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

Information Fusion

Volumn 17, Issue 1, 2014, Pages 36-45

  Brunelli, Matteo ^a,b   Fedrizzi, Mario ^c   Fedrizzi, Michele ^c  

^a ÅBO AKADEMI UNIVERSITY   (Finland)

^b TURKU CENTRE FOR COMPUTER SCIENCE   (Finland)

^c UNIVERSITY OF TRENTO   (Italy)

Author keywords

Consensus; Eigenvector centrality; Fuzzy adjacency relations; Group decision making; Social network analysis

Indexed keywords

ADJACENCY RELATIONS; CENTRALITY MEASURES; CONSENSUS; EIGENVECTOR CENTRALITIES; FUZZY GROUP DECISION MAKING; FUZZY PREFERENCES; GROUP DECISION MAKING; OPTIMIZATION PROBLEMS;

DECISION MAKING; EIGENVALUES AND EIGENFUNCTIONS; FUZZY SETS; OPTIMIZATION;

SOCIAL NETWORKING (ONLINE);

EID: 84888294238     PISSN: 15662535     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.inffus.2011.11.001     Document Type: Article

References (34)

1. M. Squillante Decision making in social networks International Journal of Intelligent Systems 25 3 2010 225 (Special issue)
2. J.N. Mordeson, and P.S. Nair Fuzzy Graphs and Fuzzy Hypergraphs 2000 Physica-Verlag New York
3. L.A. Zadeh Similarity relations and fuzzy orderings Information Sciences 3 2 1971 177 200
4. T.-F. Fan, C.-J. Liau, T.-Y. Lin, Positional analysis in fuzzy social networks, in: IEEE International Conference on Granular Computing, IEEE-GrC, 2007, pp. 423-428.
5. R.R. Yager Concept representation in database structures in fuzzy social relational networks IEEE Transactions on Systems, Man and Cybernetics: part A 40 2 2010 413 419
6. M. Kokabu, O. Katai, T. Shiose, and H. Kawakami Design concept of community currency based on fuzzy network analysis Complexity International 11 2005 102 112
7. M. Brunelli, M. Fedrizzi, A fuzzy approach to social network analysis, in: Advances in Social Network Analysis and Mining, Proc. of ASONAM 2009, pp. 225-230.
8. M. Brunelli, M. Fedrizzi, and M. Fedrizzi OWA-based fuzzy m-ary adjacency relations in social network analysis R.R. Yager, J. Kacprzyk, G. Beliakov, Recent Developments in the Ordered Weighted Averaging Operators: Theory and Practice 2011 Springer-Verlag Berlin Heidelberg 255 267
9. G.J. Klir, and B. Yuan Fuzzy Sets and Fuzzy Logic: Theory and Applications 1995 Pretience Hall
10. R.R. Yager Ordered weighted averaging operators in multicriteria decision making IEEE Transactions on Systems, Man and Cybernetics 18 1 1988 183 190
11. P. Bonacich Power and centrality: a family of measures American Journal of Sociology 92 5 1987 1170 1182
12. P. Bonacich Power and centrality: a family of measures American Journal of Sociology 92 5 1987 1170 1182 (Pubitemid 40272649)
13. S.P. Borgatti, and M.G. Everett A graph-theoretic perspective on centrality Social Networks 28 4 2006 466 484 (Pubitemid 44089303)
14. P. Bonacich Some unique properties of eigenvector centrality Social Networks 29 4 2007 555 564
15. J. Kacprzyk, and M. Fedrizzi A 'soft' measure of consensus in the setting of partial (fuzzy) preferences European Journal of Operational Research 34 3 1988 316 325 (Pubitemid 18579987)
16. J. Kacprzyk, and M. Fedrizzi A human-consistent degree of consensus based on fuzzy logic with linguistic quantifiers Mathematical Social Sciences 18 3 1989 275 290
17. J. Kacprzyk, M. Fedrizzi, and H. Nurmi Group decision making and consensus under fuzzy preferences and fuzzy majority Fuzzy Sets and Systems 49 1 1992 21 31
18. F.J. Cabrerizo, J.M. Moreno, I.J. Perez, and E. Herrera-Viedma Analyzing consensus approaches in fuzzy group decision making: advantages and drawbacks Soft Computing 14 5 2010 451 463
19. E. Herrera-Viedma, J.L. García-Lapresta, J. Kacprzyk, H. Nurmi, M. Fedrizzi, and S. Zadrożny Consensual Processes 2011 Springer-Verlag Berlin Heidelberg
20. S. Wasserman, and K. Faust Social Networks Analysis: Methods and Applications 1994 Cambridge University Press
21. D. Dubois, and H. Prade Fuzzy Sets and Systems: Theory and Applications 1980 Academic Press
22. J.A. Goguen L-fuzzy sets Journal of Mathematical Analysis and Applications 18 1 1967 145 174
23. B. De Baets, H. De Meyer, B. De Schuymer, and S. Jenei Cyclic evaluation of transitivity of reciprocal relations Social Choice and Welfare 26 2 2006 217 238 (Pubitemid 44030352)
24. Z.S. Xu, and J. Chen Ordered weighted distance measure Journal of Systems Science and System Engineering 17 4 2008 432 445
25. B. Cavallo, and L. D'Apuzzo A general unified framework for pairwise comparison matrices in multicriterial methods International Journal of Intelligent Systems 24 4 2009 377 398
26. J. Barzilai Consistency measures for pairwise comparison matrices Journal of Multi-Criteria Decision Analysis 7 3 1998 123 132 (Pubitemid 128069422)
27. E. Herrera-Viedma, F. Herrera, and F. Chiclana A consensus model for multiperson decision making with different preference structures IEEE Transactions on Systems, Man and Cybernetics: Part A 32 3 2002 394 402 (Pubitemid 35426921)
28. T.L. Saaty A scaling method for priorities in hierarchical structures Journal of Mathematical Psychology 15 3 1977 234 281
29. G. Beliakov, A. Pradera, and T. Calvo Aggregation Functions: A Guide for Practitioners 2007 Springer
30. R.R. Yager Intelligent social network analysis using granular computing International Journal of Intelligent Systems 23 11 2008 1197 1220
31. H.W. Riker Theory of Political Coalitions 1962 Yale University Press
32. R.A. Brualdi, and H.J. Ryser Combinatorial Matrix Theory 1992 Cambridge University Press
33. A. Landherr, B. Friedl, and J. Heidemann A critical review of centrality measures in social networks Business & Information Systems Engineering 2 6 2010 371 385
34. A. Buoni, M. Fedrizzi, and J. Mezei Combining attack trees and fuzzy numbers in a multi-agent approach to fraud detection International Journal of Electronic Business 9 3 2011 186 202