Title of paper:
|
Assigning the parameters for intuitionistic fuzzy sets
|
Author(s):
|
Eulalia Szmidt
|
Systems Research lnstitute - Polish Academy of Sciences, ul. Newelska 6, OL-447 Warsaw, Poland
|
szmidt@ibspan.waw.pl
|
Jim Baldwin
|
Department of Engineering Mathematics, University of Bristol, Bristol BS8 1TR, England
|
Jim.Baldwin@bristol.ac.uk
|
|
Presented at:
|
1st International Workshop on Intuitionistic Fuzzy Sets, 22 September 2005, Banská Bystrica, Slovakia
|
Published in:
|
"Notes on IFS", Volume 11 (2005), Number 6, pp 13-20
|
Download:
|
PDF (143 Kb, File info)
|
Abstract:
|
In this article we propose two ways of assigning the parameters for intuitionistic fuzzy sets: by asking experts, and from relative frequency distributions (histograms).
|
References:
|
- Atanassov K. (1983), Intuitionistic Fuzzy Sets. VII ITKR Session. Sofia (Deposed in Centr. Sci.-Techn. Library of Bulg. Acad. of Sci., 1697/84) (in Bulgarian).
- Atanassov K. (1986), Intuitionistic fuzzy sets. Fuzzy Sets and Systems, 20, 87—96.
- Atanassov K. (1989), More on intuitionistic fuzzy sets, Fuzzy Sets and Systems 33, 37—46.
- Atanassov K. (1994), New operations defined over the intuitionistic fuzzy sets, Fuzzy Sets and Systems 61, 137—142.
- Atanassov K. (1999), Intuitionistic Fuzzy Sets: Theory and Applications. Springer-Verlag.
- Baldwin. J.F. (1991), Combining Evidences for Evidential Reasoning. International Journal of Intelligent Systems, 6, 569—616.
- Baldwin J.F. (1992b), The Management of Fuzzy and Probabilistic Uncertainties for Knowledge Based Systems. In Encyclopaedia of AI (ed. S.A. Shapiro), John Wiley (2nd ed.) 528—537.
- Baldwin J.F. (1994), Mass assignments and fuzzy sets for fuzzy databases. In. Advances in the Dempster-Shafer theory of evidence. Ed. R. Yager at al. John Wiley, 577—594.
- Baldwin J.F., Pilsworth B.W. (1990), Semantic Unification with Fuzzy Concepts in Fril. IPMU’90, Paris.
- Baldwin J.F., T.P. Martin, B.W. Pilsworth (1995) FRIL — Fuzzy and Evidential Reasoning in Artificial Intelligence. John Wiley.
- Baldwin J.F., Lawry J., Martin T.P.(1995a), A Mass Assignment Theory of the Probability of Fuzzy Events. ITRC Report 229, University of Bristol, UK.
- Baldwin J.F., Coyne M.R., Martin T.P.(1995b), Intelligent Reasoning Using General Knowledge to Update Specific Information: A Database Approach. Journal of Intelligent Information Systems, 4, 281—304.
- Baldwin J.F., T.P. Martin (1996), FRIL as an Implementation Language for Fuzzy Information Systems. IPMU’96, Granada, 289—294.
- Baldwin J.F., J. Lawry, T.P. Martin (1998), The Application of generalized Fuzzy Rules to Machine Learning and Automated Knowledge Discovery. International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, Vol. 6, No. 5, 459—487.
- Dubois D. and Prade H. (1983) Unfair coins and necessity measures: towards a possibilistic interpretation of histograms. Fuzzy Sets and Systems 10 (1983) 15—20.
- Dubois D. and Prade H. (1997) The three semantics of fuzzy sets. Fuzzy Sets and Systems, Vol. 90, 141 — 150.
- Kahneman D. (2002) Maps of bounded rationality: a perspective on intuitive judgment and choice. Nobel Prize Lecture, December 8, 2002.
- Sutherland S. (1994) Irrationality. The Enemy Within. Penguin Books.
- Szmidt E. and Baldwin J. (2003) New similarity measure for intuitionistic fuzzy set theory and mass assignment theory. Notes on IFSs, Vol. 9, No. 3, 60—76.
- Szmidt E. and Baldwin J. (2004) Entropy for intuitionistic fuzzy set theory and mass assignment theory. Notes on IFSs, Vol. 10, No. 3, 15—28.
- Szmidt E. and Kacprzyk J. (1996a) Intuitionistic fuzzy sets in group decision making. Notes on IFS, Vol. 2, 15—32.
- Szmidt E. and Kacprzyk J. (1996c) Remarks on some applications of intuitionistic fuzzy sets in decision making. Notes on IFS, Vol.2, No.3, 22—31.
- Szmidt E. and Kacprzyk J. (1998a) Group Decision Making under Intuitionistic Fuzzy Preference Relations. Proc. IPMU’98, 172—178.
- Szmidt E. and Kacprzyk J. (1999). Probability of Intuitionistic Fuzzy Events and their Applications in Decision Making. Proc. of EUSFLAT-ESTYLF Conf. 1999. Palma de Mallorca, 457—460.
- Szmidt E. and Kacprzyk J. (1999b) - A Concept of a Probability of an Intuitionistic Fuzzy Event. Proc. of FUZZ-IEEE’99 - 8th IEEE International Conference on Fuzzy Systems, August 22-25, 1999 Seoul, Korea, III 1346—1349.
- E.Szmidt and J. Kacprzyk (2000b) On Measures of Consensus Under Intuitionistic Fuzzy relations. Proc. IPMU’2000, Madrid, July 3-7, 641—647.
- E.Szmidt and J. Kacprzyk (2002a) — Analysis of Agreement in a Group of Experts via Distances Between Intuitionistic Fuzzy Preferences. Proc. IPMU’2002, Annecy, France, 1-5 July, 1859—1865.
- E.Szmidt and J. Kacprzyk (2002b) An Intuitionistic Fuzzy Set Based Approach to Intelligent Data Analysis (an application to medical diagnosis). In A. Abraham, L. Jain, J. Kacprzyk (Eds.): Recent Advances in Intelligent Paradigms and Applications. Springer-Verlag, 57—70.
- E.Szmidt and J. Kacprzyk (2002c) Evaluation of Agreement in a Group of Experts via Distances Between Intuitionistic Fuzzy Sets. Proc. IS’2002 — Int. IEEE Symposium: Intelligent Systems, Varna, Bulgaria, IEEE Catalog Number 02EX499, 166—170.
- Szmidt E. and Kacprzyk J. (2005) A New Concept of a Similarity Measure for Intuitionistic Fuzzy Sets and its Use in Group Decision Making. In V. Torra, Y. Narukawa, S. Miyamoto (Eds.): Modelling Decisions for Artificial Intelligence. LNAI 3558, Springer 2005, 272—282.
- Yager R.R. (1979) Level sets for membership evaluation of fuzzy subsets. Tech. Rep. RRY-79-14, Iona College, New York. Also in: R.Yager, Ed., Fuzzy Set and Possibility Theory — Recent Developments. Pergamon Press, Oxford 1982, 90—97.
- Yamada K. (2001) Probability—Possibility Transformation Based on Evidence Theory. Proc. IFSA—NAFIPS’2001, 70—75.
- Zadeh L.A. (1965) Fuzzy sets. Information and Control, 8, 338—353.
- Zadeh L.A. (1978) Fuzzy Sets as the Basis for a Theory of Possibility. Fuzzy Sets and Systems, 1, 3—28.
|
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.
|
|