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Application of decision making using generalized measure of fuzzy directed divergence

H. D. Arora, Anjali Dhiman
2015 Applied Mathematical Sciences  
A measure of directed divergence is defined as the discrepancy of the probability distribution P from another probability Q. Kullback and Leibler [5] obtained a quantitative measure of directed divergence of one probability distribution from another probability distribution. Bhandari, Pal and Majumder [2] introduced new measures of fuzzy divergence, indicated its application to clustering problems and also applied to an object extraction problem. Since there are non-exponential growth models,
more » ... al growth models, innovation diffusion models, epidemic models, a variety of models in Economics, Social Sciences, Biology and even in Physical Sciences, we need a variety of information measures for each field to extend the scope of their applications. Hence the development of new generalized parametric measures is necessary. One such measure of fuzzy divergence has been developed in this paper. The validity of the divergence measures is examined. Further, the applications of fuzzy directed divergence in decision making has been discussed. Mathematics Subject Classification -94A, 94D
doi:10.12988/ams.2015.54292 fatcat:tkybb6rkhbdn3js4lrbmzibby4