New results on overlap and grouping functions

Information Sciences

Volumn 249, Issue , 2013, Pages 148-170

  Bedregal, Benjamín ^a   Dimuro, Graçaliz Pereira ^b   Bustince, Humberto ^c   Barrenechea, Edurne ^c  

^a FEDERAL UNIVERSITY OF RIO GRANDE DO NORTE   (Brazil)

^b FEDERAL UNIVERSITY OF RIO GRANDE   (Brazil)

^c PUBLIC UNIVERSITY OF NAVARRE   (Spain)

Author keywords

Grouping function; Homogeneity; Idempotency Automorphism; Migrativity; Overlap function

Indexed keywords

AGGREGATION OPERATOR; AUTOMORPHISMS; DE MORGAN TRIPLE; FUZZY PREFERENCE RELATIONS; HOMOGENEITY; IMAGING PROCESSING; MIGRATIVITY; OVERLAP FUNCTIONS;

ARTIFICIAL INTELLIGENCE; SOFTWARE ENGINEERING;

MATHEMATICAL OPERATORS;

EID: 84883178390     PISSN: 00200255     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ins.2013.05.004     Document Type: Article

References (78)

1. C. Alsina, M.J. Frank, and B. Schweizer Associative Functions: Triangular Norms and Copulas 2006 World Scientific Publishing Company Singapore
2. A. Amo, J. Montero, G. Biging, and V. Cutello Fuzzy classification systems European Journal of Operational Research 156 2 2004 495 507
3. M. Baczyński Residual implications revisited. Notes on the Smets-Magrez theorem Fuzzy Sets and Systems 145 2 2004 267 277
4. M. Baczyński, and B. Jayaram Fuzzy Implications 2008 Springer Berlin
5. J. Barzilai Consistency measures for pairwise comparison matrices Journal of Multi-Criteria Decision Analysis 7 3 1998 123 132
6. A.R. Beattie, and P.T. Landsberg One-dimensional overlap functions and their application to auger recombination in semiconductors Proceedings of the Royal Society of London. Series A, Mathematical and Physical Sciences 258 1295 1960 486 495
7. B.C. Bedregal On interval fuzzy negations Fuzzy Sets and Systems 161 17 2010 2290 2313
8. B.C. Bedregal, H. Bustince, J. Fernandez, G. Deschrijver, R. Mesiar, Interval-valued contractive fuzzy negations, in: Proceedings of 2010 IEEE International Conference on Fuzzy Systems (FUZZ), Barcelona, IEEE, Los Alamitos, 2010, pp. 1-6.
9. B.C. Bedregal, G.P. Dimuro, R.H.S. Reiser, An approach to interval-valued R-implications and automorphisms, in: J.P. Carvalho, D. Dubois, U. Kaymak, J.M. da Costa Sousa (Eds.), Proceedings of the Joint 2009 International Fuzzy Systems Association World Congress and 2009 European Society of Fuzzy Logic and Technology Conference, IFSA/EUSFLAT, 2009, pp. 1-6.
10. B.C. Bedregal, G.P. Dimuro, R.H.N. Santiago, and R.H.S. Reiser On interval fuzzy S-implications Information Sciences 180 8 2010 1373 1389
11. B.C. Bedregal, I. Pan, Some typical classes of t-norms and the 1-lipschitz condition, in: Ninth Brazilian Symposium on Neural Networks, SBRN 06, IEEE, Los Alamitos, 2006, pp. 184 -189.
12. B.C. Bedregal, A. Takahashi, Interval valued versions of t-conorms, fuzzy negations and fuzzy implications, in: Proceedings of the IEEE International Conference on Fuzzy Systems, Vancouver, 2006, IEEE, Los Alamitos, 2006, pp. 1981-1987.
13. G. Beliakov, A. Pradera, and T. Calvo Aggregation Functions: A Guide for Practitioners 2007 Springer Berlin
14. H. Bustince, E. Barrenechea, and M. Pagola Restricted equivalence functions Fuzzy Sets and Systems 157 17 2006 2333 2346
15. H. Bustince, E. Barrenechea, and M. Pagola Image thresholding using restricted equivalence functions and maximizing the measures of similarity Fuzzy Sets and Systems 158 5 2007 496 516
16. H. Bustince, E. Barrenechea, M. Pagola, and F. Soria Weak fuzzy S-subsethood measures. Overlap index International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems 14 5 2006 537 560
17. H. Bustince, P. Burillo, and F. Soria Automorphism, negations and implication operators Fuzzy Sets and Systems 134 2 2003 209 229
