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Some Issues on Inner Structure of Information. A Definition of the Decision Making Problem

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Języki publikacji
EN
Abstrakty
EN
We continue the analysis of the notion of information in a two-stage decision process. In the previous work and in the present one, when examining specific concepts and types of information, we achieve a better understanding of mathematical contents of the notion. Only elementary set-theoretical tools are used. All the formalism previously introduced is largely used here; it is shortly recalled here. We try to formally approach several concepts: uncertainty, measurement and prediction, often applied in decision-making theory. Then, after introducing the notion of independent information, we attempt to formulate a precise definition of what we understand as decision making problem.
Wydawca
Rocznik
Strony
191--212
Opis fizyczny
bibliogr. 12 poz., wykr.
Twórcy
  • Institute of Geophysics, Polish Academy of Sciences, 64 Księcia Janusza, 01-452 Warsaw, Poland, tom@igf.edu.pl
Bibliografia
  • [1] Z. Adamowicz, P. Zbierski. Mathematical logic (in Polish). PWN, Warszawa, 1991.
  • [2] H.B. Enderton. A Mathematical Introduction to Logic, 2nd ed. Academic Press, San Diego, 2001.
  • [3] R. Engelking. General Topology (in Polish). Mathematical Library, vol. 47, PWN, Warsaw, 1975.
  • [4] K. Kuratowski and A.Mostowski. Set Theory (in Polish). MonografieMatematyczne, vol. 27, PWN,Warsaw, 1978.
  • [5] A.Mostowski. Mathematical Logic (in Polish). MonografieMatematyczne, vol. 18,Warsaw-Wrocław, 1948.
  • [6] A.K. Pal and A.Skowron (editors). Rough Fuzzy Hybridization. A New Trend in Decision Making. Springer Verlag Singapore Pte. Ltd. 1999.
  • [7] Z. Pawlak. Information Systems. Theoretical Foundations. (in Polish). WNT, Warszawa, 1983.
  • [8] H. Rasiowa. Introduction into ContemporaryMathematics (in Polish). Mathematical Library, vol. 30, PWN, Warsaw, 1971.
  • [9] A. Tarski. Logico-philosophicalWritings. Vol. 1: Truth (in Polish). PWN, Warsaw, 1995.
  • [10] A. Tarski. Logico-philosophicalWritings. Vol. 2: Metalogic (in Polish). PWN, Warsaw, 1995.
  • [11] T. Terlikowski. A Logical Approach to Control. Some New Logical Concepts and Their Application to the Notion of Safety for Control Variants. Fundamenta Informaticae, 52(4), October 2002.
  • [12] T. Terlikowski. Information in a Two-Stage Decision Process. General Idea and Classification. Fundamenta Informaticae, 82(1-2), 2008.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BUS5-0018-0011
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