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Application of Fuzzy Logic to Social Choice Theory

Application of Fuzzy Logic to Social Choice Theory
Author: John N. Mordeson
Publisher: CRC Press
Total Pages: 346
Release: 2015-03-03
Genre: Mathematics
ISBN: 1482250993

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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


Fuzzy Social Choice Theory

Fuzzy Social Choice Theory
Author: Michael B. Gibilisco
Publisher: Springer
Total Pages: 196
Release: 2014-02-24
Genre: Technology & Engineering
ISBN: 3319051768

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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.


Fuzzy Social Choice Models

Fuzzy Social Choice Models
Author: Peter C. Casey
Publisher: Springer
Total Pages: 189
Release: 2014-06-20
Genre: Technology & Engineering
ISBN: 3319082485

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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.


Social Goal-objective Formation, Democracy and National Interest

Social Goal-objective Formation, Democracy and National Interest
Author: K. K. Dompere
Publisher:
Total Pages: 223
Release: 2014
Genre: Development economics
ISBN: 9783319051741

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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.


Cost-Benefit Analysis and the Theory of Fuzzy Decisions

Cost-Benefit Analysis and the Theory of Fuzzy Decisions
Author: Kofi Kissi Dompere
Publisher: Springer
Total Pages: 412
Release: 2013-03-20
Genre: Computers
ISBN: 3540444408

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The genus of definitions for the theoretical sciences is (the province of) the habitus of the intellective intention, for the practical sciences, however, that of the effective intention; the objects and ends constitute the specific differ ence There is nothing in the intellect that has not already been in the senses, that is, in the sensory organs, that has not already been in sensible things from which are distinguished things not perceptible to the senses. Nothing can be of the mind, sensation and the thing inferred therefrom except the operation itself. Real learning is cognition of things in themselves. It thus has the basis of its certainty in the known thing. This is established in two ways: by demon stration in the case of contemplative things, and by induction in the case of things perceptible to the senses. In contrast with real learning there is pos sible, probable and fictive learning. Antonius Gvilielmus Amo Afer (1827) This research has been long in the making. Its conception began in my last years in the doctoral program at Temple University, Philadelphia, Pa. It was simultaneously conceived with my two books on the Neo Keynesian Theory of Optimal aggregate investment and output dynamics [201] [202] as well as reflections on the methodology of decision-choice rationality and development economics [440] [441]. Economic theories and social policies were viewed to have, among other things, one impor tant thing in common in that they relate to decision making under different.


Linguistic Fuzzy Logic Methods in Social Sciences

Linguistic Fuzzy Logic Methods in Social Sciences
Author: Badredine Arfi
Publisher: Springer Science & Business Media
Total Pages: 194
Release: 2010-06-17
Genre: Computers
ISBN: 3642133428

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The book, titled “Linguistic Fuzzy-Logic Methods in Social Sciences,” is a first in its kind. Linguistic fuzzy logic theory deals with sets or categories whose boundaries are blurry or, in other words, “fuzzy,” and which are expressed in a formalism that uses “words” to compute, not numbers, termed in engineering as “soft computing.” This book presents an accessible introduction to this linguistic fuzzy logic methodology, focusing on its applicability to social sciences. Specifically, this is the first book to propose an approach based on linguistic fuzzy-logic and the method of computing with words to the analysis of decision making processes, strategic interactions, causality, and data analysis in social sciences. The project consists of systematic, theoretical and practical discussions and developments of these new methods as well as their applications to various substantive issues of interest to international relations scholars, political scientists, and social scientists in general.


Fuzzy Set Theory — and Its Applications

Fuzzy Set Theory — and Its Applications
Author: Hans-Jürgen Zimmermann
Publisher: Springer Science & Business Media
Total Pages: 408
Release: 2013-03-09
Genre: Business & Economics
ISBN: 9401579490

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Since its inception 20 years ago the theory of fuzzy sets has advanced in a variety of ways and in many disciplines. Applications of this theory can be found in artificial intelligence, computer science, control engineering, decision theory, expert systems, logic, management science, operations research, pattern recognition, robotics and others. Theoretical advances, too, have been made in many directions, and a gap has arisen between advanced theoretical topics and applications, which often use the theory at a rather elementary level. The primary goal of this book is to close this gap - to provide a textbook for courses in fuzzy set theory and a book that can be used as an introduction. This revised book updates the research agenda, with the chapters of possibility theory, fuzzy logic and approximate reasoning, expert systems and control, decision making and fuzzy set models in operations research being restructured and rewritten. Exercises have been added to almost all chapters and a teacher's manual is available upon request.


Fuzzy Set Theory—and Its Applications

Fuzzy Set Theory—and Its Applications
Author: Hans-Jürgen Zimmermann
Publisher: Springer Science & Business Media
Total Pages: 546
Release: 2001-11-30
Genre: Business & Economics
ISBN: 9780792374350

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This introduction to fuzzy set theory and its multitude of applications seeks to balance the character of the book with the dynamic nature of the research. This edition includes new chapters on possibility theory, fuzzy logic and approximate reasoning, expert systems, fuzzy control, fuzzy data analysis, decision making and fuzzy set models in operations research. Existing material has been updated, and extended exercises are included.


Trends in Computational Social Choice

Trends in Computational Social Choice
Author: Ulle Endriss
Publisher: Lulu.com
Total Pages: 424
Release: 2017
Genre: Computers
ISBN: 1326912097

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Computational social choice is concerned with the design and analysis of methods for collective decision making. It is a research area that is located at the interface of computer science and economics. The central question studied in computational social choice is that of how best to aggregate the individual points of view of several agents, so as to arrive at a reasonable compromise. Examples include tallying the votes cast in an election, aggregating the professional opinions of several experts, and finding a fair manner of dividing a set of resources amongst the members of a group -- Back cover.


Fuzzy Logic And Soft Computing

Fuzzy Logic And Soft Computing
Author: Bernadette Bouchon-meunier
Publisher: World Scientific
Total Pages: 509
Release: 1995-09-15
Genre: Computers
ISBN: 9814500089

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Soft computing is a new, emerging discipline rooted in a group of technologies that aim to exploit the tolerance for imprecision and uncertainty in achieving solutions to complex problems. The principal components of soft computing are fuzzy logic, neurocomputing, genetic algorithms and probabilistic reasoning.This volume is a collection of up-to-date articles giving a snapshot of the current state of the field. It covers the whole expanse, from theoretical foundations to applications. The contributors are among the world leaders in the field.