Intersection of Yager's implications with QL and D-implications

International Journal of Approximate Reasoning

Volumn 53, Issue 4, 2012, Pages 467-479

  Massanet, Sebastia ^a   Torrens, Joan ^a  

^a UNIVERSITAT DE LES ILLES BALEARS   (Spain)

Author keywords

f Implication; g Implication; Implication function; Yager's implications

Indexed keywords

CONSTRUCTION METHOD; F-IMPLICATION; G-IMPLICATION; IMPLICATION FUNCTION; OPEN PROBLEMS; T-CONORMS; YAGER'S IMPLICATIONS;

ARTIFICIAL INTELLIGENCE;

SOFTWARE ENGINEERING;

EID: 84858800306     PISSN: 0888613X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijar.2011.11.001     Document Type: Article

References (34)

1. I. Aguiló, J. Suñer, and J. Torrens A characterization of residual implications derived from left-continuous uninorms Information Sciences 180 20 2010 3992 4005
2. M. Baczyński, and B. Jayaram On the characterization of (S, N) -implications Fuzzy Sets and Systems 158 2007 1713 1727
3. M. Baczyński, and B. Jayaram Yager's classes of fuzzy implications: some properties and intersections Kybernetika 43 2007 157 182
4. M. Baczyński, and B. Jayaram Fuzzy Implications 2008 Springer Berlin Heidelberg
5. M. Baczyński, and B. Jayaram (U, N) -implications and their characterizations Fuzzy Sets and Systems 160 2009 2049 2062
6. M. Baczyński, and B. Jayaram QL-implications: some properties and intersections Fuzzy Sets and Systems 161 2 2010 158 188 Featured issue: Selected Papers from the FSTA 2008 Conference
7. M. Baczyński, and B. Jayaram Intersections between some families of (U, N) - and RU-implications Fuzzy Sets and Systems 167 1 2011 30 44 Special Issue: Aggregation techniques and applications Selected papers from AGOP'2009 dedicated to Jaume Casasnovas
8. E. Barrenechea, H. Bustince, B. De Baets, and C. Lopez-Molina Construction of interval-valued fuzzy relations with application to the generation of fuzzy edge images IEEE Transactions on Fuzzy Systems 19 15 2011 819 830
9. H. Bustince, V. Mohedano, E. Barrenechea, and M. Pagola Definition and construction of fuzzy DI-subsethood measures Information Sciences 176 2006 3190 3231 (Pubitemid 44163567)
10. 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 2007 906 929 (Pubitemid 44708143)
11. M. Carbonell, and J. Torrens Continuous R-implications generated from representable aggregation functions Fuzzy Sets and Systems 161 2010 2276 2289
12. B. De Baets, and J.C. Fodor Residual operators of uninorms Soft Computing 3 1999 89 100
13. F. Durante, E. Klement, R. Mesiar, and C. Sempi Conjunctors and their residual implicators: characterizations and construction methods Mediterranean Journal of Mathematics 4 2007 343 356
14. J.C. Fodor, and M. Roubens Fuzzy Preference Modelling and Multicriteria Decision Support 1994 Kluwer Academic Publishers Dordrecht
15. J.C. Fodor, R.R. Yager, and A. Rybalov Structure of uninorms International Journal of Uncertainty, Fuzziness and Knowledge-based Systems 5 1997 411 427 (Pubitemid 127531670)
16. S. Gottwald A Treatise on Many-Valued Logic 2001 Research Studies Press Baldock
17. B. Jayaram Rule reduction for efficient inferencing in similarity based reasoning International Journal of Approximate Reasoning 48 1 2008 156 173 (Pubitemid 351324065)
18. B. Jayaram, M. Baczynski, Intersections between basic families of fuzzy implications: (S, N) -, R and QL-implications, in: EUSFLAT Conf. 1, 2007, pp. 111-118.
19. E. Kerre, C. Huang, and D. Ruan Fuzzy Set Theory and Approximate Reasoning 2004 Wu Han University Press Wu Chang
20. E. Kerre, and M. Nachtegael Fuzzy techniques in image processing Studies in Fuzziness and Soft Computing vol. 52 2000 Springer-Verlag New York
21. E. Klement, R. Mesiar, and E. Pap Triangular Norms 2000 Kluwer Academic Publishers Dordrecht
22. M. Mas, M. Monserrat, and J. Torrens QL versus D-implications Kybernetika 42 2006 351 366
23. M. Mas, M. Monserrat, and J. Torrens Two types of implications derived from uninorms Fuzzy Sets and Systems 158 2007 2612 2626 (Pubitemid 47445751)
24. M. Mas, M. Monserrat, and J. Torrens The law of importation for discrete implications Information Sciences 179 2009 4208 4218
25. M. Mas, M. Monserrat, J. Torrens, and E. Trillas A survey on fuzzy implication functions IEEE Transactions on Fuzzy Systems 15 6 2007 1107 1121 (Pubitemid 350284156)
26. S. Massanet, and J. Torrens The law of importation versus the exchange principle on fuzzy implications Fuzzy Sets and Systems 168 1 2011 47 69
27. S. Massanet, J. Torrens, On the characterization of Yager's implications, Information Sciences, in press.
28. A.M. Radzikowska, and E.E. Kerre A comparative study of fuzzy rough sets Fuzzy Sets and Systems 126 2 2002 137 155 (Pubitemid 34116140)
29. D. Ruan, and E.E. Kerre Fuzzy IF-THEN Rules in Computational Intelligence: Theory and Applications 2000 Kluwer Academic Publishers Norwell, MA, USA
30. D. Ruiz, and J. Torrens Residual implications and co-implications from idempotent uninorms Kybernetika 40 2004 21 38 (Pubitemid 38770593)
31. D. Ruiz-Aguilera, and J. Torrens Distributivity of residual implications over conjunctive and disjunctive uninorms Fuzzy Sets and Systems 158 2007 23 37 (Pubitemid 44709769)
32. E. Trillas, M. Mas, M. Monserrat, and J. Torrens On the representation of fuzzy rules International Journal of Approximate Reasoning 48 2 2008 583 597
33. R. Yager On some new classes of implication operators and their role in approximate reasoning Information Sciences 167 2004 193 216
34. P. Yan, and G. Chen Discovering a cover set of ARsi with hierarchy from quantitative databases Information Sciences 173 2005 319 336 (Pubitemid 40744230)