Skip to main content
Have a personal or library account? Click to login
Modelling of Uncertainty and Bi–Variable Maps Cover

Modelling of Uncertainty and Bi–Variable Maps

Journal of Electrical Engineering
Volume 67 (2016): Issue 3 (May 2016)
By:  and    
Open Access
|Jun 2016
References

References

  1. [1] AL-ADILEE, A. M.-NÁNÁSIOVÁ, O. : Copula and s-Map on a Quantum Logic, Information Sciences 179 (2009), 4199-4207.
    Open DOISearch in Google Scholar
  2. [2] AUBIN, J. P. : Mathematical Methods of Games and Economic Theory, North-Holland, Amsterdam, 1979.
    Search in Google Scholar
  3. [3] AUMAN, R. J.-SHAPLEY, L. S. : Values of Non-Atomic Games, Princeton University Press, Princeton, 1974.
    Search in Google Scholar
  4. [4] BELTRAMETTI, E. G.-CASSINELLI, G. : The Logic of Quantum Mechanics, Addison-Wesley, Reading MA, 1981.
    Search in Google Scholar
  5. [5] BUTNARIU, D. : Non-Atomic Fuzzy Measures and Games, Fuzzy Sets and Systems 17 No. 1985, 39-52.
    Open DOISearch in Google Scholar
  6. [6] BUTNARIU, D. : Values and Cores for Fuzzy Games with Infinitely Many Players, International Journal of Game Theory 16 (1987), 43-68.
    Open DOISearch in Google Scholar
  7. [7] BUTNARIU, D.-KLEMENT, E. P. : Triangular Norm-Based Measures and their Markov Kernel Representation, Journal of Mathematical Analysis and Applications 162 (1991), 111-143.
    Open DOISearch in Google Scholar
  8. [8] De BAETS, B.-MESIAR, M. : Triangular Norms on Product Lattices, Fuzzy Sets and Systems 104 (1999), 61-75.
    Open DOISearch in Google Scholar
  9. [9] DVORETZKY, A.-WALD, A.-WOLFOWITZ, J. : Relations Among Certain Ranges of Vector Measures, Pacific Journal of Mathematics 1 (1951), 59-74.
    Open DOISearch in Google Scholar
  10. [10] FRANK, M. D. : On the Simultaneous Associativity of F(x, y) and x + y − F(x, y) , Aequationes Mathematicae 19 (1979), 194-226.
    Open DOISearch in Google Scholar
  11. [11] GILES, R. : Lukasiewicz Logic and Fuzzy Set Theory, International Journal of Man-Machine Studies 67 (1976), 313-327.
    Open DOISearch in Google Scholar
  12. [12] GREECHIE, R. J. : Orthomodular Lattices Admitting no States, Journal of Combinatorial Theory, Ser. A 10 (1971), 119-132.
    Search in Google Scholar
  13. [13] KALMBACH, G. : Orthomodular Lattices, Academic Press, London, 1983.
    Search in Google Scholar
  14. [14] KLEMENT, E. P.-MESIAR, R.-PAP, E. : Triangular Norms, Kluwer, Dordrecht, 2000.
    Open DOISearch in Google Scholar
  15. [15] MARTINEK, R.-KELNAR, M.-VANUS, J. : A Robust Approach for Acoustic Noise Suppression in Speech using ANFIS, Journal of Electrical Engineering 66 (2015), 301-310.
    Open DOISearch in Google Scholar
  16. [16] MENGER, K. : Statistical Metrics, Proceedings of the National Academy of Sciences of the USA 28 (1942), 353-537.
    Open DOISearch in Google Scholar
  17. [17] MESIAR, R. : Fundamental Triangular Norm Based Tribes and Measures, Journal of Mathematical Analysis and Applications 177 (1993), 633-640.
    Open DOISearch in Google Scholar
  18. [18] NÁNÁSIOVÁ, O. : Map for Simultaneous Measurements for a Quantum Logic, International Journal of Theoretical Physics 42 (2003), 1889-1903.
    Open DOISearch in Google Scholar
  19. [19] NÁNÁSIOVÁ, O.-KHRENNIKOV, A. : Representation Theorem for Observables on a Quantum System, International Journal of Theoretical Physics 45 (2006), 469-482.
