Aggregation of T-Transitive Relations

International Journal of Intelligent Systems

Volumn 18, Issue 12, 2003, Pages 1193-1214

  Jacas, J ^a   Recasens, J ^a  

^a UNIVERSITAT POLITÈCNICA DE CATALUNYA   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATIONAL METHODS; MATHEMATICAL OPERATORS; PARAMETER ESTIMATION;

ORDERED WEIGHTED AVERAGING (OWA);

FUZZY SETS;

EID: 0344875583     PISSN: 08848173     EISSN: None     Source Type: Journal    
DOI: 10.1002/int.10141     Document Type: Article

References (18)

1. Zadeh LA. Similarity relations and fuzzy orderings. Inf Sci 1971;3:177-200.
2. Hajek P. Metamathematics of fuzzy logic. Dordrecht, The Netherlands: Kluwer; 1998.
3. Bezdek JC, Harris JO. Fuzzy partitions and relations: An axiomatic basis for clustering. Fuzzy Sets Syst 1978;1:112-127.
4. Liu Y, Kerre E. An overview of fuzzy quantifiers (I). Interpretations. Fuzzy Sets Syst 1998;95:1-21.
5. Valverde L. On the structure of F-indistinguishability operators. Fuzzy Sets Syst 1985;17: 313-328.
6. Boixader D, Jacas J, Recasens J. Fuzzy equivalence relations: advanced material. In: Dubois, Prade, editors. Fundamentals of fuzzy sets. Dordrecht, The Netherlands: Kluwer; 2000. pp 261-290.
7. Jacas J. Contribució a l'estudi de les relacions d'indistingibilitat i a les seves aplicacions als processos de classificació. Ph.D. dissertation, Technical University of Catalonia; 1987.
8. Jacas J, Recasens J. Maps between indistinguishability operators. In: Proc IFSA-NAFIPS 2001 Congress. Vancouver; 2001. pp 1171-1175.
9. Jacas J, Recasens J. Maps and isometries between indistinguishability operators. Soft Comput 2002;6:14-20.
10. Schweizer B, Sklar A. Probabilistic metric spaces. Amsterdam: North-Holland; 1983.
11. Pradera A, Trillas E, Castiñeira E. On the aggregation of some classes of fuzzy relations. In: Bouchon-Meunier B, Gutiérrez J, Magdalena L, Yager R, editors. Technologies for constructing intelligent systems. Heidelberg: Springer-Verlag; 2002. pp 125-147.
12. Pradera A, Trillas E. A note on pseudometrics aggregation. Int J Gen Syst. 2002;31(1):41-51.
13. Ovchinikov S. Aggregating transitive fuzzy binary relations. IJUFKBS 1995;3:47-55.
14. Saminger S, Mesiar R, Bodenhofer U. Domination of aggregation operators and preservation of transitivity. Int J Ucertain Fuzziness Knowl Based Syst 2002;10(Suppl):11-35.
15. Aczel J. Lectures on functional equations and their applications. New York/London: Academic Press; 1966.
16. Bezdek JC. Pattern recognition with fuzzy objective function algorithms. New York: Plenum Press; 1981.
17. Yager RR. On ordered weighted averaging aggregation operators in multicriteria decision making. IEEE Trans Syst Man Cybern 1988;18:183-190.
18. Yager RR, Filev DP. Essentials of fuzzy modeling and control. New York: John Wiley & Sons, Inc.; 1994.