Uninorm solutions and (or) nullnorm solutions to the modularity condition equations

Fuzzy Sets and Systems

Volumn 148, Issue 2, 2004, Pages 231-242

  Feng, Qin ^a,b  

^a SICHUAN UNIVERSITY   (China)

^b JIANGXI NORMAL UNIVERSITY   (China)

Author keywords

Modularity condition equations; Nullnorms; Uninorms

Indexed keywords

EXPERT SYSTEMS; FUNCTION EVALUATION; MATHEMATICAL OPERATORS; OPTIMIZATION; PROBLEM SOLVING; SET THEORY; THEOREM PROVING;

MODULARITY CONDITION EQUATIONS; NON-TRIVIAL SOLUTIONS; NULLNORMS; UNINORMS;

FUZZY SETS;

EID: 5644221662     PISSN: 01650114     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.fss.2004.04.012     Document Type: Article

References (14)

1. De Baets B. Idempotent uninorms. European J. Oper. Res. 118:1999;631-642.
2. De Baets B. Residual operators of uninorms. Soft Comput. 3:1999;89-100.
3. Calvo T., De Baets B., Fodor J. The functional equations of Frank and Alsina for uninorms and nullnorms. Fuzzy Sets and Systems. 120:2001;385-394.
4. Calvo T., Mesiar R. Weighted triangular norms-based aggregation operators. Fuzzy Sets and Systems. 137:2003;3-10.
5. Dubois D., Prade H. Fundamentals of Fuzzy Sets. 2000;Kluwer Academic Publishers, Boston, MA.
6. Fodor J.C., Yager R.R., Rybalov A. Structure of uninorms. Internat. J. Uncertainty Fuzziness Knowledge-based Systems. 5(4):1997;411-427.
7. Hu S., Li Z. The structure of continuous uni-norms. Fuzzy Sets and Systems. 124:2001;43-52.
8. Klement E.P., Mesiar R., Pap E. Triangular Norms. 2000;Kluwer Academic Publishers, Dordrecht.
9. Li Y., Shi Z. Remarks on uninorms aggregation operators. Fuzzy Sets and Systems. 114:2000;377-380.
10. Mas M., Mayor G., Torrens J. t-operators. Internat. J. Uncertainty Fuzziness and Knowledge-based Systems. 7(1):1999;31-50.
11. Mas M., Mayor G., Torrens J. The modularity condition for uninorms and t-operators. Fuzzy Sets and Systems. 126:2002;207-218.
12. Novak V., et al. Mathematical Principles of Fuzzy Logic. 1999;Kluwer Academic Publishers, Boston, MA.
13. Yager R.R. Uninorms in fuzzy systems modelling. Fuzzy Sets and Systems. 122:2001;167-175.
14. Yager R.R., Rybalov A. Uninorm aggregation operators. Fuzzy Sets and Systems. 80:1996;111-120.