Fuzzy extermal process, fuzzy measure and integrals.
Main publications:
G. Sirbiladze, N. Zaporozhets, About two Probability Representations of Fuzzy Measures on a Finite Set. The Journal of Fuzzy Mathematics. Los Angeles, The International Fuzzy Mathematics Institute, USA, Vol. 10, No. 3, 2002, 1–17.
G. Sirbiladze, A. Sikharulidze, Weighted Fuzzy Averages in Fuzzy Environment, Part I. Insufficient Expert Data and Fuzzy Averages. International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems. Vol. 11, No. 2, 2003, 139–158.
G. Sirbiladze, A. Sikharulidze, Weighted Fuzzy Averages in Fuzzy Environment, Part II. Generalized Weighted Fuzzy Expected Values in Fuzzy Environment. International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems. Vol. 11, No. 2, 2003, 159–172.
G. Sirbiladze, Fuzzy Subset Construction through the Associated Probabilities. Bulletin of the Georgian Academy of Sciences, 163, N 3, 2001, 436–440.
G. Sirbiladze, N. Zaporozhets, Choquet's Capacity of Order Two in the Murofushi-Sugeno's Probability Representation of a Fuzzy Measure. Bulletin of the Georgian Academy of sciences, 165, N 2, 2002, 235–238.
G. Sirbiladze, Choquet's Capacities on the Field of Insufficient Expert Data. Reports of Enlarged Session of the Seminar of I. Vekua Institute of Applied Mathematics. Vol. 14, N 4, 1999, 67–70.
G. Sirbiladze, Fuzzy Measure Approximation on the Field of Insufficient Expert Data. Reports of Enlarged Session of the Seminar of I. Vekua Institute of Applied Mathematics. Vol. 16. N 3, 2001, 108–111.
G. Sirbiladze, B. Gvaberidze, Possibilty Analysis of the Fuzzy Covering Problem. Bulletin of the Georgian Academy of Science, 167, N 1, 2003, 47–50.
G. Sirbiladze, A. Sikharulidze, Insufficient Date and Fuzzy Averages. Journal of Applied Mathematics and Informatics. Vol. 6, N 2, 2001, 76–95.
G. Sirbiladze, F. Criado, T. Gachechiladze, Theory of Conectivity in the Problem of Decision-making Concerning Earthquake Possibility. Journal of Applied Mathematics and Informatics. Vol. 6, N 2, 2001, 65–75.
G. Sirbiladze, F. Criado, T. Gachechiladze, Theory of Conectivity and Apportionment of Representative Chains in the Problem of Decision-making Concerning Earthquake Possibility. International Journal of General Systems, 32, No. 2, 2003, 103–121.
G. Sirbiladze, F. Criado, T. Gachechiladze, G. Tsertsvadze, Fuzzy Analysis of the Language Structure on a Finite Set of Insufficient Data. Journal of Quantitative Lingvistics, vol. 11, N 1/2, 2004, 93–132.
G. Sirbiladze, Insufficient Data and Weithed Fuzzy Expected Interval of Population. Proceeding of JavakhiSvili Tbilisi State University, Applied Mathematics, Computer Sciences, Vol. 342(20), 2000, 33–38.
G. Sirbiladze, N. Jorjiashvili, Probabilstic-Possibilistic Analysis of Insufficient Expert Data. Proc. of Javakhishvili Tbilisi State University, Applied Mathematics, Computer Sciences, Vol. 343(21), 2001, 58–68.
G. Sirbiladze, N. Zaporozhets, Interpretations of Â-Additive Fuzzy Discrete Measures in the Problems of Fuzzy Measure Representation from Corresponding Insufficient Data. Proc. of Javakhishvili Tbilisi State University, Applied Mathematics, Computer Sciences, Vol. 342(20), 2000, 39–54.
G. Sirbiladze, F. Criado, T. Gachechiladze, H. Meladze, G. Tsertsvadze, Ignorance, Knowledge and Information. Reports of Enlarge Session of the Seminar of I. Vekua Institute of Applied Mathematics. Vol. 14, N 4, 1999, 12–15.
