Fuzzy Social Choice Theory PDF Download
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| Author | : Michael B. Gibilisco |
| Publisher | : Springer |
| Total Pages | : 196 |
| Release | : 2014-02-24 |
| Genre | : Technology & Engineering |
| ISBN | : 3319051768 |
Download Fuzzy Social Choice Theory Book in PDF, ePub and Kindle
This book offers a comprehensive analysis of the social choice literature and shows, by applying fuzzy sets, how the use of fuzzy preferences, rather than that of strict ones, may affect the social choice theorems. To do this, the book explores the presupposition of rationality within the fuzzy framework and shows that the two conditions for rationality, completeness and transitivity, do exist with fuzzy preferences. Specifically, this book examines: the conditions under which a maximal set exists; the Arrow’s theorem; the Gibbard-Satterthwaite theorem and the median voter theorem. After showing that a non-empty maximal set does exists for fuzzy preference relations, this book goes on to demonstrating the existence of a fuzzy aggregation rule satisfying all five Arrowian conditions, including non-dictatorship. While the Gibbard-Satterthwaite theorem only considers individual fuzzy preferences, this work shows that both individuals and groups can choose alternatives to various degrees, resulting in a social choice that can be both strategy-proof and non-dictatorial. Moreover, the median voter theorem is shown to hold under strict fuzzy preferences but not under weak fuzzy preferences. By providing a standard model of fuzzy social choice and by drawing the necessary connections between the major theorems, this book fills an important gap in the current literature and encourages future empirical research in the field.
| Author | : John N. Mordeson |
| Publisher | : CRC Press |
| Total Pages | : 346 |
| Release | : 2015-03-03 |
| Genre | : Mathematics |
| ISBN | : 1482250993 |
Download Application of Fuzzy Logic to Social Choice Theory Book in PDF, ePub and Kindle
Fuzzy social choice theory is useful for modeling the uncertainty and imprecision prevalent in social life yet it has been scarcely applied and studied in the social sciences. Filling this gap, Application of Fuzzy Logic to Social Choice Theory provides a comprehensive study of fuzzy social choice theory.The book explains the concept of a fuzzy max
| Author | : Peter C. Casey |
| Publisher | : Springer |
| Total Pages | : 189 |
| Release | : 2014-06-20 |
| Genre | : Technology & Engineering |
| ISBN | : 3319082485 |
Download Fuzzy Social Choice Models Book in PDF, ePub and Kindle
This book explores the extent to which fuzzy set logic can overcome some of the shortcomings of public choice theory, particularly its inability to provide adequate predictive power in empirical studies. Especially in the case of social preferences, public choice theory has failed to produce the set of alternatives from which collective choices are made. The book presents empirical findings achieved by the authors in their efforts to predict the outcome of government formation processes in European parliamentary and semi-presidential systems. Using data from the Comparative Manifesto Project (CMP), the authors propose a new approach that reinterprets error in the coding of CMP data as ambiguity in the actual political positions of parties on the policy dimensions being coded. The range of this error establishes parties’ fuzzy preferences. The set of possible outcomes in the process of government formation is then calculated on the basis of both the fuzzy Pareto set and the fuzzy maximal set, and the predictions are compared with those made by two conventional approaches as well as with the government that was actually formed. The comparison shows that, in most cases, the fuzzy approaches outperform their conventional counterparts.
| Author | : Jerry S. Kelly |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 174 |
| Release | : 2013-03-09 |
| Genre | : Business & Economics |
| ISBN | : 366209925X |
Download Social Choice Theory Book in PDF, ePub and Kindle
This is a textbook introducing selected topics in formal social choice theory. Social choice theory studies group choices that are based on information about preferences of members of the group (voting rules being one important special case). This involves economics, which provides the method of modelling individual decision making; political philosophy, which provides criteria about the allocation of decision-influencing power; and game theory, which provides a framework for thinking about the strategies individuals employ in trying to influence the group choice. The goal of this book is to take basic ideas like impossibility theorems, rights exercising and strategy proofness and give the student just enough technical background to be able to understand these ideas in a logically rigorous way. This is done through a set of 250 exercises that constitute the heart of the book and which differentiate this book from all other texts in social choice theory.
