On a New Class of Implications in Fuzzy Logic

Communications in Computer and Information Science

Volumn 80 PART 1, Issue , 2010, Pages 525-534

  Shi, Yun ^a   Van Gasse, Bart ^a   Ruan, Da ^a,b   Kerre, Etienne ^a  

^a GHENT UNIVERSITY   (Belgium)

^b BELGIAN NUCLEAR RESEARCH CENTRE   (Belgium)

Author keywords

ukasiewicz implication; fuzzy implication; fuzzy implication axiom; negation; R implication; S implication; Sugeno negation

Indexed keywords

FUZZY IMPLICATIONS; NEGATION; R-IMPLICATION; S IMPLICATIONS; SUGENO NEGATION;

DATA PROCESSING; FUZZY LOGIC; KNOWLEDGE BASED SYSTEMS;

INFORMATION MANAGEMENT;

EID: 84875515264     PISSN: 18650929     EISSN: None     Source Type: Book Series    
DOI: 10.1007/978-3-642-14055-6_55     Document Type: Conference Paper

References (13)

1. Baczynski, M., Jayaram, B.: Fuzzy Implications. Springer, Heidelberg (2008)
2. Baczynski, M.: Residual implications revisited. Notes on the Smets-Magrez Theorem. Fuzzy Sets and Systems 145, 267-277 (2004)
3. Bustince, H., Burillo, P., Soria, F.: Automorphisms, negations and implication operators. Fuzzy Sets and Systems 134, 209-229 (2003)
4. Fodor, J.C., Roubens, M.: Fuzzy Preference Modelling and Multicriteria Decision Support. Kluwer Academic Publishers, Dordrecht (1994)
5. Fodor, J.C.: Contrapositive symmetry of fuzzy implications. Fuzzy Sets and Systems 69, 141-156 (1995)
6. Kerre, E., Nachtegael, M.: Fuzzy Techniques in Image Processing. Physica-Verlag, New York (2000)
7. Klement, E.P., Mesiar, R., Pap, E.: Triangular Norms. Kluwer Academic Publishers, Netherlands (2000)
8. Klir, G.J., Yuan, B.: Fuzzy Sets and Fuzzy Logic, Theory and Applications. Prentice Hall, USA (1995)
9. Ruan, D., Kerre, E.: Fuzzy implication operators and generalized fuzzy method of cases. Fuzzy Sets and Systems 54, 23-37 (1993)
10. Ruan, D., Kerre, E.: Fuzzy IF-THEN Rules in Computational Intelligence: Theory and Applications. Kluwer Academic Publishers, Boston (2000)
11. Mas, M., Monserrat, M., Torrens, J., Trillas, E.: A survey on fuzzy implication functions. IEEE Transactions on Fuzzy Systems 15(6), 1107-1121 (2007)
12. Shi, Y., Van Gasse, B., Ruan, D., Kerre, E.: On dependencies and independencies of fuzzy implication axioms. Fuzzy Sets and Systems, doi:10.1016/j.fss.2009.12.003
13. Yager, R.R.: On some new classes of implication operators and their role in approximate reasoning. Information Sciences 167, 193-216 (2004)