    Open DOISearch in Google Scholar
  20. [20] NÁNÁSIOVÁ, O.-VALÁŠKOVÁ, Ľ. : Maps on a Quantum Logic, Soft Computing 14 (2010), 1047-1052.
    Open DOISearch in Google Scholar
  21. [21] NAVARA, M. : Small Quantum Structures with Small State Spaces, International Journal of Theoretical Physics 47 (2008), 36-43.
    Open DOISearch in Google Scholar
  22. [22] NAVARA, M. : Triangular Norms and Conorms, www.scholarpedia.org/article/Triangular_norms_and_conorms .
    Search in Google Scholar
  23. [23] NELSEN, R. B. : An Introduction to Copulas, Springer, New York, 1999.
    Open DOISearch in Google Scholar
  24. [24] PETROVIĆ, I.-JOZSA, L.-BAUS, Z. : Use of Fuzzy Logic System for Assessment of Primary Faults, Journal of Electrical Engineering 66 (2015), 257-263.
    Open DOISearch in Google Scholar
  25. [25] PYKACZ, J. : Fuzzy Quantum Logics and Infinite-Valued Lukasiewicz Logic, International Journal of Theoretical Physics 33 (1994), 1403-1416.
    Open DOISearch in Google Scholar
  26. [26] PYKACZ,.: Lukasiewicz Operations in Fuzzy Set and Many- Valued Representations of Quantum Logics, Foundations of Physics 30 (2000), 1503-1524.
    Open DOISearch in Google Scholar
  27. [27] PTÁK, P.-PULMANNOVÁ, S. : Orthomodular Structures as Quantum Logics, Kluwer, Dordrecht, 1991.
    Search in Google Scholar
  28. [28] PYKACZ, J.-VALÁŠKOVÁ, Ľ.-NÁNÁSIOVÁ, O. : Bell- Type Inequalities for Bivariate Maps on Orthomodular Lattices, Foundations of Physics 45 (2014), 900-913.
    Open DOISearch in Google Scholar
  29. [29] ROSE, A.-ROSSER, J. B. : Fragments of Many Valued Statement Calculus, Transactions of the American Mathematical Society 87 (1958), 1-53.
    Open DOISearch in Google Scholar
  30. [30] SCHWEIZER, B.-SKLAR, A. : Probabilistic Metric Spaces, North-Holland, New York, 1983.
    Search in Google Scholar
  31. [31] SOCHA, V.-KUTÍLEK, P.-VITEČKOVÁ, S. : The Evaluation of the Practical Adhesion Strenght of Biocompatible Thin Films by Fuzzy Logic Expert Sysstem and International Standards, Journal of Electrical Engineering 64 (2013), 354-360.
    Open DOISearch in Google Scholar
  32. [32] TKADLEC, J. : Subadditivity of States on Quantum Logics, International Journal of Theoretical Physics 34 (1995), 1767-1774.
    Open DOISearch in Google Scholar
  33. [33] WALD, A. : On Statistical Generalizations of Metric Spaces, Proceedings of the National Academy of Sciences of the USA 29 (1943), 196-197.
    Open DOISearch in Google Scholar
  34. [34] ZHANG, D. : Triangular Norms on Partially Ordered Sets, Fuzzy Sets and Systems 153 (2005), 195-209.
    Open DOISearch in Google Scholar
DOI: https://doi.org/10.1515/jee-2016-0024 | Journal eISSN: 1339-309X (formerly 1335-3632) | Journal ISSN: 1335-3632
Journal RSS Feed
Language: English
Page range: 169 - 176
Submitted on: Feb 20, 2016
Published on: Jun 28, 2016
Published by: Slovak University of Technology in Bratislava
In partnership with: Paradigm Publishing Services
Keywords:
orthomodular lattice,
probability measure,
copula,
triangular norm,
s-map
Related subjects:
Engineering,
Introductions and overviews,
Engineering, other

© 2016 Ol’ga Nánásiová, Jarosław Pykacz, published by Slovak University of Technology in Bratislava
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Volume 67 (2016): Issue 3 (May 2016)
Previous article
Next article