Fuzziness and Roughness of Non-precise Quantities
DOI:
https://doi.org/10.17713/ajs.v28i4.521Abstract
Connections between fuzzy sets and rough sets are studied in description of non-precise quantities. Characterization of empirical distribution of non-precise observations in non-precise categories is proposed.References
S. Bodjanova. A generalized histogram. To appear in Fuzzy Sets and Systems, 1999a.
S. Bodjanova. Roughness and Fuzziness. Technical report, Texas A&M University-Kingsville, 1999b.
D. Dubois and H. Prade. Fuzzy Sets and Systems. Theory and Applications. Academic Press, New York, 1980.
H. Empotz. Nonprobabilistic entropies and indetermination measures in the setting of fuzzy sets theory. Fuzzy Sets and Systems, 5:307–317, 1981.
S. Fr¨uhwirth-Schnatter. On statistical inference for fuzzy data with applications to descriptive statistics. Fuzzy Sets and Systems, 50:143–165, 1992.
J. Kacprzyk and M. Federizzi. Combinig Fuzzy Imprecision with Probabilistic Uncertainty in Decision Making. Springer-Verlag, Berlin, 1988.
G.J. Klir and B. Yuan. Fuzzy Sets and Fuzzy Logic. Theory and Applications. Prentice Hall, Upper Saddle River, 1995.
R. Kruse and K.D. Meyer. Statistic with Vague Data. Reidel, Dordrecht, 1987.
S.K. Pal and A. Skowron, (eds.). Rough Fuzzy Hybridization. A New Trend in Decision Making. Springer-Verlag, Singapore, 1999.
Z. Pawlak. Rough sets. International Journal of Computer and Information Sciences, 11: 341–356, 1982.
Z. Pawlak. Rough Sets. Theoretical Aspects of Reasoning about Data. Kluwer, Dordrecht, 1991.
L. Polkowski and A. Skowron, (eds.). Rough Sets in Knowledge Discovery. Methodology and Applications. Physica-Verlag, Heidelberg, 1998.
Ch. Römer and A. Kandel. Statistical tests for fuzzy data. Fuzzy Sets and Systems, 72: 1–26, 1995.
C.E. Shannon. The mathematical theory of communication. The Bell System Technical Journal, 27:379–423, 1948.
R. Slowinski, (ed.). Intelligent Decision Support. Handbook of Applications and Advances of the Rough Set Theory. Kluwer, Dordrecht, 1992.
R. Viertl. Statistical Methods for Non-Precise Data. CRC Press, Boca Raton, 1996.
L.A. Zadeh. Fuzzy sets. Information and Control, 8:383–353, 1965.
W.P. Ziarko, (ed.). Rough Sets, Fuzzy Sets and Knowledge Discovery. Springer-Verlag, Berlin, 1994.
Downloads
Published
Issue
Section
License
The Austrian Journal of Statistics publish open access articles under the terms of the Creative Commons Attribution (CC BY) License.
The Creative Commons Attribution License (CC-BY) allows users to copy, distribute and transmit an article, adapt the article and make commercial use of the article. The CC BY license permits commercial and non-commercial re-use of an open access article, as long as the author is properly attributed.
Copyright on any research article published by the Austrian Journal of Statistics is retained by the author(s). Authors grant the Austrian Journal of Statistics a license to publish the article and identify itself as the original publisher. Authors also grant any third party the right to use the article freely as long as its original authors, citation details and publisher are identified.
Manuscripts should be unpublished and not be under consideration for publication elsewhere. By submitting an article, the author(s) certify that the article is their original work, that they have the right to submit the article for publication, and that they can grant the above license.
How to Cite
