza Hesamian, 2017. "Record value based on intuitionistic fuzzy random variables," International Journal of Systems Science, Taylor & Francis Journals, vol. 48(15), pages 3305-3315, November.
    • Handle: RePEc:taf:tsysxx:v:48:y:2017:i:15:p:3305-3315
    DOI: 10.1080/00207721.2017.1381284
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    References listed on IDEAS

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    3. Bernhard Arnold, 1996. "An approach to fuzzy hypothesis testing," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 44(1), pages 119-126, December.
    4. Hryniewicz, Olgierd, 2006. "Goodman-Kruskal [gamma] measure of dependence for fuzzy ordered categorical data," Computational Statistics & Data Analysis, Elsevier, vol. 51(1), pages 323-334, November.
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