The word consensus has been frequently used for centuries, perhaps millenia. People have always deemed it important that decisions having a long lasting impact on groups, countries or even civilizations be arrived at in a consensual manner. Undoubtedly the complexity of modern world in all its social, technological, economic and cultural dimensions has created new environments where consensus is regarded desirable. Consensus typically denotes a state of agreement prevailing in a group of agents, human or software. In the strict sense of the term, consensus means that the agreement be unanimous. Since such a state is often unreachable or even unnecessary, other less demanding consensus-related notions have been introduced. These typically involve some graded, partial or imprecise concepts. The contributions to this volume define and utilize such less demanding - and thus at the same time more general - notions of consensus. However, consensus can also refer to a process whereby the state of agreement is reached. Again this state can be something less stringent than a complete unanimity of all agents regarding all options. The process may involve modifications, resolutions and /or mitigations of the views or inputs of individuals or software agents in order to achieve the state of consensus understood in the more general sense. The consensus reaching processes call for some soft computational approaches, methods and techniques, notably fuzzy and possibilistic ones. These are needed to accommodate the imprecision in the very meaning of some basic concepts utilized in the definition of consensus as a state of agreement and as a process whereby this state is to be reached. The overall aim of this volume is to provide a comprehensive overview and analysis of the issues related to consensus states and consensual processes.
págs. 3-22
On Penalty-Based Aggregation Functions and Consensus
Gleb Beliakov , Tomasa Calvo Sánchez , Simon James
págs. 23-40
Ranking Alternatives in Group Decision-Making with Partial Information: A Stable Approach
Ignacio Contreras Rubio , Miguel Ángel Hinojosa Ramos , Amparo M. Mármol Conde
págs. 41-52
Opinion Changing Aversion Functions for Group Settlement Modeling
Matteo Brunelli, Robert Fullér, József Mezei
págs. 53-63
Statistical Preference as a Tool in Consensus Processes
Ignacio Montes Gutiérrez, Davide Martinetti, Susana Díaz Vázquez , Susana Montes Rodríguez
págs. 65-92
Consensus with Oneself: Within-Person Choice Aggregation in the Laboratory
Michel Regenwetter, Anna Dmitrievna Popova
págs. 95-121
págs. 123-134
págs. 135-143
págs. 145-156
págs. 159-177
Consensus Perspectives: Glimpses into Theoretical Advances and Applications
págs. 179-193
págs. 195-211
págs. 213-234
A Qualitative Reasoning Approach to Measure Consensus
Llorenç Rosello Sauri, Francesc Prats Duaygues , Núria Agell Jané , Mónica Sánchez Soler
págs. 235-261
On Consensus in Group Decision Making Based on Fuzzy Preference Relations
págs. 263-287
Supporting Consensus Reaching Processes under Fuzzy Preferences and a Fuzzy Majority via Linguistic Summaries and Action Rules
págs. 289-314
Consensual Processes Based on Mobile Technologies and Dynamic Information
Ignacio Javier Pérez Gálvez , Francisco Javier Cabrerizo , Manuel Jesús Cobo , Sergio Alonso Burgos , Enrique Herrera Viedma
págs. 317-337
Building Consensus in On-Line Distributed Decision Making: Interaction, Aggregation and the Construction of Shared Knowledge
Luca Iandoli
págs. 339-355
A Web-Based Consensus Support System Dealing with Heterogeneous Information
Francisco Mata, Juan Carlos Martínez, Rosa Rodríguez
págs. 357-381
A Fuzzy Hierarchical Multiple Criteria Group Decision Support System – Decider – and Its Applications
Jun Ma, Guangquan Zhang, Jie Lu
págs. 383-403
págs. 405-423
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