Abstract The classical credibility theory is a cornerstone of experience rating, especially in the field property and casualty insurance. An obstacle to putting into practice conversion available prior information precise choice crucial hyperparameters. In most real-world applications, necessary justify lacking, so we propose an imprecise estimator that honestly acknowledges imprecision hyperpa...

This survey of actuarial credibility theory traces its origins, describes its evolutionary history, gives an account of its main issues and results, and assesses its merits with a view to related work in statistical science. Key-words: Experience rating, limited fluctuation theory, greatest accuracy theory, Bayes, linear Bayes, empirical Bayes, hierarchical models, Hilbert space methods, recurs...

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In insurance, credibility theory (CT) is used to develop a weighted average of the claims experience of an individual contract and the experience for the whole portfolio, where the weight factor is the credibility attached to the individual experience. Recently, Liu and Liu (2002) and Liu (2007), in the study of the behavior of fuzzy phenomena, formulated an alternate version of credibility the...

This paper suggests  a novel approach for ranking the most applicable fuzzy numbers, i.e.  $LR$-fuzzy numbers. Applying the  $alpha$-optimistic values of a fuzzy number, a preference criterion is proposed for ranking fuzzy numbers using the Credibility index. The main properties of the proposed  preference criterion  are also studied.  Moreover, the proposed method is   applied for ranking fuzz...

using greedy clustering method to solve capacitated location-routing problem with fuzzy demands abstract in this paper, the capacitated location routing problem with fuzzy demands (clrp_fd) is considered. in clrp_fd, facility location problem (flp) and vehicle routing problem (vrp) are observed simultaneously. indeed the vehicles and the depots have a predefined capacity to serve the customerst...

Credibility is an old yet modern topic. It has a particular significance in the current trend of market economy. However, China is facing a serious crisis of credibility nowadays. This paper proposes the suggestion of building credibility system in China from legal perspective.