The present book highlights developments of weighted measures of fuzzy entropy and finds its applications for the study of maximum weighted entropy and minimum weighted cross entropy principles. The main objective of the manuscript is to provide the knowledge of weighted information and will be helpful in disseminating knowledge to the benefit of Information Theoreticians, Statisticians, Management Scientists and Operational Researchers. The book presents new findings which will add to the knowledge of the scientific community for the furtherance of their research.