On some generalised information measure of fuzzy directed divergence and decision making

The discrepancy of a probability distribution from another probability distribution is known as the measure of divergence. Kullback and Liebler (1951) were the first to introduce and based on Shannon (1948) entropy which revolutionaries the study of communication theory. Fuzziness, a feature of uncertainty can be managed with the help of fuzzy set theory proposed by Zadeh (1978). Fuzziness and uncertainty both deals with various practical problems such as image segmentation, management decision making problems etc. Large amount of work has been done on characterisation of various entropies, divergence measures, fuzzy entropies and fuzzy divergence etc. Bhandari and Pal (1993) introduced fuzzy divergence which is relative to a fuzzy set A and to another fuzzy set B. A new measure of fuzzy directed divergence has been proposed. Further, applications of fuzzy directed divergence in decision making has also been discussed.