18. H. Bustince, B. De Baets, J. Fernandez, R. Mesiar, and J. Montero A generalization of the migrativity property of aggregation functions Information Sciences 191 0 2012 76 85
19. H. Bustince, J. Fernández, R. Mesiar, J. Montero, R. Orduna, Overlap index, overlap functions and migrativity, in: Proceedings of IFSA/EUSFLAT Conference, 2009, pp. 300-305.
20. H. Bustince, J. Fernandez, R. Mesiar, J. Montero, and R. Orduna Overlap functions Nonlinear Analysis 72 3-4 2010 1488 1499
21. H. Bustince, V. Mohedano, E. Barrenechea, and M. Pagola Definition and construction of fuzzy DI-subsethood measures Information Sciences 176 21 2006 3190 3231
22. H. Bustince, J. Montero, and R. Mesiar Migrativity of aggregation operators Fuzzy Sets and Systems 160 6 2009 766 777
23. H. Bustince, M. Pagola, and E. Barrenechea Construction of fuzzy indices from fuzzy DI-subsethood measures: application to the global comparison of images Information Sciences 177 3 2007 906 929
24. H. Bustince, M. Pagola, R. Mesiar, E. Hüllermeier, and F. Herrera Grouping, overlaps, and generalized bientropic functions for fuzzy modeling of pairwise comparisons IEEE Transactions on Fuzzy Systems 20 3 2012 405 415
25. C. Callejas, J. Marcos, B. Bedregal, Actions of automorphisms on some classes of fuzzy bi-implications, in: Proceedings of the Second Brazilian Conference on Fuzzy Systems, CBSF 2012, SBMAC, São Carlos, 2012, pp. 140-146.
26. F. Chiclana, F. Herrera, and E. Herrera-Viedma Integrating multiplicative preference relations in a multipurpose decision-making model based on fuzzy preference relations Fuzzy Sets and Systems 122 2 2001 277 291
27. A.C.R. Costa, and G.P. Dimuro A basis for an exchange value-based operational notion of morality for multiagent systems J. Neves, M. Santos, J. Machado, Progress in Artificial Intelligence Lecture Notes in Computer Science vol. 4874 2007 Springer Berlin/Heidelberg 580 592
28. C.G. Costa, B.C. Bedregal, and A.D.D. Neto Relating De Morgan triples with Atanassov's intuitionistic De Morgan triples via automorphisms International Journal on Approximate Reasoning 52 4 2011 473 487
29. G.P. Dimuro On interval fuzzy numbers 2011 Workshop-School of Theoretical Computer Science (WEIT) 2011 IEEE Los Alamitos 3 8 http://dx.doi.org/10.1109/ WEIT.2011.19
30. G.P. Dimuro, B.C. Bedregal, R.H.N. Santiago, and R.H.S. Reiser Interval additive generators of interval t-norms and interval t-conorms Information Sciences 181 18 2011 3898 3916
31. G.P. Dimuro, and A.C.R. Costa Exchange values and self-regulation of exchanges in multi-agent systems: the provisory, centralized model S. Brueckner, G. Di Marzo Serugendo, D. Hales, F. Zambonelli, Engineering Self-Organising Systems Lecture Notes in Computer Science vol. 3910 2006 Springer Berlin/Heidelberg 75 89
32. G.P. Dimuro, A.C.R. Costa, L. Gonçalves, and A. Hübner Regulating social exchanges between personality-based non-transparent agents A. Gelbukh, C. Reyes-Garcia, MICAI 2006: Advances in Artificial Intelligence Lecture Notes in Computer Science vol. 4293 2006 Springer Berlin/Heidelberg 1105 1115
33. G.P. Dimuro, A.C.R. Costa, L.V. Gonçalves, and A. Hübner Centralized regulation of social exchanges between personality-based agents P. Noriega, J. Vázquez-Salceda, G. Boella, O. Boissier, V. Dignum, N. Fornara, E. Matson, Coordination, Organizations, Institutions, and Norms in Agent Systems II Lecture Notes in Computer Science vol. 4386 2007 Springer Berlin/Heidelberg 338 355
34. G.P. Dimuro, A.C.R. Costa, and L. Palazzo Systems of exchange values as tools for multi-agent organizations Journal of the Brazilian Computer Society 11 2005 27 40
35. G.P. Dimuro, A.R.C. Costa, L.V. Gonçalves, and D. Pereira Recognizing and learning models of social exchange strategies for the regulation of social interactions in open agent societies Journal of the Brazilian Computer Society 17 2011 143 161
