Fuzziness and Foundations of Exact and Inexact Sciences
Fuzziness and Foundations of Exact and Inexact Sciences

Author: Kofi Kissi Dompere

Publisher: Springer

Published: 2012-08-23

Total Pages: 191

ISBN-13: 3642311229

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The monograph is an examination of the fuzzy rational foundations of the structure of exact and inexact sciences over the epistemological space which is distinguished from the ontological space. It is thus concerned with the demarcation problem. It examines exact science and its critique of inexact science. The role of fuzzy rationality in these examinations is presented. The driving force of the discussions is the nature of the information that connects the cognitive relational structure of the epistemological space to the ontological space for knowing. The knowing action is undertaken by decision-choice agents who must process information to derive exact-inexact or true-false conclusions. The information processing is done with a paradigm and laws of thought that constitute the input-output machine. The nature of the paradigm selected depends on the nature of the information structure that is taken as input of the thought processing. Generally, the information structure received from the ontological space is defective from the simple principles of acquaintances and the limitations of cognitive agents operating in the epistemological space. How then do we arrive and claim exactness in our knowledge-production system? The general conclusion of this book is that the conditions of the fuzzy paradigm with its laws of thought and mathematics present a methodological unity of exact and inexact sciences where every zone of thought has fuzzy covering.

The Theory of the Knowledge Square: The Fuzzy Rational Foundations of the Knowledge-Production Systems
The Theory of the Knowledge Square: The Fuzzy Rational Foundations of the Knowledge-Production Systems

Author: Kofi Kissi Dompere

Publisher: Springer

Published: 2012-08-28

Total Pages: 232

ISBN-13: 3642311199

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The monograph is about a meta-theory of knowledge-production process and the logical pathway that connects the epistemic possibility to the epistemic reality. It examines the general conditions of paradigms for information processing and isolates the classical and fuzzy paradigms for comparative analysis. The sets of conditions that give rise to them are defined, stated and analyzed to abstract the corresponding sets of laws of thought. The fuzzy paradigm with its corresponding logic and mathematics is related to inexact symbolism for the defective information structure where the results of the knowledge production must satisfy the epistemic conditionality, composed of fuzzy conditionality and fuzzy-stochastic conditionality under the principle of logical duality with continuum. The classical paradigm with its corresponding logic and mathematics is related to exact symbolism for exact information structure where the vagueness component of the defectiveness is assumed away, and where the results of the knowledge production must satisfy no epistemic conditionality or at the maximum only the stochastic conditionality under the principle of logical dualism with excluded middle. It is argued that the epistemic path that links ontological space to the epistemological space is information. The ontological space is taken as the primary category of reality while the epistemological space is shone to be a derivative. Such information is universally defective and together with assumptions imposed guides the development of paradigms with their laws of thought, logic of reasoning, mathematics and computational techniques. The relational structure is seen in terms of logical trinity with a given example as matter-information-energy transformational trinity which is supported by the time trinity of past-present-future relationality. The book is written for professionals, researchers and students working in philosophy of science, decision-choice theories, economies, sciences, computer science, engineering, cognitive psychology and researchers working on, or interested in fuzzy paradigm, fuzzy logic, fuzzy decisions, and phenomena of vagueness and ambiguities, fuzzy mathematics, fuzzy-stochastic processes and theory of knowledge. It is further aimed at research institutions and libraries. The subject matter belongs to extensive research and development taking place on fuzzy phenomena and the debate between the fuzzy paradigm and the classical paradigm relative to informatics, synergetic science and complexity theory. The book will have a global appeal and across disciplines. Its strength, besides the contents, is the special effort that is undertaken to make it relevant and accessible to different areas of sciences and knowledge production.

The Theory of Info-Dynamics: Rational Foundations of Information-Knowledge Dynamics
The Theory of Info-Dynamics: Rational Foundations of Information-Knowledge Dynamics