G. Sirbiladze, A. Sikharulidze, G. Korakhashvili, Decision-Making Aiding Fuzzy Information Analysis in Investments. Part I: Discrimination Analysis in Investment Projects. Proc. of Javakhishvili Tbilisi State University, Applied Mathematics, Computer Sciences, Vol. 353(22-23), 2003, 77–94.
G. Sirbiladze, G. Khachidze, Decision-Making Aiding Fuzzy Information Analysis in Investments. Part II: Demster-Shafer's Expected Utility in Investments. Proc. of Javakhishvili Tbilisi State University, Applied Mathematics, Computer Sciences, Vol. 353(22-23), 2003, 95–108.
G. Sirbiladze, T. Gachechiladze, Restored Fuzzy Measures in Expert Decision-Making. Information Sciences. An International Journal. 169 (1/2), 2005, 71–95.
G. Sirbiladze, Modeling of Extremal Fuzzy Dynamic Systems. Part I: Extended Extremal Fuzzy Measures. International Journal of General Systems. 34, 2, 2005, 107–138.
G. Sirbiladze, Modeling of Extremal Fuzzy Dynamic Systems. Part II: Extended Extremal Fuzzy Measures on Composition Products of Measurable Spaces. International Journal of General Systems. 34, 2, 2005, 139–167.
G. Sirbiladze, Modeling of Extremal Fuzzy Dynamic Systems. Part III: Modeling of Extremal and Controllable Extremal Fuzzy Processes. International Journal of General Systems. 34, 2, 2005, 169–198.
G. Sirbiladze, About a Universal Representation-Interpretator of a Fuzzy Measure. Bulletin of the Georgian Academy of Sciences. 170, N 3, 2004, 454–457.
G. Sirbiladze, N. Zaporozhets, N. Sirbiladze, The Stochastic and Possibilistic populations. Proc. of Javakhishvili Tbilisi State University, Applied Mathematics, Computer Sciences, Vol. 364(24), 2005, 205–210.
G. Sirbiladze, T. Latsabidze, D. Korakhashvili, Extended Fuzzy Measures in Fuzzy Dynamic Systems, Part I: Extended Fuzzy Measure and its Properties. Proc. of Javakhishvili Tbilisi State University, Applied Mathematics, Computer Sciences, Vol. 364(24), 2005, 23–36.
G. Sirbiladze, T. Latsabidze, D. Korakhashvili, Extended Fuzzy Measures in Fuzzy Dynamic Systems, Part II: Weakly Structurable Fuzzy Dynamic Systems. Proc. of Javakhishvili Tbilisi State University, Applied Mathematics, Computer Sciences, Vol. 364(24), 2005, 37–48.
G. Sirbiladze, Modeling of Extremal Fuzzy Dynamic Systems. Part IV: Identification of Fuzzy-Integral Models of Extremal Fuzzy Processes. International Journal of General Systems. 35, 4, 2006, 435–459.
G. Sirbiladze, Modeling of Extremal Fuzzy Dynamic Systems. Part V: Optimization of Continuous Controllablale Extremal Fuzzy Processes and the Choice of Decisions. International Journal of General Systems. 35, 5, 2006, 529–554.
G. Sirbiladze, Modeling of Extremal Fuzzy Dynamic Systems. Part VI: Problems of States Estimation (Filtration) of Extremal Fuzzy Process. International Journal of General Systems. 36, 1, 2007, 19–58.
G. Sirbiladze, Transformation Theorems for Extended Lower and Upper Sugeno Integrals. Matematical Notes. 2008 (in Russian, to appear).
G. Sirbiladze, On Fuzzy Optimal Controls in the Weakly Structurable Continuous Dynamic Sysytems (WSCDS). New Mathematics and Natural Computation. 4, 1, 2008, 41–60 (to appear).
G. Sirbiladze, B. Ghvaberidze, T. Latsabidze, B. Matsaberidze, Using Minimal Fuzzy Covering in Decision-making Systems. Information Sciences. An International Journal. 2008 (to appear).
