| Title of paper:
|
Intuitionistic fuzzy sets - an alternative look
|
| Author(s):
|
| Anna Pankowska
|
| Faculty of Mathematics and Computer Science, Adam Mickiewicz University, Umultowska 87, 61-614 Poznan, Poland
|
|
|
| Maciej Wygralak
|
| Faculty of Mathematics and Computer Science, Adam Mickiewicz University, Umultowska 87, 61-614 Poznan, Poland
|
| wygralak@math.amu.edu.pl
|
|
| Presented at:
|
3rd Conference of the European Society for Fuzzy Logic and Technology, Zittau, Germany, September 10-12, 2003
|
| Published in:
|
Conference proceedings, pages 135-140
|
| Download:
|
 PDF (71 Kb, File info)
|
| Abstract:
|
This paper concerns the theory of intuitionistic fuzzy sets according to Atanassov. If triangular norms, especially nonstrict Archimedean ones, are used, we propose a revision and a flexibilizing generalization of some fundamental notions and constructions of that theory. Its application to group decision making is outlined.
|
| Keywords:
|
Intuitionistic fuzzy set, Triangular norm, Scalar cardinality, Group decision making
|
| References:
|
- K. Atanassov, Intuitionistic Fuzzy Sets: Theory and Applications, Physica-Verlag, Heidelberg New York, 1999.
- K. Atanassov and S. Stoeva, Intuitionistic fuzzy sets, in: Proc. Polish Symp. Interval and Fuzzy Mathematics, Poznan, 1983, 23-26.
- G. Deschrijver and E. Kerre, A generalisation of operators on intuitionistic fuzzy sets using triangular norms and conorms, Notes on IFS 8 (2002), 19-27.
- S. Gottwald, A Treatise on Many-Valued Logics, Research Studies Press, Baldock, Hertfordshire, 2001.
- J. Kacprzyk, Group decision making with a fuzzy linguistic majority, Fuzzy Sets abd Systems, 18 (1986) 105-118.
- E. P. Klement, R. Mesiar and E. Pap, Triangular Norms, Kluwer, Dordrecht, 2000.
- A. Pankowska and M. Wygralak, On triangular norm-based intuitionistic fuzzy sets, in preparation.
- E. Szmidt and J. Kacprzyk, Group decision making under intuitionistic fuzzy preference relations, in: Proc. 7th IPMU Conf., Paris, 1998, 172-178.
- E. Szmidt and J. Kacprzyk, Decision making in an intuitionistic fuzzy environment, in: Proc. Joint 4th EUROFUSE and 2nd SIC Conf., Budapest, 1999, 292-297.
- E. Szmidt and J. Kacprzyk, Entropy for intuitionistic fuzzy sets, Fuzzy Sets and Systems 118 (2001) 467-477.
- G. Takeuti and S. Titani, Intuitionistic fuzzy logic and intuitionistic fuzzy set theory, J. Symb.Logic, 49 (1984) 851-866.
- G. Takeuti and S. Titani, Fuzzy logic and fuzzy set theory, Arch. Math. Logic, 32 (1992) 1-32.
- G. J. Wang and Y. Y. He, Intuitionistic fuzzy sets and L-fuzzy sets, Fuzzy Sets and Systems 110 (2000) 271-274.
- M. Wygralak, An axiomatic approach to scalar cardinalities of fuzzy sets, Fuzzy Sets and Systems 110 (2000) 175-179.
- M. Wygralak, Cardinalities of Fuzzy Sets, Springer-Verlag, Berlin Heidelberg 2003.
- M. Wygralak, Cardinalities of fuzzy sets with triangular norms, in: Proc. EUSFLAT'2003 Conf., Zittau, 2003.
- L. A. Zadeh, A computational approach to fuzzy quantifiers in natural languages, Comput. and Math. with Appl. 9 (1983) 149-184.
|
| Citations:
|
The list of publications, citing this article may be empty or incomplete. If you can provide relevant data, please, write on the talk page.
|
|