36. D. Dubois, and J.-L. Koning Social choice axioms for fuzzy set aggregation Fuzzy Sets and Systems 43 3 1991 257 274
37. F. Durante, J. Fernández-Sánchez, and J.J. Quesada-Molina On the α-migrativity of multivariate semi-copulas Information Sciences 187 2012 216 223
38. F. Durante, and P. Sarkoci A note on the convex combinations of triangular norms Fuzzy Sets and Systems 159 1 2008 77 80
39. K.J. Eskola, R. Vogt, and X.-N. Wang Nuclear overlap functions International Journal of Modern Physics A 10 20n21 1995 3087 3090
40. F. Esteva Negations in complete lattices Stochastica 1 1 1975 49 66 (in Spanish)
41. G.P. Farias, G.P. Dimuro, A.C.R. Costa, BDI agents with fuzzy perception for simulating decision making in environments with imperfect information, in: O. Boissier, A.E. Fallah-Seghrouchni, S. Hassas, N. Maudet (Eds.), Proceedings of the Multi-Agent Logics, Languages, and Organisations Federated Workshops (MALLOW 2010), Lyon, France, August 30-September 2, 2010, vol. 627 of CEUR-WS Workshop Proceedings Series, un SITE Central Europe/RWTH Aachen University/Tilburg University, Aachen, 2010, pp. 41/23-41/30.
42. G.P. Farias, G.P. Dimuro, and A.C.R. Costa Costa, A fuzzy-BDI agent model for exchanges of non-economic services, based on the social exchange theory 2011 Workshop-School of Theoretical Computer Science (WEIT) 2011 IEEE Los Alamitos 134 137 http://dx.doi.org/10.1109/WEIT.2011.20
43. M. Fedrizzi, and S. Giove Incomplete pairwise comparison and consistency optimization European Journal of Operational Research 183 1 2007 303 313
44. J. Fernández-Sánchez, J.J. Quesada-Molina, and M. Übeda Flores On (α, β)-homogeneous copulas Information Sciences 221 0 2013 181 191
45. J. Fodor, and M. Roubens Fuzzy preference modelling and multicriteria decision support 1994 Kluwer New York
46. M. Higashi, and G.J. Klir On measures of fuzziness and fuzzy complements International Journal of General Systems 9 3 1982 169 180
47. T. Hungerford Algebra 1974 Springer-Verlag New York
48. E.P. Klement, R. Mesiar, and E. Pap Triangular Norms 2000 Kluwer Academic Publisher Dordrecht
49. I.F. Krasichkov-Temovskii Homogeneity properties of entire function of finite order Matematicheskii Sbornik 72 114 3 1967 412 419
50. R. Lowen On fuzzy complements Information Sciences 14 2 1978 107 113
51. R. Lowen Fuzzy Set Theory: Basic Concepts, Techniques, and Bibliography 1996 Kluwer Academic Publisher Dordrecht
52. L.F.K Macedo, G.P. Dimuro, M.S. Aguiar, A.C.R. Costa, H. Coelho, and V.L.D. Mattos Analyzing the evolution of social exchange strategies in social preference-based MAS through an evolutionary spatial approach of the ultimatum game 2012 Third Brazilian Workshop on Social Simulation (BWSS) 2012 IEEE Los Alamitos 83 90 http://dx.doi.org/10.1109/BWSS.2012.26
53. G. Mayor, E. Trillas, On the representation of some aggregation functions, in: Proceedings of IEEE International Symposium on Multiple-Valued Logic, IEEE, Los Alamitos, 1986, pp. 111-114.
54. K. Menger Statistical metrics Proceedings of the National Academic of Sciences 28 12 1942 535 537
55. J. Montero, D. Gómez, and H. Bustince On the relevance of some families of fuzzy sets Fuzzy Sets and Systems 158 22 2007 2429 2442
56. P.S. Mostert, and A.L. Shields On the structure of semigroups on a compact manifold with boundary Annals of Mathematics 65 1 1957 117 143
57. H.T. Nguyen, and E.A. Walker A First Course in Fuzzy Logic 2006 Chapman & Hall/CRC Boca Raton
58. Y. Ouyang Generalizing the migrativity of continuous t-norms Fuzzy Sets and Systems 211 0 2013 73 83
59. R.O. Parreiras, P. Ekel, and F. Bernardes Jr. A dynamic consensus scheme based on a nonreciprocal fuzzy preference relation modeling Information Sciences 211 2012 1 17
