Type-2 implications on non-interactive fuzzy truth values

Fuzzy Sets and Systems

Volumn 159, Issue 22, 2008, Pages 3014-3032

  Gera, Zsolt ^a   Dombi, József ^a  

^a UNIVERSITY OF SZEGED   (Hungary)

Author keywords

Fuzzy implications; Fuzzy truth values; Residuation; Type 2 fuzzy logic

Indexed keywords

FUZZY IMPLICATIONS; FUZZY TRUTH VALUES; RESIDUATION; TRUTH VALUES; TYPE-2 FUZZY LOGIC;

ALGEBRA;

EID: 51249105087     PISSN: 01650114     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.fss.2008.01.017     Document Type: Article

References (23)

1. M. Baczyński, On some properties of intuitionistic fuzzy implications, in: M. Wagenknecht, R. Hampel (Eds.), Proc. Third Internat. Conf. in Fuzzy Logic and Technology, 2003.
2. Biacino L., and Lettieri A. Equations with fuzzy numbers. Inform Sci. 47 1 (1989) 63-76
3. Deschrijver G., and Kerre E.E. On the relationship between some extensions of fuzzy set theory. Fuzzy Sets and Systems 133 2 (2003) 227-235
4. Dubois D., and Prade H. Operations on fuzzy numbers. Internet. J. Systems Sci. 9 (1978) 613-626
5. Dubois D., and Prade H. Operations in a fuzzy-valued logic. Inform. and Control 43 2 (1979) 224-240
6. D. Dubois, H. Prade, J.C. Bezdek (Eds.), Fuzzy Sets in Approximate Reasoning and Information Systems, Kluwer Academic Publishers, Norwell, MA, USA, 1999.
7. Fodor J. On fuzzy implication operators. Fuzzy Sets and Systems 42 (1991) 293-300
8. Fodor J., and Roubens M. Fuzzy Preference Modelling and Multicriteria Decision Support (1994), Kluwer, Dordrecht
9. Z. Gera, J. Dombi, Exact calculations of extended logical operations on fuzzy truth values, Fuzzy Sets and Systems, 2007, in press, doi:10.1016/j.fss.2007.09.020.
10. Karnik N., and Mendel J.M. Operations on type-2 fuzzy sets. Fuzzy Sets and Systems 122 (2001) 327-348
11. J.M. Mendel, Fuzzy sets for words: a new beginning, in: IEEE Internat. Conf. on Fuzzy Systems, St. Louis, MO, 2003.
12. Mendel J.M. Advances in type-2 fuzzy sets and systems. Inform. Sci. 177 1 (2007) 84-110
13. Mendel J.M., and John R.I. Type-2 fuzzy sets made simple. IEEE Trans. Fuzzy Syst. 10 (2002) 117-127
14. Mizumoto M., and Tanaka K. Some properties of fuzzy sets of type 2. Inform. and Control 31 (1976) 312-340
15. Mizumoto M., and Tanaka K. Fuzzy sets of type 2 under algebraic product and algebraic sum. Fuzzy Sets and Systems 5 (1981) 277-290
16. Nieminen J. On the algebraic structure of fuzzy sets of type-2. Kybernetika 13 (1977) 261-273
17. Smets P., and Magrez P. Implication in fuzzy logic. Internat. J. Approx. Reason. 1 (1987) 327-347
18. J. Starczewski, Extended triangular norms on gaussian fuzzy sets, in: Proc. EUSFLAT-LFA, Barcelona, Spain, 2005.
19. J.T. Starczewski, A triangular type-2 fuzzy logic system, in: Proc. FUZZ-IEEE 2006, Vancouver, Canada, 2006.
20. E. Trillas, L. Valverde, On some functionally expressable implications for fuzzy set theory, in: Third Internat. Seminar on Fuzzy Set Theory, Johannes Kepler Universitat, 1981.
21. E. Trillas, L. Valverde, On inference in fuzzy logic, in: Proc. Second Internat. Fuzzy Systems Association (IFSA'87) Congress, 1987.
22. Walker C.L., and Walker E.A. The algebra of fuzzy truth values. Fuzzy Sets and Systems 149 (2005) 309-347
23. Zadeh L.A. The concept of a linguistic variable and its application to approximate reasoning-1. Inform. Sci. 8 (1975) 199-249