Approach to fuzziness measuring

In this paper an approach to information quantitative measuring is offered. This information is given as a fuzzy number. It is a particular case of the fuzzy set which is defined by a membership function. It should be noted that this function is determined on the basis of some segment on the set of real numbers. Therefore, a problem changes into construction of the fuzzy number membership function. Quasiconcave membership functions of fuzzy numbers are most frequently used in economic and social problems. For this type of fuzzy numbers this paper provides an algorithm of the fuzzy numbers' membership function construction according to the expert's opinion. The algorithm is based on a segment sequential localization procedure. The fuzzy number membership function is defined by means of this segment using the expert opinion. This procedure is similar to the procedure of extremum seeking of the quasiconcave function through the instrumentality of the sequential measurements of its values. Two ways of such localization have been examined.