Tytuł artykułu
Autorzy
Wybrane pełne teksty z tego czasopisma
Identyfikatory
Warianty tytułu
Języki publikacji
Abstrakty
In this article, we aim at extension of similarity-based approximation spaces to the case, where both similarity and dissimilarity of objects are taken into account. Apart from the well-known notions of lower rough approximation, upper rough approximation, and variable-precision positive regions of concepts, adapted to our case, the notions of exterior, possibly negative region, and ignorance region of concepts are introduced and investigated.
Wydawca
Czasopismo
Rocznik
Tom
Strony
319--333
Opis fizyczny
bibliogr. 36 poz., tab.
Twórcy
autor
- Department of Mathematics University of Białystok, Akademicka 2, 15-267 Białystok, Poland, Anna.gom@math.uwb.edu.pl
Bibliografia
- [1] Albatineh, A. N., Niewiadomska-Bugaj, M., Mihalko, D.: On similarity indices and correction for chance agreement, J. of Classification, 23, 2006, 301-313.
- [2] Baulieu, F. B.: Two variant axiom systems for presence/absence based dissimilarity coefficients, J. of Classification, 14, 1997, 159-170.
- [3] Chepoi, V., Fichet, B.: Recognition of Robinsonian dissimilarities, J. of Classification, 14, 1997, 311-325.
- [4] Cox, T. F., Cox, M. A. A.: A general weigthed two-way dissimilarity coefficient, J. of Classification, 17, 2000, 101-121.
- [5] Deja, R.: Conflict analysis, in: Rough Set Methods and Applications: New Developments in Knowledge Discovery in Information Systems (L. Polkowski, S. Tsumoto, T. Y. Lin, Eds.), Physica-Verlag, Heidelberg New York, 2001, 491-520.
- [6] Gomolińska, A.: A comparative study of some generalized rough approximations, Fundamenta Informaticae, 51(1-2), 2002, 103-119.
- [7] Gomolińska, A.: Approximation spaces based on similarity and dissimilarity, in: [13], 2006, 446-457.
- [8] Gower, J. C., Legendre, P.: Metric and Euclidean properties of dissimilarity coefficients, J. of Classification, 3, 1986, 5-48.
- [9] Greco, S., Matarazzo, B., Słowiński, R.: Handling missing values in rough set analysis of multi-attribute and multi-criteria decision problems, Lecture Notes in Artificial Intelligence, 1711, 1999, 146-157.
- [10] Greco, S., Matarazzo, B., Słowiński, R., Zanakis, S.: Rough set analysis of information tables with missing values, in: Proc. 5th Int. Conf. Decision Sciences Institute, Athens, Greece, 1999, July 4-7, 1999, 1359-1362.
- [11] Grzymała-Busse, J. W., Grzymała-Busse,W. J., Goodwin, L. K.: Coping with missing attribute values based on closest fit in preterm birth data: A rough set approach, Comput. Intelligence, 17(3), 2001, 425-434.
- [12] Kryszkiewicz, M.: Properties of incomplete information systems in the framework of rough sets, in: [26], vol. 1, 1998, 422-450.
- [13] Lindemann, G., Schlingloff, B.-H., Eds.: Proc. Workshop on Concurrency, Specification, and Programming (CS&P'2006), Wandlitz, Germany, 2006, September 27-29, vol. 206 of Informatik-Berichte, Humboldt-Universität zu Berlin, Berlin, 2006.
- [14] Łukasiewicz, J.: Die logischen Grundlagen derWahrscheinlichkeitsrechnung, in: Jan Łukasiewicz - Selected Works (L. Borkowski, Ed.), North Holland, Polish Scientific Publ., Amsterdam London,Warsaw, 1970, 16-63, first published in Kraków in 1913.
- [15] von Luxburg, U.: Statistical Learning with Similarity and Dissimilarity Functions, Ph. D. thesis, Technische Universität Berlin, Berlin, 2004.
- [16] MacKay, D. B., Lilly, B.: Percept variance, subadditivity and the metric classification of similarity, and dissimilarity data, J. of Classification, 21, 2004, 185-206.
- [17] Pawlak, Z.: Information systems - Theoretical foundations, Information Systems, 6(3), 1981, 205-218.
- [18] Pawlak, Z.: Rough sets, Computer and Information Sciences, 11, 1982, 341-356.
- [19] Pawlak, Z.: On conflicts, Int. J. of Man-Machine Studies, 21, 1984, 127-134.
- [20] Pawlak, Z.: Rough Sets. Theoretical Aspects of Reasoning About Data, Kluwer, Dordrecht, 1991.
- [21] Pawlak, Z.: An inquiry into anatomy of conflicts, J. of Information Sciences, 109, 1998, 65-78.
- [22] Pawlak, Z., Skowron, A.: Rough membership functions, in: Advances in the Dempster-Shafer Theory of Evidence (R. R. Yager, M. Fedrizzi, J. Kacprzyk, Eds.), John Wiley & Sons, New York, 1994, 251-271.
- [23] Peters, J. F., Skowron, A., Stepaniuk, J.: Nearness in approximation spaces, in: [13], 2006, 434-445.
- [24] Piasta, Z., Lenarcik, A.: Learning rough classifiers from large databases with missing values, in: [26], vol. 1, 1998, 451-499.
- [25] Polkowski, L., Skowron, A.: Rough mereology: A new paradigm for approximate reasoning, Int. J. Approximated Reasoning, 15(4), 1996, 333-365.
- [26] Polkowski, L., Skowron, A., Eds.: Rough Sets in Knowledge Discovery, Physica-Verlag, Heidelberg, 1998.
- [27] Polkowski, L., Skowron, A.: Rough mereological calculi of granules: A rough set approach to computation, Comput. Intelligence, 17(3), 2001, 472-492.
- [28] Ramanna, S., Peters, J. F., Skowron, A.: Analysis of conflict dynamics by risk patterns, in: [13], 2006, 469-479.
- [29] Skowron, A., Stepaniuk, J.: Tolerance approximation spaces, Fundamenta Informaticae, 27, 1996, 245-253.
- [30] Słowiński, R., Vanderpooten, D.: Similarity relation as a basis for rough approximations, in: Advances in Machine Intelligence and Soft Computing (P. P. Wang, Ed.), vol. 4, Duke University Press, 1997, 17-33.
- [31] Stefanowski, J., Tsouki`as, A.: Incomplete information tables and rough classification, Int. J. Comput. Intelligence, 17(3), 2001, 545-566.
- [32] Wolski, M.: Similarity as nearness: Information quanta, approximation spaces and nearness structures, in: [13], 2006, 424-433.
- [33] Yao, Y., Zhao, Y.: Conflict analysis based on discernibility and indiscernibility, in: Proc. 1st IEEE Symposium on Foundations of Computational Intelligence (FOCI'2007), Honolulu, Hawaii, 2007, April 1-5 (D. Fogel et al., Ed.), 2007, 302-307.
- [34] Zadeh, L. A.: Outline of a new approach to the analysis of complex system and decision processes, IEEE Trans. on Systems, Man, and Cybernetics, 3, 1973, 28-44.
- [35] Ziarko,W.: Variable precision rough set model, J. Computer and System Sciences, 46(1), 1993, 39-59.
- [36] Ziarko, W.: Probabilistic decision tables in the variable precision rough set model, J. Comput. Intelligence, 17(3), 2001, 593-603.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BUS5-0010-0064