Ebook: Consensus Under Fuzziness

We live, unfortunately, in turbulent and difficult times plagued by various political, economic, and social problems, as well as by natural disasters worldwide. Systems become more and more complicated, and this concerns all levels, exemplified first by global political alliances, groups of countries, regions, etc., and secondly, by multinational (global) corporations and companies of all sizes. These same concerns affect all social groups. This all makes decision processes very complicated. In virtually all decision processes in these complicated systems, there are various actors (decision makers) who represent individual subjects (persons, countries, companies, etc.) and their respective interest groups. To reach a meaningful (good) decision, opinions of all such actors must be taken into account or a given decision may be rejected and not implemented. Ideally, a decision would be made after a consensus between the parties involved had been attained. So, consensus is a very desirable situation. In most real-world cases there is considerable uncertainty concerning all aspects of the decision making process. Moreover, opinions, goals, constraints, etc. are usually imprecisely known. This makes the decision making process difficult as one cannot employ conventional "hard" tools.

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This work focuses on consensus formation in multiperson decision-making groups using imprecise information. The editors have solicited and organized important contributions on this subject from leading experts in the field. The well-known contributors include Ronald Yager, Henri Prade, George Klier, and J?nos Fodor, among others. These contributions are original and are concerned with issues related to modeling and monitoring of consensus-reaching processes under fuzzy preferences and fuzzy majorities. The chapters include an array of paradigms, tools and techniques that can help develop new analytical tools for consensus-reaching processes.

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This work focuses on consensus formation in multiperson decision-making groups using imprecise information. The editors have solicited and organized important contributions on this subject from leading experts in the field. The well-known contributors include Ronald Yager, Henri Prade, George Klier, and J?nos Fodor, among others. These contributions are original and are concerned with issues related to modeling and monitoring of consensus-reaching processes under fuzzy preferences and fuzzy majorities. The chapters include an array of paradigms, tools and techniques that can help develop new analytical tools for consensus-reaching processes.
Content:
Front Matter....Pages i-viii
Front Matter....Pages 1-1
Consensus, Negotiation and Mediation....Pages 3-15
Fuzziness and the Normative Theory of Social Choice....Pages 17-27
Types and Measures of Uncertainty....Pages 29-51
Front Matter....Pages 53-53
“Soft” Degrees of Consensus Under Fuzzy Preferences and Fuzzy Majorities....Pages 55-81
An Approach to the Consensus Reaching Support in Fuzzy Environment....Pages 83-109
The Dichotomous Approach to Soft Consensus Measurement....Pages 111-119
Consensus Based on Fuzzy Coincidence for Group Decision Making in Linguistic Setting....Pages 121-146
Modeling Preference Relations and Consensus in a Linguistic Environment: An Approach Based on OWA Operators....Pages 147-161
Front Matter....Pages 163-163
Protocol for Negotiations among Multiple Intelligent Agents....Pages 165-174
The Development of Fuzzy Consensus via Neural Modelling....Pages 175-187
Front Matter....Pages 189-189
Consensus for Decomposable Measures....Pages 191-210
Construction of Fuzzy Utility Functions in Group Decision Making....Pages 211-230
Problem Solving with Multiple Interdependent Criteria....Pages 231-246
Lexicographical Solutions in N-Person Cooperative Games with Multiple Scenarios....Pages 247-263
Front Matter....Pages 265-265
Identification of Ideological Dimensions under Fuzziness: The Case of Poland....Pages 267-284
Determining Weights of Research Topics on the Basis of Expert Judgements. The Case of Systems Research Institute....Pages 285-299
Back Matter....Pages 301-303

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This work focuses on consensus formation in multiperson decision-making groups using imprecise information. The editors have solicited and organized important contributions on this subject from leading experts in the field. The well-known contributors include Ronald Yager, Henri Prade, George Klier, and J?nos Fodor, among others. These contributions are original and are concerned with issues related to modeling and monitoring of consensus-reaching processes under fuzzy preferences and fuzzy majorities. The chapters include an array of paradigms, tools and techniques that can help develop new analytical tools for consensus-reaching processes.
Content:
Front Matter....Pages i-viii
Front Matter....Pages 1-1
Consensus, Negotiation and Mediation....Pages 3-15
Fuzziness and the Normative Theory of Social Choice....Pages 17-27
Types and Measures of Uncertainty....Pages 29-51
Front Matter....Pages 53-53
“Soft” Degrees of Consensus Under Fuzzy Preferences and Fuzzy Majorities....Pages 55-81
An Approach to the Consensus Reaching Support in Fuzzy Environment....Pages 83-109
The Dichotomous Approach to Soft Consensus Measurement....Pages 111-119
Consensus Based on Fuzzy Coincidence for Group Decision Making in Linguistic Setting....Pages 121-146
Modeling Preference Relations and Consensus in a Linguistic Environment: An Approach Based on OWA Operators....Pages 147-161
Front Matter....Pages 163-163
Protocol for Negotiations among Multiple Intelligent Agents....Pages 165-174
The Development of Fuzzy Consensus via Neural Modelling....Pages 175-187
Front Matter....Pages 189-189
Consensus for Decomposable Measures....Pages 191-210
Construction of Fuzzy Utility Functions in Group Decision Making....Pages 211-230
Problem Solving with Multiple Interdependent Criteria....Pages 231-246
Lexicographical Solutions in N-Person Cooperative Games with Multiple Scenarios....Pages 247-263
Front Matter....Pages 265-265
Identification of Ideological Dimensions under Fuzziness: The Case of Poland....Pages 267-284
Determining Weights of Research Topics on the Basis of Expert Judgements. The Case of Systems Research Institute....Pages 285-299
Back Matter....Pages 301-303
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