Author: Kofi K. Dompere

Publisher: Springer

Published: 2017-12-06

Total Pages: 208

ISBN-13: 331963853X

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This book focuses on the development of a theory of info-dynamics to support the theory of info-statics in the general theory of information. It establishes the rational foundations of information dynamics and how these foundations relate to the general socio-natural dynamics from the primary to the derived categories in the universal existence and from the potential to the actual in the ontological space. It also shows how these foundations relate to the general socio-natural dynamics from the potential to the possible to give rise to the possibility space with possibilistic thinking; from the possible to the probable to give rise to possibility space with probabilistic thinking; and from the probable to the actual to give rise to the space of knowledge with paradigms of thought in the epistemological space. The theory is developed to explain the general dynamics through various transformations in quality-quantity space in relation to the nature of information flows at each variety transformation. The theory explains the past-present-future connectivity of the evolving information structure in a manner that illuminates the transformation problem and its solution in the never-ending information production within matter-energy space under socio-natural technologies to connect the theory of info-statics, which in turn presents explanations to the transformation problem and its solution. The theoretical framework is developed with analytical tools based on the principle of opposites, systems of actual-potential polarities, negative-positive dualities under different time-structures with the use of category theory, fuzzy paradigm of thought and game theory in the fuzzy-stochastic cost-benefit space. The rational foundations are enhanced with categorial analytics. The value of the theory of info-dynamics is demonstrated in the explanatory and prescriptive structures of the transformations of varieties and categorial varieties at each point of time and over time from parent–offspring sequences. It constitutes a general explanation of dynamics of information-knowledge production through info-processes and info-processors induced by a socio-natural infinite set of technologies in the construction–destruction space.

The Theory of Info-Statics: Conceptual Foundations of Information and Knowledge
The Theory of Info-Statics: Conceptual Foundations of Information and Knowledge

Author: Kofi K. Dompere

Publisher: Springer

Published: 2017-07-06

Total Pages: 213

ISBN-13: 3319616390

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This book discusses the development of a theory of info-statics as a sub-theory of the general theory of information. It describes the factors required to establish a definition of the concept of information that fixes the applicable boundaries of the phenomenon of information, its linguistic structure and scientific applications. The book establishes the definitional foundations of information and how the concepts of uncertainty, data, fact, evidence and evidential things are sequential derivatives of information as the primary category, which is a property of matter and energy. The sub-definitions are extended to include the concepts of possibility, probability, expectation, anticipation, surprise, discounting, forecasting, prediction and the nature of past-present-future information structures. It shows that the factors required to define the concept of information are those that allow differences and similarities to be established among universal objects over the ontological and epistemological spaces in terms of varieties and identities. These factors are characteristic and signal dispositions on the basis of which general definitional foundations are developed to construct the general information definition (GID). The book then demonstrates that this definition is applicable to all types of information over the ontological and epistemological spaces. It also defines the concepts of uncertainty, data, fact, evidence and knowledge based on the GID. Lastly, it uses set-theoretic analytics to enhance the definitional foundations, and shows the value of the theory of info-statics to establish varieties and categorial varieties at every point of time and thus initializes the construct of the theory of info-dynamics.

The Theory of Problem-Solution Dualities and Polarities
The Theory of Problem-Solution Dualities and Polarities

Author: Kofi Kissi Dompere

Publisher: Springer Nature

Published: 2022-04-25

Total Pages: 333

ISBN-13: 303090279X

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This book is concerned with the development of the understanding of the relational structures of information, knowledge, decision–choice processes of problems and solutions in the theory and practice regarding diversity and unity principles of knowing, science, non-science, and information–knowledge systems through dualistic-polar conditions of variety existence and nonexistence. It is a continuation of the sequence of my epistemic works on the theories on fuzzy rationality, info-statics, info-dynamics, entropy, and their relational connectivity to information, language, knowing, knowledge, cognitive practices relative to variety identification–problem–solution dualities, variety transformation–problem–solution dualities, and variety certainty–uncertainty principle in all areas of knowing and human actions regarding general social transformations. It is also an economic–theoretic approach in understanding the diversity and unity of knowing and science through neuro-decision–choice actions over the space of problem–solution dualities and polarities. The problem–solution dualities are argued to connect all areas of knowing including science and non-science, social science, and non-social-science into unity with diversities under neuro-decision–choice actions to support human existence and nonexistence over the space of static–dynamic dualities. The concepts of diversity and unity are defined and explicated to connect to the tactics and strategies of decision–choice actions over the space of problem–solution dualities. The concepts of problem and solution are defined and explicated not in the space of absoluteness but rather in the space of relativity based on real cost–benefit conditions which are shown to be connected to the general parent–offspring infinite process, where every solution generates new problem(s) which then generates a search for new solutions within the space of minimum–maximum dualities in the decision–choice space under the principle of non-satiation over the space of preference–non-preference dualities with analytical tools drawn from the fuzzy paradigm of thought which connects the conditions of the principle of opposites to the conditions of neuro-decision–choice actions in the zone of variety identifications and transformations. The Monograph would be useful to all areas of Research, Learning and Teaching at Advanced Stages of Knowing and Knowledge Production.

