Some generalization of Fuzzy Entropy measure and its applications.

Abstract

This thesis represents only a small section of the different issue and topics that I was involved since 2010. Yet, it shows one of the consequences of my engagements during the past few years. Over these years, I had the historical opportunity to read and witness the rise and the fall of the important theories and results that are cited in this study and my involvements in these topics became a part of my whole academic life. Fuzzy SetTheory has come a long way since it was formally introduced by L.A. Zadeh in his classic paper entitled ‘Fuzzy Sets’ published in the journal ‘information and Control’ in the year 1965. Since that time the subject has been applied to every branch of knowledge. Many research investigations by mathematicians, scientists and social scientists, computer and management scientists and engineers all over the world have been made in the theory and applications of the subject. Applications of fuzzy logic and fuzzy set theory in decision-making, Pattern recognition, Image processing, Control systems, Neural networks, Genetic algorithm and in many other areas has given significant results.Digital copy of ThesisUniversity of Kashmir