A Scalar Expected Value of Intuitionistic Fuzzy Random Individuals and Its Application to Risk Evaluation in Insurance Companies

المؤلفون المشاركون

Li, Chunquan
Jin, Jianhua

المصدر

Mathematical Problems in Engineering

العدد

المجلد 2018، العدد 2018 (31 ديسمبر/كانون الأول 2018)، ص ص. 1-16، 16ص.

الناشر

Hindawi Publishing Corporation

تاريخ النشر

2018-04-17

دولة النشر

مصر

عدد الصفحات

16

التخصصات الرئيسية

هندسة مدنية

الملخص EN

Randomness and uncertainty always coexist in complex systems such as decision-making and risk evaluation systems in the real world.

Intuitionistic fuzzy random variables, as a natural extension of fuzzy and random variables, may be a useful tool to characterize some high-uncertainty phenomena.

This paper presents a scalar expected value operator of intuitionistic fuzzy random variables and then discusses some properties concerning the measurability of intuitionistic fuzzy random variables.

In addition, a risk model based on intuitionistic fuzzy random individual claim amount in insurance companies is established, in which the claim number process is regarded as a Poisson process.

The mean chance of the ultimate ruin is investigated in detail.

In particular, the expressions of the mean chance of the ultimate ruin are presented in the cases of zero initial surplus and arbitrary initial surplus, respectively, if individual claim amount is an exponentially distributed intuitionistic fuzzy random variable.

Finally, two illustrated examples are provided.

نمط استشهاد جمعية علماء النفس الأمريكية (APA)

Li, Chunquan& Jin, Jianhua. 2018. A Scalar Expected Value of Intuitionistic Fuzzy Random Individuals and Its Application to Risk Evaluation in Insurance Companies. Mathematical Problems in Engineering،Vol. 2018, no. 2018, pp.1-16.
https://search.emarefa.net/detail/BIM-1209273

نمط استشهاد الجمعية الأمريكية للغات الحديثة (MLA)

Li, Chunquan& Jin, Jianhua. A Scalar Expected Value of Intuitionistic Fuzzy Random Individuals and Its Application to Risk Evaluation in Insurance Companies. Mathematical Problems in Engineering No. 2018 (2018), pp.1-16.
https://search.emarefa.net/detail/BIM-1209273

نمط استشهاد الجمعية الطبية الأمريكية (AMA)

Li, Chunquan& Jin, Jianhua. A Scalar Expected Value of Intuitionistic Fuzzy Random Individuals and Its Application to Risk Evaluation in Insurance Companies. Mathematical Problems in Engineering. 2018. Vol. 2018, no. 2018, pp.1-16.
https://search.emarefa.net/detail/BIM-1209273

نوع البيانات

مقالات

لغة النص

الإنجليزية

الملاحظات

Includes bibliographical references

رقم السجل

BIM-1209273