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Optimization is a field of interest to researchers working in various disciplines of mathematical sciences. In the present book, we have developed many mathematical models dealing with uncertain situations both for probabilistic and fuzzy distributions. These models give birth to new measures of probabilistic and fuzzy information. Moreover, we have obtained the optimum values for these models along with the existing ones and presented the results graphically. The present book will be a source of inspiration and help to information theoreticians who have been using fuzzy information in their research work and will serve as a source of ready reference for the scientific community.