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Random fuzzy renewal process
Institution:1. Institute of Solid Mechanics, Beihang University, Beijing 100191, PR China;2. Faculty of Mechanical Engineering & Mechanics, Ningbo University, Ningbo, Zhejiang 315211, PR China
Abstract:This paper attempts to discuss a random fuzzy renewal process based on random fuzzy theory. The interarrival times are characterized as nonnegative random fuzzy variables which is a more reasonable consideration in the real world. Under this setting, the rate of the random fuzzy renewal process is discussed and a random fuzzy elementary renewal theorem is presented. Furthermore, the expected value of renewals in an arbitrary interval is investigated and Blackwell’s theorem in random fuzzy sense is also established.
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