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Book
Applying fuzzy mathematics to formal models in comparative politics
Author:
ISBN: 9783540774600 3540774602 3540774610 Year: 2008 Publisher: Berlin, Germany : Springer,

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Abstract

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.

Beyond Post-communist Studies
Author:
ISBN: 1315498723 1315498731 1315498715 9781315498720 9781315498713 0765609800 9781315498737 9781315498706 9780765609809 9780765609816 0765609819 Year: 2016 Publisher: Taylor and Francis

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Unity or separation : center-periphery relations in the former Soviet Union
Authors: ---
ISBN: 0275973069 9780313074820 0313074828 9780275970116 0275970116 9780275973063 0275970116 Year: 2002 Publisher: Westport, Conn. : Praeger,


Book
Linear Models in the Mathematics of Uncertainty
Authors: --- --- --- ---
ISBN: 3642352235 3642352243 Year: 2013 Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer,

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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.  .


Digital
Applying Fuzzy Mathematics to Formal Models in Comparative Politics
Authors: --- --- --- ---
ISBN: 9783540774617 Year: 2008 Publisher: Berlin, Heidelberg Springer-Verlag Berlin Heidelberg


Digital
Linear Models in the Mathematics of Uncertainty
Authors: --- --- --- ---
ISBN: 9783642352249 Year: 2013 Publisher: Berlin, Heidelberg Springer

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Abstract

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.  .


Book
Applying Fuzzy Mathematics to Formal Models in Comparative Politics
Authors: --- --- --- --- --- et al.
ISBN: 9783540774617 Year: 2008 Publisher: Berlin Heidelberg Springer Berlin Heidelberg

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Abstract

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.


Book
Fuzzy set theory
Authors: --- --- --- --- --- et al.
ISBN: 1529747635 Year: 2020 Publisher: London : SAGE Publications Ltd.,

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Abstract

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.

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