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Blackwell type theorem for general T-related and identically distributed fuzzy variables

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  • Dug Hun Hong

    (Myongji University)

Abstract

In this paper, we define a fuzzy variable $$N(t+c) \circleddash N(t)$$ N ( t + c ) ⊝ N ( t ) using $$\alpha -$$ α - cut representation and consider a necessary and sufficient condition of the Blackwell type theorem based on the Hausdorff metric for general T-related and identically distributed fuzzy variables. We also take into consideration the derived fuzzy Blackwell’s Theorem based on the expected value of fuzzy variables.

Suggested Citation

  • Dug Hun Hong, 2016. "Blackwell type theorem for general T-related and identically distributed fuzzy variables," Fuzzy Optimization and Decision Making, Springer, vol. 15(4), pages 397-413, December.
    • Handle: RePEc:spr:fuzodm:v:15:y:2016:i:4:d:10.1007_s10700-016-9234-z
    DOI: 10.1007/s10700-016-9234-z
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    References listed on IDEAS

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    1. Zhao, Ruiqing & Tang, Wansheng & Yun, Huaili, 2006. "Random fuzzy renewal process," European Journal of Operational Research, Elsevier, vol. 169(1), pages 189-201, February.
    2. Popova, Elmira & Wu, Hsien-Chung, 1999. "Renewal reward processes with fuzzy rewards and their applications to T-age replacement policies," European Journal of Operational Research, Elsevier, vol. 117(3), pages 606-617, September.
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