The mean chance of ultimate ruin time in random fuzzy insurance risk model
- 93 Downloads
In this paper, we study a modified risk model in which both the claim amount and premium are assumed to be random fuzzy variables. In this risk model, some new theorems concerning the mean chance of ultimate ruin time are proved in two cases where the initial surplus is zero and nonzero. Finally, a numerical example is mentioned to illustrate the method.
KeywordsRisk model Renewal process Random fuzzy variable Mean chance of ruin
Compliance with ethical standards
Conflict of interest
The authors declare that they have no conflict of interest.
This article does not contain any studies with human participants or animals performed by any of the authors.
- Andersen E (1957) On the collective theory of risk in case of contagion betten claims. Bull Inst Math Appl 12:275–279Google Scholar
- Gerber H (1979) An introduction to mathematical risk theory. Philadelphia: S. S. Heubner Foundation monograph series 8Google Scholar
- Huang T, Diao J (2010) Risk model in fuzzy random environments. In: Intelligent computing and intelligent systems (ICIS), 2010 IEEE international conferenceGoogle Scholar
- Huang T, Diao J, Wei Zh (2011) Inequality for mean chance of ultimate ruin in risk model with random fuzzy theory. In: Emergency management and management sciences (ICEMMS), 2nd IEEE international conferenceGoogle Scholar
- Huang T, Wei Z, Diao J (2011) Risk model with random fuzzy theory. In: The 13th IEEE joint international computer science and information technology conferenceGoogle Scholar
- Liu YK, Liu BD (2003) Expected value operator of random fuzzy variable and random fuzzy expected value models. Int J Uncertain Fuzziness Knowl Based Syst 11:195–215Google Scholar