Fuzzy m-ary adjacency relations in social network analysis: Optimization and consensus evaluation

Authors:
Matteo Brunelli;Mario Fedrizzi;Michele Fedrizzi
Affiliations:
IAMSR, bo Akademi University, FIN-20520 bo, Finland and Turku Centre for Computer Science, FIN-20520 Turku, Finland;Department of Computer and Management Sciences, University of Trento, I-38122 Trento, Italy;Department of Computer and Management Sciences, University of Trento, I-38122 Trento, Italy
Venue:
Information Fusion
Year:
2014

Citing 15
Cited 0

On ordered weighted averaging aggregation operators in multicriteria decisionmaking

IEEE Transactions on Systems, Man and Cybernetics
Group decision making and consensus under fuzzy preferences and fuzzy majority

Fuzzy Sets and Systems - Special issue dedicated to Professor Claude Ponsard
Fuzzy sets and fuzzy logic: theory and applications

Fuzzy sets and fuzzy logic: theory and applications
Fuzzy Sets and Systems: Theory and Applications

Fuzzy Sets and Systems: Theory and Applications
Positional Analysis in Fuzzy Social Networks

GRC '07 Proceedings of the 2007 IEEE International Conference on Granular Computing
Intelligent social network analysis using granular computing

International Journal of Intelligent Systems
A general unified framework for pairwise comparison matrices in multicriterial methods

International Journal of Intelligent Systems
A Fuzzy Approach to Social Network Analysis

ASONAM '09 Proceedings of the 2009 International Conference on Advances in Social Network Analysis and Mining
Aggregation Functions: A Guide for Practitioners

Aggregation Functions: A Guide for Practitioners
Similarity relations and fuzzy orderings

Information Sciences: an International Journal
Decision making in social networks

International Journal of Intelligent Systems - Decision Making in Social Networks
Analyzing consensus approaches in fuzzy group decision making: advantages and drawbacks

Soft Computing - A Fusion of Foundations, Methodologies and Applications - Special Issue on Soft Computing in Decision Modeling; Guest Editors: Vicenc Torra, Yasuo Narukawa
A consensus model for multiperson decision making with different preference structures

IEEE Transactions on Systems, Man, and Cybernetics, Part A: Systems and Humans
Concept Representation and Database Structures in Fuzzy Social Relational Networks

IEEE Transactions on Systems, Man, and Cybernetics, Part A: Systems and Humans
Consensual Processes

Consensual Processes

Quantified Score

Hi-index	0.00

Visualization

Abstract

The main contribution of this paper consists in extending the 'soft' consensus paradigm of fuzzy group decision making developed under the framework of numerical fuzzy preferences. We address the problem of consensus evaluation by endogenously computing the importance of the decision makers in terms of their influence strength in the network. To this aim, we start from centrality measure and combine it with the fuzzy m-ary adjacency relation approach. In this way, we introduce a flexible consensus measure that takes into account the influence strength of the decision makers according to their eigenvector centrality. Moreover, we propose an optimization problem which determines the maximum number of the most important decision makers that share a fixed desirable consensus level.