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 newlineinvolved since 2010 Yet it shows one of the consequences of my engagements newlineduring the past few years Over these years I had the historical opportunity to read newlineand 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 newlinelife newlineFuzzy SetTheory has come a long way since it was formally introduced by newlineL A Zadeh in his classic paper entitled Fuzzy Sets published in the journal newlineinformation and Control in the year 1965 Since that time the subject has been newlineapplied to every branch of knowledge Many research investigations by newlinemathematicians scientists and social scientists computer and management scientists newlineand engineers all over the world have been made in the theory and applications of the newlinesubject Applications of fuzzy logic and fuzzy set theory in decision making Pattern newlinerecognition Image processing Control systems Neural networks Genetic algorithm newlineand in many other areas has given significant results newlineMuch work has been done on this branch of Information theory and statistics It has newlineacquired a great currency in various research journals of statistics and mathematics In newlinethis light I compiled my thesis on the topic Some Generalizations of Fuzzy Entropy newlineMeasure and its Applications newline newline