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Many ranking methods for fuzzy numbers have been proposed so far. However, there is yet no method that can always give a satisfactory solution to every situation. In this paper we propose a new method for ranking fuzzy numbers based on two different criteria, namely, the fuzzy mean and the fuzzy standard deviation. Finally we give some numerical examples to illustrate the proposed method and compare...
The possibilistic risk premium is defined in a possibilistic context, made by a utility function, a fuzzy number and a weighting function. This notion measures the aversion to the possibilistic risk. The main result is a Pratt-type theorem on the possibilistic risk aversion. This result, combined with the Pratt theorem leads to a surprising result: the aversion to the probabilistic risk is equivalent...
This paper is aimed to present a fuzzy decision making approach through combining fuzzy expert system and fuzzy entropy to deal with the supplier assessment and to encounter the uncertainty in this environment. Although decision making in supplier selection is unstructured and consisted of many criteria such as price, quality, delivery time, flexibility, and technical capability, in this paper, the...
In this paper, the characteristic index vectors, positive and negative ideal characteristic index vector of fuzzy numbers are defined, based on the characteristic quantity of fuzzy number.Then, the ranking index is proposed according to the given fuzzy numberpsilas linear weighted distance between characteristic index vector and positive /negative ideal characteristic index vector, respectively.Finally,...
Fuzzy linear regression model with crisp input, fuzzy output is investigated. A least absolute deviation approach, by introducing and applying a new metric on the space of fuzzy numbers, is developed. In addition, a new capability index is proposed to evaluate the proposed model.
Portfolio recommendation in stock market is complex, especially when the required data are vague. In order to evaluate the stocks and recommend the high priority of them to the customers, it is necessary to rank the stocks based on the criteria which is obtained from literature. Since in this paper the stocks score were presented by fuzzy number, fuzzy entropy method is used to calculate the stock...
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