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A General Theory of Entropy: Fuzzy Rational Foundations of InformationKnowledge Certainty (Studies in Fuzziness and Soft Comput,Used
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This book presents an epistemic framework for dealing with informationknowledge and certaintyuncertainty problems within the space of qualityquantity dualities. It bridges between theoretical concepts of entropy and entropy measurements, proposing the concept and measurement of fuzzystochastic entropy that is applicable to all areas of knowing under human cognitive limitations over the epistemological space. The book builds on two previous monographs by the same author concerning theories of infostatics and infodynamics, to deal with identification and transformation problems respectively. The theoretical framework is developed by using the toolboxes such as those of the principle of opposites, systems of actualpotential polarities and negativepositive dualities, under different costbenefit timestructures. The category theory and the fuzzy paradigm of thought, under methodological constructionismreductionism duality, are used in the fuzzystochastic and costbenefit spaces to point to directions of global application in knowing, knowledge and decisionchoice actions. Thus, the book is concerned with a general theory of entropy, showing how the fuzzy paradigm of thought is developed to deal with the problems of qualitativequantitative uncertainties over the fuzzystochastic space, which will be applicable to conditions of softhard data, fact, evidence and knowledge over the spaces of problemsolution dualities, decisionchoice actions in sciences, nonsciences, engineering and planning sciences to abstract acceptable informationknowledge elements.
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