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In classical statistics, the first- and second-order statistics, i.e., the mean and standard deviation, are the most important ones. This paper extends the definition of the standard deviation and makes it possible to compute the standard deviation when data contains not only numbers, but also words. The generalized standard deviation is called the Linguistic Weighted Standard Deviation (LWSD). The...
A value-at-risk portfolio selection model to maximize not only the expected daily geometric return but also value-at-risk is discussed. The analytical solutions of the value-at-risk portfolio problem are derived. From the analytical results, this paper gives formulae to show the explicit relations among the following important parameters in portfolio: Value-at-risk, the expected daily geometric return,...
Numerous ontological or semantic similarity measures have been proposed to determine how similar one concept is to another within the context of an ontology. These measures are shown to have as their basis fuzzy set compatibility measures and have been used in a variety of biomedical and bioinformatics applications. In this paper a new matcher, the mediating matcher with semantic similarity (MMSS),...
One of the main methods for eliciting the values of the membership function ε(x) is to use the Likert scales, i.e., to ask the user to mark his or her degree of certainty by an appropriate mark k on a scale from 0 to n and take ε(x) = k=n. In this paper, we show how to describe this process in terms of the traditional decision making. Our conclusion is that the resulting membership degrees incorporate...
Due to the huge product assortments and complex descriptions of telecom products, it is a great challenge for customers to select appropriate products. A fuzzy tree similarity based hybrid recommendation approach is proposed to solve this issue. In this study, fuzzy techniques are used to deal with the various uncertainties existing within the product and customer data. A fuzzy tree similarity measure...
This paper aims to study the correlation between intuitionistic fuzzy sets obtained as image of intuitionistic fuzzy t-norms and t-conorms. We consider the action of automorphisms and the class of strong fuzzy negations in order to verify the conditions under which the correlation coefficient related to such fuzzy connectives and their corresponding conjugate and dual constructions are obtained. We...
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