Uniform convergence of fuzzy random renewal process |
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Authors: | Dug Hun Hong |
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Institution: | (1) School of Science, Tianjin University of Commerce, 300134 Tianjin, China;(2) Department of Computer Science, Aberystwyth University, Wales, SY23 3DB, UK;(3) Institute of Systems Engineering, Tianjin University, 300072 Tianjin, China |
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Abstract: | Recently, Zhao et al. (in Fuzzy Optimization and Decision Making 2007 6, 279–295) presented a fuzzy random elementary renewal
theorem and fuzzy random renewal reward theorem in the fuzzy random process. In this paper, we study the convergence of fuzzy
random renewal variable and of the total rewards earned by time t with respect to the extended Hausdorff metrics d
∞ and d
1. Using this convergence information and applying the uniform convergence theorem, we provide some new versions of the fuzzy
random elementary renewal theorem and the fuzzy random renewal reward theorem. |
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Keywords: | |
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