Title  Computing the Risk Indicators in Fuzzy Systems 

Authors  Georgescu, Irina 
External publication  No 
Means  J. Inf. Technol. Res. 
Scope  Article 
Nature  Científica 
SJR Quartile  4 
SJR Impact  0.11000 
Area  International 
Publication date  01/10/2012 
ISI  000214721100005 
Scopus Id  2s2.084878034854 
DOI  10.4018/jitr.2012100105 
Abstract  The modeling of complex risk situations imposes the existence of multiple ways to represent the risk and compare the risk situations between them. In probabilistic models, risk is described by random variables and risk situations are compared by stochastic dominance. In possibilistic or credibilistic models, risk is represented by fuzzy variables. This paper concerns three indicators of dominance associated with fuzzy variables. This allows the definition of three notions of fuzzy dominance: dominance in possibility, dominance in necessity and dominance in credibility. These three types of dominance are possibilistic and credibilistic versions of stochastic dominance. Each type offers a modality of ranking risk situations modeled by fuzzy variables. In the paper some properties of the three indicators of dominance are proved and relations between the three types of fuzzy dominance are established. For triangular fuzzy numbers formulas for the computation of these indicators are obtained. The paper also contains a contribution on a theory of risk aversion in the context of credibility theory. Using the credibilistic expected utility a notion of risk premium is defined as a measure of risk aversion of an agent in front of a risk situation described by a fuzzy variable and an approximate calculation formula of this indicator is proved. 
Keywords  Credibilistic Computation of Risk Aversion; Credibilistic Risk Premium; Fuzzy Dominance; Fuzzy Variable; Risk in Fuzzy Systems; Stochastic Dominance 
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