Linear intensification of probabilistic fuzzy partitions

Fuzziness of fuzzy sets can be reduced by intensification (sharpening) of large membership grades closer to one and small membership grades closer to zero. The relationship between intensification and partial defuzzification of a special type of fuzzy sets, fuzzy clusters, is studied. Some guidelines for assessment of the degree of possible defuzzification of a probabilistic fuzzy partition are suggested. An operator of linear intensification of fuzzy clusters is proposed and illustrated with examples. It is shown how different goals of partial defuzzification can be achieved by modification of this operator.