In this paper, we consider a simple preliminary-test estimation problem where the analyst's loss structure is represented by a ‘reflected Normal' penalty function. In particular we consider the estimation of the location parameter in a Normal sampling problem, where a preliminary test is...

This paper presents a new possibilistic programming approach to the portfolio selection problem. It is based on two issues: the approximation of the rates of return on securities by means of fuzzy numbers of trapezoidal form, for which we use the interval-valued ex-pectation defined by Dubois...

The purpose of this note is to present a reformulation of the model presented by Konno and Yamazaki (1991). In their paper, it was claimed that (under the assumption that there is no upper limit on the investment in an asset) the number of nonzero assets in the optimal portfolio is at most 2T +...