| Author | : Kenneth J. Arrow |
| Publisher | : Elsevier |
| Total Pages | : 985 |
| Release | : 2010-10-13 |
| Genre | : Business & Economics |
| ISBN | : 0080929826 |
Download Handbook of Social Choice and Welfare Book in PDF, ePub and Kindle
This second part of a two-volume set continues to describe economists' efforts to quantify the social decisions people necessarily make and the philosophies that those choices define. Contributors draw on lessons from philosophy, history, and other disciplines, but they ultimately use editor Kenneth Arrow's seminal work on social choice as a jumping-off point for discussing ways to incentivize, punish, and distribute goods. Develops many subjects from Volume 1 (2002) while introducing new themes in welfare economics and social choice theory Features four sections: Foundations, Developments of the Basic Arrovian Schemes, Fairness and Rights, and Voting and Manipulation Appeals to readers who seek introductions to writings on human well-being and collective decision-making Presents a spectrum of material, from initial insights and basic functions to important variations on basic schemes
| Author | : Selçuk Topal |
| Publisher | : Infinite Study |
| Total Pages | : 10 |
| Release | : |
| Genre | : Mathematics |
| ISBN | : |
Download A New Group Decision Making Method With Distributed Indeterminacy Form Under Neutrosophic Environment: An Introduction to Neutrosophic Social Choice Theory Book in PDF, ePub and Kindle
We present a novel social choice theory based multi-criteria decision making method under neutrosophic environment and a new form of truth representation of neutrosophic theory called Distributed Indeterminacy Form (DIF). Our hybrid method consists of classical methods and an aggregation operator used in social choice theory.
| Author | : Selcuk Topal |
| Publisher | : Infinite Study |
| Total Pages | : 22 |
| Release | : |
| Genre | : Mathematics |
| ISBN | : |
Download A New Group DecisionMakingMethod with Distributed Indeterminacy Form under Neu- trosophic Environment: Neutrosophic Social Choice Theory Book in PDF, ePub and Kindle
This paper presents a novel social choice theory based multi-criteria decision method under neutrosophic environment. Our hybrid method consists of classical methods and an aggregation operator used in social choice theory. In addition to this, we also use distributed indeterminacy form function in our method to provide a more sensitive indeterminacy approach towards accuracy functions. We also consider reciprocal property for all individuals. This provides, as in intuitionistic fuzzy decision making theory, a consistent decision making for each individual. The solution approach presented in this paper in group decision making is treated under neutrosophic individual preference relations. These new approaches seem to be more consistent with natural human behaviour, hence should be more acceptable and implementable. Moreover, the use of a similar approach to develop some deeper soft degrees of consensus is outlined. Finally, we give a Python implementation of our work in the Appendix section.
| Author | : Peter C. Fishburn |
| Publisher | : Princeton University Press |
| Total Pages | : 277 |
| Release | : 2015-03-08 |
| Genre | : Social Science |
| ISBN | : 1400868335 |
Download The Theory of Social Choice Book in PDF, ePub and Kindle
One fundamental premise of democratic theory is that social policy, group choice, or collective action should be based on the preferences of the individuals in the society, group, or collective. Using the tools of formal mathematical analysis, Peter C. Fishburn explores and defines the conditions for social choice and methods for synthesizing individuals' preferences. This study is unique in its emphasis on social choice functions, the general position that individual indifference may not be transitive, and the use of certain mathematics such as linear algebra. The text is divided into three main parts: social choice between two alternatives, which examines a variety of majority-like functions; simple majority social choice, which focuses on social choice among many alternatives when two-element feasible subset choices are based on simple majority; and a general study of aspects and types of social choice functions for many alternatives. Originally published in 1973. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.
| Author | : Paul E Johnson |
| Publisher | : SAGE |
| Total Pages | : 121 |
| Release | : 1998-06-25 |
| Genre | : Social Science |
| ISBN | : 0761914064 |
Download Social Choice Book in PDF, ePub and Kindle
'Social Choice' is a comprehensive exploration of the key questions, concepts, terminology, methods and results of social choice theory.
| Author | : Irina Georgescu |
| Publisher | : Springer |
| Total Pages | : 286 |
| Release | : 2007-07-16 |
| Genre | : Technology & Engineering |
| ISBN | : 3540689982 |
Download Fuzzy Choice Functions Book in PDF, ePub and Kindle
This book extends the theory of revealed preference to fuzzy choice functions, providing applications to multicriteria decision making problems. The main topics of revealed preference theory are treated in the framework of fuzzy choice functions. New topics, such as the degree of dominance and similarity of vague choices, are developed. The results are applied to economic problems where partial information and human subjectivity involve vague choices and vague preferences.
