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This book explores the intersection of fuzzy mathematics and the spatial modeling of preferences in political science. Beginning with a critique of conventional modeling approaches predicated on Cantor set theoretical assumptions, the authors outline the potential benefits of a fuzzy approach to the study of ambiguous or uncertain preference profiles. While crisp models assume that ambiguity is a form of confusion emerging from imperfect information about policy options, the authors argue instead that some level of ambiguity is innate in human preferences and social interaction. What fuzzy mathematics offers the researcher, then, is a precise tool with which he can model the inherently imprecise dimensions of nuanced empirical reality. Moving beyond the limited treatment fuzzy methodologies have received in extant political science literature, this book develops single- and multidimensional models of fuzzy preference landscapes and characterizes the surprisingly high levels of stability that emerge from interactions between players operating within these models. The material presented makes it a good text for a graduate seminar in formal modeling. It is also suitable as an introductory text in fuzzy mathematics for graduate and advanced undergraduate students.
Political science --- Fuzzy mathematics. --- Science politique --- Mathématiques floues --- Mathematical models. --- Modèles mathématiques --- Fuzzy mathematics --- Applied Mathematics --- Political Science Theory --- Civil Engineering --- Engineering & Applied Sciences --- Political Science --- Civil & Environmental Engineering --- Law, Politics & Government --- Mathematical models --- Mathematics. --- Political science. --- Artificial intelligence. --- Applied mathematics. --- Engineering mathematics. --- Applications of Mathematics. --- Appl.Mathematics/Computational Methods of Engineering. --- Artificial Intelligence (incl. Robotics). --- Political Science. --- Mathematical and Computational Engineering. --- Artificial Intelligence. --- Engineering --- Engineering analysis --- Mathematical analysis --- Administration --- Civil government --- Commonwealth, The --- Government --- Political theory --- Political thought --- Politics --- Science, Political --- Social sciences --- State, The --- Math --- Science --- AI (Artificial intelligence) --- Artificial thinking --- Electronic brains --- Intellectronics --- Intelligence, Artificial --- Intelligent machines --- Machine intelligence --- Thinking, Artificial --- Bionics --- Cognitive science --- Digital computer simulation --- Electronic data processing --- Logic machines --- Machine theory --- Self-organizing systems --- Simulation methods --- Fifth generation computers --- Neural computers --- Mathematics
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New democracies --- Post-communism. --- Political science --- Postcommunism --- World politics --- Communism --- Countries, Newly democratic --- Democracies, New --- Democratic states, New --- Emerging democracies --- Nations, Newly democratic --- New democratic states --- Newly democratic states --- States, Newly democratic --- Democracy --- Democratization --- Newly independent states --- Study and teaching. --- Europe, Eastern --- East Europe --- Eastern Europe --- Politics and government --- Research. --- Post-communism --- Démocratie --- Démocratisation --- Postcommunisme --- Science politique --- Study and teaching --- Etude et enseignement --- Europe de l'Est --- Research --- Politique et gouvernement --- Recherche --- -#SBIB:328H27 --- #SBIB:324H20 --- #SBIB:321H60 --- Democratic consolidation --- Democratic transition --- Self-government --- Equality --- Representative government and representation --- Republics --- Administration --- Civil government --- Commonwealth, The --- Government --- Political theory --- Political thought --- Politics --- Science, Political --- Social sciences --- State, The --- Instellingen en beleid: Midden- en Centraal Europa: algemeen --- Politologie: theorieën (democratie, comparatieve studieën….) --- Westerse politieke en sociale theorieën vanaf de 19e eeuw: socialisme, marxisme, communisme, anarchisme --- -Research. --- -Study and teaching
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Central-local government relations --- Federal government --- Center-periphery government relations --- Local-central government relations --- Local government-central government relations --- Political science --- Decentralization in government --- Russia (Federation) --- Ethnic relations.
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The purpose of this book is to present new mathematical techniques for modeling global issues. These mathematical techniques are used to determine linear equations between a dependent variable and one or more independent variables in cases where standard techniques such as linear regression are not suitable. In this book, we examine cases where the number of data points is small (effects of nuclear warfare), where the experiment is not repeatable (the breakup of the former Soviet Union), and where the data is derived from expert opinion (how conservative is a political party). In all these cases the data is difficult to measure and an assumption of randomness and/or statistical validity is questionable. We apply our methods to real world issues in international relations such as nuclear deterrence, smart power, and cooperative threat reduction. We next apply our methods to issues in comparative politics such as successful democratization, quality of life, economic freedom, political stability, and failed states. Finally, issues involving deaf and hard of hearing children are explored. .
Fuzzy sets --- Uncertainty (Information theory) --- Linear models (Statistics) --- Engineering & Applied Sciences --- Computer Science --- Mathematical models --- Models, Linear (Statistics) --- Measure of uncertainty (Information theory) --- Shannon's measure of uncertainty --- System uncertainty --- Sets, Fuzzy --- Engineering. --- Computational intelligence. --- Computational Intelligence. --- Fuzzy sets. --- Mathematical models. --- Fuzzy mathematics --- Set theory --- Mathematical statistics --- Statistics --- Information measurement --- Probabilities --- Questions and answers --- Construction --- Industrial arts --- Technology --- Intelligence, Computational --- Artificial intelligence --- Soft computing
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The purpose of this book is to present new mathematical techniques for modeling global issues. These mathematical techniques are used to determine linear equations between a dependent variable and one or more independent variables in cases where standard techniques such as linear regression are not suitable. In this book, we examine cases where the number of data points is small (effects of nuclear warfare), where the experiment is not repeatable (the breakup of the former Soviet Union), and where the data is derived from expert opinion (how conservative is a political party). In all these cases the data is difficult to measure and an assumption of randomness and/or statistical validity is questionable. We apply our methods to real world issues in international relations such as nuclear deterrence, smart power, and cooperative threat reduction. We next apply our methods to issues in comparative politics such as successful democratization, quality of life, economic freedom, political stability, and failed states. Finally, issues involving deaf and hard of hearing children are explored. .
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This book explores the intersection of fuzzy mathematics and the spatial modeling of preferences in political science. Beginning with a critique of conventional modeling approaches predicated on Cantor set theoretical assumptions, the authors outline the potential benefits of a fuzzy approach to the study of ambiguous or uncertain preference profiles. While crisp models assume that ambiguity is a form of confusion emerging from imperfect information about policy options, the authors argue instead that some level of ambiguity is innate in human preferences and social interaction. What fuzzy mathematics offers the researcher, then, is a precise tool with which he can model the inherently imprecise dimensions of nuanced empirical reality. Moving beyond the limited treatment fuzzy methodologies have received in extant political science literature, this book develops single- and multidimensional models of fuzzy preference landscapes and characterizes the surprisingly high levels of stability that emerge from interactions between players operating within these models. The material presented makes it a good text for a graduate seminar in formal modeling. It is also suitable as an introductory text in fuzzy mathematics for graduate and advanced undergraduate students.
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Fuzzy set theory is a mathematical method that allows users to consider concepts that are subject to degree-vagueness between boundaries of full membership and nonmembership. An example might be the idea of development of a nation, the degree of constitutional control in a government, or a person's understanding of a linguistic number such as "Ba few" or "Bcertain." This entry introduces the idea of a fuzzy set as well as the operations on fuzzy sets using examples taken from the literature. It pays particular attention to challenges of interpreting and measurement of membership and between-set comparisons. It concludes with a review of selected applications of fuzzy sets in psychology, political science, and sociology.
Anthropology. --- Business and Management. --- Communication and Media Studies.
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