Fuzziness, Democracy, Control and Collective Decision-choice System: A Theory on Political Economy of Rent-Seeking and Profit-Harvesting
Fuzziness, Democracy, Control and Collective Decision-choice System: A Theory on Political Economy of Rent-Seeking and Profit-Harvesting

Author: Kofi Kissi Dompere

Publisher: Springer Science & Business Media

Published: 2014-03-15

Total Pages: 273

ISBN-13: 3319053299

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This volume presents an analysis of the problems and solutions of the market mockery of the democratic collective decision-choice system with imperfect information structure composed of defective and deceptive structures using methods of fuzzy rationality. The book is devoted to the political economy of rent-seeking, rent-protection and rent-harvesting to enhance profits under democratic collective decision-choice systems. The toolbox used in the monograph consists of methods of fuzzy decision, approximate reasoning, negotiation games and fuzzy mathematics. The monograph further discusses the rent-seeking phenomenon in the Schumpeterian and Marxian political economies where the rent-seeking activities transform the qualitative character of the general capitalism into oligarchic socialism and making the democratic collective decision-choice system as an ideology rather than social calculus for resolving conflicts in preferences in the collective decision-choice space without violence.

Fuzzy TOPSIS
Fuzzy TOPSIS

Author: Mohamed El Alaoui

Publisher: CRC Press

Published: 2021-05-26

Total Pages: 217

ISBN-13: 1000385752

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This book aims to justify the use of fuzzy logic as a logic and as an uncertainty theory in the decision-making context. It also discusses the development of the TOPSIS method (Technique for Order of Preference by Similarity to Ideal Solution) with related examples and MATLAB codes. This is the first book devoted to TOPSIS and its fuzzy versions. It presents the use of fuzzy logic as a logic and as an uncertainty theory in the decision-making content and discusses the development of the TOPSIS method in classical and fuzzy context. The book justifies the use of fuzzy logic as an uncertainty theory and provides illustrative examples for each fuzzy TOPSIS extension, along with related MATLAB codes and case studies. This book is for industrial engineers, operations research engineers, systems engineers, and production engineers working in the areas of decision analysis, multi-criteria decision making, and multiple objective optimization.

Social Goal-Objective Formation, Democracy and National Interest
Social Goal-Objective Formation, Democracy and National Interest

Author: Kofi Kissi Dompere

Publisher: Springer Science & Business Media

Published: 2014-03-29

Total Pages: 254

ISBN-13: 3319051733

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This book presents the development of a theory of social goal-objective formation and its relationship to national interest and social vision under a democratic decision-choice system with imperfect information structure. It provides a framework for the application of fuzzy logic and its mathematics to the analysis in resolving conflicts in individual preferences in the collective decision-choice space without violence. The book demonstrates how to use fuzzy logic and its mathematics in the study of economics, social sciences and other complex systems. It also presents the use of collaborative tools of opposites, duality, polarity, continuum in fuzzy paradigm with its logic, laws of thought and mathematics in developing a new approach to the theory of political economy in order to enhance the constructs of social decision-choice theory.

Theory of Philosophical Consciencism
Theory of Philosophical Consciencism

Author: Dompere, Kofi Kissi

Publisher: Adonis and Abbey Publishers

Published: 2017-09-24

Total Pages: 462

ISBN-13: 1909112666

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In the Theory of Philosophical Consciencism, Professor Dompere establishes how Nkrumah used the theory of categorical conversion housing the necessary conditions of transformation to design strategies for creating the sufficient conditions for socio-political transformations. The theory of Philosophical Consciencism is about the institutionally destruction-creation process for socio-political transformation. The theory shows the scientific contributions of Nkrumah's thinking to the solution of the transformation problem in science and its application to social systemicity, where Nkrumah's analytical weapons were drawn from African conceptual system. The theory is developed as logico-mathematical foundations that guide the internal management of the command-control decision-choice systems for creative destruction of socio-political varieties in transformations through the development of qualitative mathematics making possible the construct of qualitative equations of motion for connecting varieties in qualitative transfers. The qualitative equations of motion through the Philosophical Consciencism constitute the sufficient conditions for transformations. The theory links rationality, intentionality, experiential information structure, defective-deceptive information structures in the control-dynamic games of power and dominance by the duals and poles under the principle of opposites with relational continua and unity relative to decision-choice systems that induce negation-negation transformations, where paths are established by the history of success-failure outcomes in the socially control-dynamic zero-sum games between the duals in any duality and between the poles of any actual-potential polarity. The main premise of the monograph is that there exists a set of sufficient conditions in support of the necessary conditions for internal transformation of socio-natural varieties. The theory is useful in understanding developmental processes and multi-polar-power zero-sum games for global dominance. The necessary conditions constitute the natural necessity that constrains cognitive freedom. The sufficient conditions constitute cognitive freedom that must overcome the necessity in socio-natural systems dynamics. Had this conceptual system been familiar to African leaders, the African transformation from colonialism to complete emancipation, rather than neocolonialism, would have been increasingly successful. This holds for those seeking triumph over injustices, oppression, imperialism and social change in all systems.