Czasopismo
2006
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Vol. 72, nr 1-3
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139-154
Tytuł artykułu
Autorzy
Wybrane pełne teksty z tego czasopisma
Warianty tytułu
Języki publikacji
Abstrakty
We discuss the problem of rough ingredients and parts of concepts of an indiscernibility-based approximation space. The notion of a (rough) ingredient is extended to the notion of a possible (rough) ingredient, and analogously in the case of parts. The term "possible" means that a concept is perceived as a candidate for a future substitute of some ingredient. Our approach is in line with rough mereology except for allowing the empty concept for the sake of simplicity.
Słowa kluczowe
Czasopismo
Rocznik
Tom
Strony
139-154
Opis fizyczny
bibliogr. 31 poz.
Twórcy
autor
- Department of Mathematics University of Białystok, Akademicka 2, 15-267 Białystok, Poland, Anna.gom@math.uwb.edu.pl
Bibliografia
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- [2] Cohn, A. G., Gotts, N. M.: The "egg-yolk" representation of regions with indeterminate boundaries, in: Proc. GISDATA Specialist Meeting on Geographical Objects with Undetermined Boundaries (P. A. Burrough, A. U. Frank, Eds.), Taylor & Francis, 1996, 171-187.
- [3] Cohn, A. G., Gotts, N. M.: Representing spatial vagueness: A mereological approach, in: Proc. 5th Int. Conf. Principles of Knowledge Representation and Reasoning (KR'96), Morgan Kaufmann, San Francisco, 1996, 230-241.
- [4] Düntsch, I., Orłowska, E., Wang, H.: Algebras of approximating regions, Fundamenta Informaticae, 46, 2001, 71-82.
- [5] Gomolińska, A.: Possible rough ingredients of concepts, in: Proc. Workshop Concurrency, Specification, and Programming CS&P'2005, Ruciane-Nida, Poland, 2005, September 28-30 (L. Czaja, Ed.), Warsaw University,Warsaw, 2005, 144-155.
- [6] Janicki, R.: On a mereological system for relational software specification, in: Proc. 27th Int. Symp. on Mathematical Foundations of Computer Science (MFCS'2002), Warsaw, Poland, 2002, August 26-30 (K. Diks, W. Rytter, Eds.), vol. 2420 of Lecture Notes in Computer Science, Springer, Berlin, 2002, 375-386.
- [7] Janicki, R.: Basic mereology with equivalence relations, in: Proc. 30th Int. Symp. on Mathematical Foundations of Computer Science (MFCS'2005), Gdańsk, Poland, 2005, August 29-September 2 (J. Jedrzejowicz, A. Szepietowski, Eds.), vol. 3618 of Lecture Notes in Computer Science, Springer, Berlin, 2005, 507-519.
- [8] Leonard, H., Goodman, N.: The calculus of individuals and its uses, J. Symbolic Logic, 5, 1940, 45-55.
- [9] Leśniewski, S.: Foundations of the general set theory 1 (in Polish), Works of the Polish Scientific Circle, 2, 1916, see also Stanisław Leśniewski Collected Works (S. J. Surma et al., Eds.), Kluwer, Dordrecht, 1992, 128-173.
- [10] Łukasiewicz, J.: Die logischen Grundlagen der Wahrscheinlichkeitsrechnung, in: Jan Łukasiewicz - Selected Works (L. Borkowski, Ed.), North Holland, Amsterdam London, 1970, 16-63, first published Kraków 1913.
- [11] Nguyen, S. H., Skowron, A., Stepaniuk, J.: Granular computing: A rough set approach, J. Comput. Intelligence, 17(3), 2001, 514-544.
- [12] Novotný, M., Pawlak, Z.: Characterization of rough top equalities and rough bottom equalities, Bull. Polish Acad. Sci. Math., 33(1-2), 1985, 91-97.
- [13] Novotný, M., Pawlak, Z.: On rough equalities, Bull. Polish Acad. Sci. Math., 33(1-2), 1985, 99-104.
- [14] Pawlak, Z.: Information systems - Theoretical foundations, Information Systems, 6(3), 1981, 205-218.
- [15] Pawlak, Z.: Rough sets, Computer and Information Sciences, 11, 1982, 341-356.
- [16] Pawlak, Z.: Information Systems. Theoretical Foundations (in Polish), Wydawnictwo Naukowo-Techniczne, Warsaw, 1983.
- [17] Pawlak, Z.: Rough Sets. Theoretical Aspects of Reasoning About Data, Kluwer, Dordrecht, 1991.
- [18] Polkowski, L.: On connection synthesis via rough mereology, Fundamenta Informaticae, 46, 2001, 83-96.
- [19] Polkowski, L., Skowron, A.: Rough mereology, in: Lecture Notes in Artificial Intelligence, vol. 869, Springer, Berlin, 1994, 85-94.
- [20] Polkowski, L., Skowron, A.: Rough mereology: A new paradigm for approximate reasoning, Approximated Reasoning, 15(4), 1996, 333-365.
- [21] Polkowski, L., Skowron, A.: Towards adaptive calculus of granules, in: Computing with Words in Information/ Intelligent Systems (L. A. Zadeh, J. Kacprzyk, Eds.), vol. 1, Physica-Verlag, Heidelberg, 1999, 201-228.
- [22] Polkowski, L., Skowron, A.: Rough mereological calculi of granules: A rough set approach to computation, Comput. Intelligence, 17(3), 2001, 472-492.
- [23] Polkowski, L., Skowron, A.: Rough mereology in information systems. A case study: Qualitative spatial reasoning, in: Rough Set Methods and Applications: New Developments in Knowledge Discovery in Information Systems (L. Polkowski et al., Ed.), Physica-Verlag, Heidelberg, 2001, 89-135.
- [24] Skowron, A.: Toward intelligent systems: Calculi of information granules, in: New Frontiers in Artificial Intelligence, Joint JSAI Workshop Post Proceedings (T. Terano et al., Ed.), vol. 2253 of Lecture Notes in Artificial Intelligence, Springer, Berlin Heidelberg, 2001, 251-260, also in: Bull. Int. Rough Set Soc. 5(1-2), 2001, 9-30.
- [25] Skowron, A., Stepaniuk, J.: Generalized approximation spaces, in: Proc. 3rd Int. Workshop Rough Sets and Soft Computing, San Jose, USA, 1994, November 10-12, 1994, 156-163.
- [26] Skowron, A., Stepaniuk, J.: Tolerance approximation spaces, Fundamenta Informaticae, 27, 1996, 245-253.
- [27] Słupecki, J.: S. Leśniewski's calculus of names, Studia Logica, 3, 1955, 7-76.
- [28] Smith, B.: Agglomerations, in: Spatial Information Theory. Cognitive and Computational Foundations of Geographic Information Science (C. Freksa, D. M. Mark, Eds.), vol. 1661 of Lecture Notes in Computer Science, Springer, Berlin, 1999, 267-282.
- [29] Surma, S. J., Ed.: On Leśniewski's Systems, Proc. XXII Conf. History of Logic, vol. 36(4) of Studia Logica, 1977.
- [30] Tarski, A.: Les fondements de la géométrie des corps, in: Memorial Book of the 1st Polish Mathematical Congress, a supplement to Annales de la Sociéte Polonaise de Mathématique, Kraków, 1929, 29-33.
- [31] Whitehead, A. N.: Process and Reality. An Essay in Cosmology, Macmillan, New York, 1929, corrected edition from 1978 (D. R. Griffin, D. W. Sherbourne, Eds.).
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.baztech-article-BUS2-0010-0059