A General Theory of Entropy: Fuzzy Rational Foundations of Information-Knowledge Certainty

Description

This book presents an epistemic framework for dealing with information-knowledge and certainty-uncertainty problems within the space of quality-quantity dualities. It bridges between theoretical concepts of entropy and entropy measurements, proposing the concept and measurement of fuzzy-stochastic 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 info-statics and info-dynamics, 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 actual-potential polarities and negative-positive dualities, under different cost-benefit time-structures. The category theory and the fuzzy paradigm of thought, under methodological constructionism-reductionism duality, are used in the fuzzy-stochastic and cost-benefit spaces to point to directions of global application in knowing, knowledge and decision-choice 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 qualitative-quantitative uncertainties over the fuzzy-stochastic space, which will be applicable to conditions of soft-hard data, fact, evidence and knowledge over the spaces of problem-solution dualities, decision-choice actions in sciences, non-sciences, engineering and planning sciences to abstract acceptable information-knowledge elements. Front Matter ....Pages i-xliii The Relational Structure Between the General Information Definition and Entropy (Kofi Kissi Dompere)....Pages 1-28 Some Reflections on the Concept and the Measurement of Entropy in Information-Knowledge System (Kofi Kissi Dompere)....Pages 29-47 The Principle of Opposites, Epistemological Information and Paradigms of Thought (Kofi Kissi Dompere)....Pages 49-74 Information Measurement and Entropy in Information-Knowledge Certainty (Kofi Kissi Dompere)....Pages 75-101 Fuzzy-Paradigmatic Reflections on Possibility, Probability, Information Measurements and Entropy (Kofi Kissi Dompere)....Pages 103-122 The Fuzzy-Stochastic Entropy and the Concept of a Hybrid Measures of Uncertainty (Kofi Kissi Dompere)....Pages 123-147 Comparative Analytics: Fuzzy-Stochastic and Non-fuzzy-Stochastic Entropies (Kofi Kissi Dompere)....Pages 149-164 Some Simple Epistemic Reflections on Information, Knowledge and Entropy (Kofi Kissi Dompere)....Pages 165-188 Back Matter ....Pages 189-247