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Solving Systems of Linear Equations under Conditions of Uncertainty on the Example of the Leontief Model Cover

Solving Systems of Linear Equations under Conditions of Uncertainty on the Example of the Leontief Model

Open Access
|Sep 2019

References

  1. Czerwiński, Zbigniew. 1980. Matematyka na uslugach ekonomii. Warszawa: PWN.
  2. Gawinecki, Jerzy. 2000. Matematyka dla ekonomistów. Warszawa: Wyższa Szkoła Handlu i Prawa.
  3. Gruszczyński, Marek and Maria Podgórska, ed. 2004. Ekonometria. Warszawa: SGH.
  4. Chiang, Alpha C. 1994. Podstawy Ekonomii Matematycznej, Przekł. EM Syczewska. Warszawa: PWE.
  5. Friedman, Menahem, Ma Ming, and Abraham Kandel. 1998. 'Fuzzy Linear Systems.' Fuzzy Sets and Systems 96 (2): 201–9.
  6. Goetschel Jr, Roy, and William Voxman. 1986. 'Elementary Fuzzy Calculus.' Fuzzy Sets and Systems 18 (1): 31–43.
  7. Kacprzak, Dariusz. 2008. 'Model Leontiewa i Skierowane Liczby Rozmyte.' VII Konferencja Naukowo-Praktyczna: Energia w Nauce i Technice, 797–815.
  8. Kacprzak, Dariusz. 2010. 'Skierowane Liczby Rozmyte w Modelowaniu Ekonomicznym.' Optimum–Studia Ekonomiczne 3: 263–81.
  9. Kacprzak, Dariusz. 2017. 'The Input-Output Model Based on Ordered Fuzzy Numbers.' in: Theory and Applications of Ordered Fuzzy Numbers: A Tribute to Professor Witold Kosiński, Eds. P. Prokopowicz, J. Czerniak, D. Mikołajewski, Ł. Apiecionek, D. Ślęzak, Studies in Fuzziness and Soft Computing, 356: 171–182.
  10. Kosiński, Witold, Piotr Prokopowicz, and Dominik Ślezak. 2002. 'Fuzzy Numbers with Algebraic Operations: Algorithmic Approach.' Eds. Klopotek, M., Wierzchoń, ST., Michalewicz, M., Physica Verlag: Heidelberg, Germany.
  11. Kosiński, Witold. 2006. 'On Fuzzy Number Calculus.' International journal of Applied Mathematics and Computer Science 16: 51–57.
  12. Kosiński, Witold, and Piotr Prokopowicz. 2004. 'Algebra Liczb Rozmytych.' Matematyka Stosowana 5 (46): 37–63.
  13. Kosiński, Witold, Piotr Prokopowicz, and Dominik Ślęzak. 2003. 'Ordered Fuzzy Numbers.' Bulletin of the Polish Academy of Sciences 51 (3): 327–38.
  14. Łachwa, Andrzej. 2001. Rozmyty Świat Zbiorów, Liczb, Relacji, Faktów, Reguł i Decyzji. Akademicka Oficyna Wydawnicza EXIT.
  15. Ma, Ming, Menahem Friedman, and Abraham Kandel. 1999. 'A New Fuzzy Arithmetic.' Fuzzy Sets and Systems 108 (1): 83–90.
  16. Moore, Ramon E, R Baker Kearfott, and Michael J Cloud. 2009. Introduction to Interval Analysis. Vol. 110. Siam.
  17. Prokopowicz, Piotr, and Witold Pedrycz. 2015. 'The Directed Compatibility between Ordered Fuzzy Numbers-a Base Tool for a Direction Sensitive Fuzzy Information Processing.' In International Conference on Artificial Intelligence and Soft Computing, 249–59. Springer.
  18. Sevastjanov, Pavel, and Ludmila Dymova. 2009. 'A New Method for Solving Interval and Fuzzy Equations: Linear Case.' Information Sciences 179 (7): 925–37. https://doi.org/10.1016/J.INS.2008.11.031
  19. Zadeh, Lotfi A. 1965. 'Fuzzy Sets.' Information and Control 8 (3): 338–53.
  20. Zadeh, Lotfi A.. 1973. 'Outline of a New Approach to the Analysis of Complex Systems and Decision Processes.' IEEE Transactions on Systems, Man, and Cybernetics, no. 1: 28–44.
DOI: https://doi.org/10.1515/ceej-2018-0017 | Journal eISSN: 2543-6821 | Journal ISSN: 2544-9001
Language: English
Page range: 244 - 259
Published on: Sep 11, 2019
Published by: Faculty of Economic Sciences, University of Warsaw
In partnership with: Paradigm Publishing Services
Publication frequency: 1 issue per year

© 2019 Dariusz Kacprzak, published by Faculty of Economic Sciences, University of Warsaw
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.