60. W. Pedrycz, and M. Song Analytic hierarchy process (AHP) in group decision making and its optimization with an allocation of information granularity IEEE Transactions on Fuzzy Systems 19 3 2011 527 539
61. D. Pereira, L. Gonćalves, G.P. Dimuro, and A.R.C. Costa Towards the self-regulation of personality-based social exchange processes in multiagent systems G. Zaverucha, A. da Costa, Advances in Artificial Intelligence - SBIA 2008 Lecture Notes in Computer Science vol. 5249 2008 Springer Berlin/Heidelberg 113 123
62. A.C. Povey, R.G. Grainger, D.M. Peters, J.L. Agnew, and D. Rees Estimation of a lidar's overlap function and its calibration by nonlinear regression Applied Optics 51 21 2012 5130 5143
63. A.S. Rao, and M.P. Georgeff Modeling rational agents within a BDI-architecture R. Fikes, E. Sandewall, Proceedings of the 2nd International Conference on Principles of Knowledge Representation and Reasoning 1991 Morgan Kaufmann San Mateo 473 484
64. A.S. Rao, and M.P. Georgeff An abstract architecture for rational agents Proceedings of the 3rd International Conference on Principles of Knowledge Representation and Reasoning (KR'92) 1992 Morgan Kaufman 439 449
65. R.H.S. Reiser, and B.C. Bedregal Robustness of N-dual fuzzy connectives P. Melo-Pinto, P. Couto, C. Serôdio, J. Fodor, B. De Baets, Proceedings of Eurofuse 2011, Worskhop on Fuzzy Methods for Knowledge-Based Systems Advances in Intelligent and Soft Computing vol. 107 2011 Springer Berlin 79 90
66. R.H.S. Reiser, G.P. Dimuro, B.C. Bedregal, and R.H.N. Santiago Interval valued QL-implications D. Leivant, R. de Queiroz, Logic, Language, Information and Computation Lecture Notes in Computer Science vol. 4576 2007 Springer Berlin 307 321
67. M. Roubens, and P. Vincke Preference Modeling Lecture Notes in Economics and Mathematical Systems vol. 250 1985 Springer Berlin
68. F.C.P. Santos, T.F. Rodrigues, G. Dimuro, D.F. Adamatti, G.P. Dimuro, A.C.R. Costa, and E. De Manuel Jerez Modeling role interactions in a social organization for the simulation of the social production and management of urban ecosystems: the case of San Jerónimo vegetable garden of Seville, Spain 2012 Third Brazilian Workshop on Social Simulation (BWSS) 2012 IEEE Los Alamitos 136 139 http://dx.doi.org/10.1109/BWSS.2012.17
69. I.S. Santos, T. Rodrigues, G.P. Dimuro, A.R.C. Costa, G. Dimuro, E. de Manuel, and E. De Manuel Jerez Towards the modeling of the social organization of an experiment of social management of urban vegetable gardens 2011 Workshop and School of Agent Systems, their Environment and Applications (WESAAC) 2011 IEEE Los Alamitos 98 101 http://dx.doi.org/10.1109/WESAAC.2011.17
70. B. Schweizer, and A. Sklar Associative functions and statistical triangle inequalities Publicationes Mathematicae Debrecen 8 1961 168 186
71. B. Schweizer, and A. Sklar Associative functions and abstract semigroups Publicationes Mathematicae Debrecen 10 1963 69 81
72. E. Trillas On negation functions in the theory of fuzzy sets Stochastica 3 1 1979 47 59 (in Spanish)
73. C.L. Walker, and E.A. Walker Powers of t-norms Fuzzy Sets and Systems 129 1 2002 1 18
74. T.-C. Wang, and Y.-H. Chen Applying fuzzy linguistic preference relations to the improvement of consistency of fuzzy AHP Information Sciences 178 19 2008 3755 3765
75. L. Zadeh Fuzzy sets as a basis for a theory of possibility Fuzzy Sets and Systems 1 1 1978 3 28
76. L.A. Zadeh Fuzzy sets Information and Control 8 3 1965 338 353
77. S. Zadrozny, J. Kacprzyk, Bipolar queries: an approach and its various interpretations, in: Proceedings of the 2009 International Fuzzy Systems Association World Congress, 2009 European Society for Fuzzy Logic and Technology Conference, IFSA-EUSFLAT, Lisboa, 2009, pp. 1288-1293.
78. V.I. Zubov Methods of A.M. Lyapunov and their applications 1964 P. Noordhoff Groningen