Aggregation functions in fuzzy systems

Studies in Computational Intelligence

Volumn 241, Issue , 2009, Pages 25-50

  Fodor, János ^a  

^a BUDAPEST UNIVERSITY OF TECHNOLOGY AND ECONOMICS   (Hungary)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 70350164983     PISSN: 1860949X     EISSN: None     Source Type: Book Series    
DOI: 10.1007/978-3-642-03633-0_2     Document Type: Article

References (31)

1. Aczél, J.: On Mean Values. Bulletin of the American Math. Society 54, 392-400 (1948)
2. Aczél, J., Maksa, G.: Solution of the Rectangular m x n Generalized Bisymmetry Equation and of the Problem of Consistent Aggregation. Journal of Mathematical Analysis and Applications 203, 104-126 (1996)
3. Aczél, J., Maksa, G., Taylor, M.: Equations of Generalized Bisymmetry and of Consistent Aggregation: Weakly Surjective Solutions which be Discontinuous at Laces. Journal of Mathematical Analysis and Applications 214, 22-35 (1997)
4. Batyrshin, I., Kaynak, O., Rudas, I.: Fuzzy Modeling Based on Generalized Conjunction Operations. IEEE Transactions on Fuzzy Systems 10, 678-683 (2002)
5. Buchanan, B., Shortliffe, E.: Rule-based Expert Systems. In: The MYCIN Experiments of the Stanford Heuristic Programming Project. Addison-Wesley, Reading (1984)
6. Calvo, T., De Baets, B., Fodor, J.: The Functional Equations of Frank and Alsina for Uninorms and Nullnorms. Fuzzy Sets and Systems 120, 385-394 (2001)
7. Czogała, E., Drewniak, J.: Associative Monotonic Operations in Fuzzy Set Theory. Fuzzy Sets and Systems 12, 249-269 (1984)
8. De Baets, B., Fodor, J.: Van Melle's Combining Function in MYCIN is a Representable Uninorm: An Alternative Proof. Fuzzy Sets and Systems 104, 133-136 (1999)
9. De Baets, B., Fodor, J.: Residual Operators of Uninorms. Soft Computing 3, 89-100 (1999)
10. Dombi, J.: Basic Concepts for the TheorT of Evaluation: the Aggregative Operator. European J. Oper. Res. 10, 282-293 (1982)
11. Dubois, D., Fodor, J.C., Prade, H., Roubens, M.: Aggregation of Decomposable Measures with Application to Utility Theory. Theory and Decision 41, 59-95 (1996)
12. Fodor, J.C.: A New Look at Fuzzy Connectives. Fuzzy Sets and Systems 57, 141-148 (1993)
13. Fodor, J.: An extension of Fung-Fu's Theorem. Internat. J. Uncertain. Fuzziness Knowledge-based Systems 4, 235-243 (1996)
14. Fodor, J., Calvo, T.: Aggregation Functions Defined by t-norms and t-conorms. In: Bouchon-Meunier, B. (ed.) Aggregation and Fusion of Imperfect Information, pp. 36-48. Physica-Verlag (1998)
15. Fodor, J.C., Marichal, J.-L.: On Nonstrict Means. Aequationes Mathematicae 54, 308-327 (1997)
16. Fodor, J.C., Roubens, M.: Fuzzy Preference Modelling and Multicriteria Decision Support. Kluwer, Dordrecht (1994)
17. Fodor, J., Yager, R., Rybalov, A.: Structure of Uninorms. Internat. J. Uncertain. Fuzziness Knowledge-Based Systems 5, 411-427 (1997)
18. Fung, L., Fu, K.: An Axiomatic Approach to Rational Decision-Making in a Fuzzy Environment. In: Tanaka, K., Zadeh, L., Fu, K., Shimura, M. (eds.) Fuzzy Sets and their Applications to Cognitive and Decision Processes, pp. 227-256. Academic Press, New York (1975)
19. Hajek, P., Havranek, T., Jirousek, R.: Uncertain Information Processing in Expert Systems. CRC Press, Boca Raton (1992)
20. Klein, L.R.: Remarks on the Theory of Aggregation. Econometrica 14, 303-312 (1946)
21. Klement, E.P., Mesiar, R., Pap, E.: On the Relationship of Associative Compensatory Operators to Triangular Norms and Conorms. Internat. J. Uncertain. Fuzziness Knowledge-based Systems 4, 129-144 (1996)
22. Klement, E.P., Mesiar, R., Pap, E.: Trends in Logic, vol. 8. Kluwer Academic Publishers, Dordrecht (2000)
23. Klir, J.G., Folger, T.A.: Fuzzy Sets, Uncertainty, and Information. Prentice-Hall International Editions, USA (1988)
24. Maksa, G.: Associativity and Bisymmetry Equations. Thesis for the title "Doctor of the Hungarian Academy of Sciences" (2004) (in Hungarian)
25. Mayor, G., Trillas, E.: On the Representation of some Aggregation Functions. In: Proc. Internat. Symposium on Multiple-Valued Logic, pp. 110-114 (1986)
26. Nelsen, R.B.: An Introduction to Copulas, 2nd edn. Springer, Heidelberg (2006)
27. Sander, W.: Some Aspects of Functional Equations. In: Klement, E.P., Mesiar, R. (eds.) Logical, Algebraic, Analytic and Probabilistic Aspects of Triangular Norms, pp. 43-187. Elsevier, Amsterdam (2005)
28. Tsadiras, A., Margaritis, K.: The MYCIN Certainty Factor Handling Function as Uninorm Operator and its Use as a Threshold Function in Artificial Neurons. Fuzzy Sets and Systems 93, 263-274 (1998)
29. Yager, R., Rybalov, A.: Uninorm Aggregation Operators. Fuzzy Sets and Systems 80, 111-120 (1996)
30. Zadeh, L.A.: Fuzzy Sets. Information and Control 8, 338-353 (1965)
31. Zimmermann, H.-J., Zysno, P.: Latent Connectives in Human Decision Making. Fuzzy Sets and Systems 4, 37-51 (1980)