Contrapositive symmetrisation of fuzzy implications-Revisited

Fuzzy Sets and Systems

Volumn 157, Issue 17, 2006, Pages 2291-2310

  Balasubramaniam, J ^a  

^a SRI SATHYA SAI INSTITUTE OF HIGHER LEARNING   (India)

Author keywords

Contrapositive symmetry; Contrapositivisation; N compatibility; Residuated implications; S implications

Indexed keywords

COMPUTATIONAL COMPLEXITY; COMPUTATIONAL METHODS; MATHEMATICAL OPERATORS; NUMERICAL METHODS;

CONTRAPOSITIVE SYMMETRY; CONTRAPOSITIVISATION; N-COMPATIBILITY; RESIDUATED IMPLICATIONS; S-IMPLICATIONS;

FUZZY SETS;

EID: 33746282222     PISSN: 01650114     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.fss.2006.03.015     Document Type: Article

References (13)

1. Baczynski M. Residual implications revisited. Notes on the Smets-Magrez theorem. Fuzzy Sets and Systems 145 2 (2004) 267-278
2. Bandler W., and Kohout L. Semantics of implication operators and fuzzy relational products. Internat. J. Man Machine Stud. 12 (1980) 89-116
3. Bustince H., Burillo P., and Soria F. Automorphisms negation and implication operators. Fuzzy Sets and Systems 134 3 (2004) 209-229
4. Cignoli R., et al. On a class of left-continuous t-norms. Fuzzy Sets and Systems 131 (2002) 283-296
5. 0 implication: characteristics and applications. Fuzzy Sets and Systems 131 (2002) 297-302
6. Fodor J.C. Contrapositive symmetry of fuzzy implications. Fuzzy Sets and Systems 69 (1995) 141-156
7. Fodor J.C., and Roubens M. Fuzzy Preference Modelling and Multicriteria Decision Support (1994), Kluwer Academic Publishers, Dordrecht
8. Gottwald S. A treatise on many-valued logics, Studies in Logic and Computation (2001), Research Studies Press, Ltd., Baldock
9. Jenei S. New family of triangular norms via contrapositive symmetrization of residuated implications. Fuzzy Sets and Systems 110 (2000) 157-174
10. Klement E.P., Mesiar R., and Pap E. Triangular Norms (2000), Kluwer Academic Publishers, Dordrecht
11. Klir G.J., and Yuan B. Fuzzy Sets and Fuzzy Logic-Theory and applications (1995), Prentice-Hall, Englewood Cliffs
12. Trillas E., and Valverde L. On implication and indistinguishability in the setting of fuzzy logic. In: Kacpryzk J., and Yager R.R. (Eds). Management Decision Support Systems Using Fuzzy Sets and Possibility Theory (1985), Verlag TÜV-Rhineland, Köln 198-212
13. Yager R.R. On some new classes of implication operators and their role in approximate reasoning. Inform. Sci. 167 (2004) 193-216