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Project:Design and development of intuitionistic fuzzy logic tools in information technologies
"Design and development of intuitionistic fuzzy logic tools in information technologies" is a three-year project under the bilateral scientific exchange programme between Bulgaria and India (Ref. No. BIn-2/09). The project partners are
- Centre of Biomedical Engineeering, Bulgarian Academy of Sciences, Sofia, Bulgaria
- Vellalar College for Women, Tamilnadu, India.
The respective project coordinators from both sides are Prof. Krassimir Atanassov from CBME and Dr Parvathi Rangasamy from VCW. The project documents were signed on 27 July 2009 on Bulgarian side.
The project is focused on:
- Research of the properties of intuitionistic fuzzy sets of second and n-th type.
- Research of implications and negations.
- Development of software for checking the properties of IF implications and negations.
- Applications of IFS in the field of pattern recognition.
- Elaboration of a methodology for teaching IFS and development of learning content.
- Provision of access to publications on IFS, writing Ifigenia articles in the area of IFS.
Ifigenia is the platform for implementation of a part of the project activities and all project results will be announced here.
Results
Visits and exchanges
26 April - 11 June 2010
- Rangasamy Parvathi's visit to Sofia, Bulgaria
- Seminar in Centre of Biomedical Engineering, BAS: 26 May 2010
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- Seminar in Burgas University 'Prof. Asen Zlatarov': 4 June 2010
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19 April - 31 May 2011
- Visit of Rangasamy Parvathi and Subbarayavalasu Paramasivam Geetha to Sofia, Bulgaria
- Seminar in Burgas University 'Prof. Asen Zlatarov': 11 May 2011
- Seminar in Burgas Free University: 11 May 2011
Software developments
As of July 2010, the project participant Dimitar Dimitrov has started developing the software IFSTool that performs checking of the properties of the intuitionistic fuzzy implications and negations and assists the user in the development of new arithmetic operations.
A part of the software’s features are the following:
- Checking for coincidence of different implications and coincidence of different negations,
- Checking for the satisfaction of the axioms of the classical logic and the axioms of the non-classical logics,
- Introduction of order among the generated implications and negations.
The software can import/export data from/to various formats: TeX, HTML, plain text, PNG and others. The application has the capacity to process very large arrays of data and operations at a time. On a functional level it returns accurate results but it is still imminent the development of a more convenient user interface as well as user documentation. Once ready, the executable file and the source code of the application will be made freely available over Ifigenia.org.
For more information, see the specialized page of IFSTool.
Publications
| № | Publication (Authors, Title, Journal, Volume, Number, Year, Pages) | Download |
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| 1. | Vassilev, P., The generalized modal operator F pα,β over p-intuitionistic fuzzy sets, Notes on Intuitionistic Fuzzy Sets, Vol. 15, 2009, No. 4, 19-24. |  PDF (163 Kb, File info)
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| 2. | Todorova, L., Vassilev, P., A note on a geometric interpretation of the intuitionistic fuzzy set operators Pα,β and Qα,β, Notes on Intuitionistic Fuzzy Sets, Vol. 15, 2009, No. 4, 25-29. | PDF (45 Kb, File info)
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| 3. | Chountas, P., A. Shannon, P. Rangasamy, K. Atanassov. On intuitionistic fuzzy trees and their index matrix interpretation. Notes on Intuitionistic Fuzzy Sets, Vol. 15, 2009, No. 4, 52-56. | PDF (144 Kb, File info)
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| 4. | Fidanova, S., K. Atanassov, P. Marinov, R. Parvathi, Ant colony optimization for multiple knapsack problems with controlled starts. Bioautomation, Vol. 13, 2009, No. 4, 271-280. | PDF (302 Kb)
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| 5. | Atanassov, K., A new approach to the distances between intuitionistic fuzzy sets, In: Proc. of IMPU`2010 (Eds.: E. Hüllermeier, R. Kruse, and F. Hoffmann), Springer-Verlag Berlin Heidelberg, Part I, CCIS 80, pp. 581–590. | PDF (152 Kb, File info)
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| 6. | Vassilev, P., On reassessment of expert evaluations in the case of intuitionistic fuzziness, Advanced Studies in Contemporary Mathematics, Vol. 20 (4), October 2010, pp. 569-574. | PDF (230 Kb, File info) |
| 7. | Атанасова, В., Уики технологии в помощ на науката. Примерът с Ifigenia.org, 8ма Национална младежка научно-практическа сесия на ФНТС, 10-11 май 2010 | PDF (280 Kb, File info)
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| 8. | Riečan, B., K. Atanassov, On intuitionistic fuzzy level operators, Notes on Intuitionistic Fuzzy Sets, Vol. 16, 2010, No. 3, 42-44. | PDF (130 Kb, File info)
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| 9. | Shannon, A., P. Rangasamy, K. Atanassov, P. Chountas. On intuitionistic fuzzy trees. Developments in Fuzzy Sets, Intuitionistic Fuzzy Sets, Generalized Nets and Related Topics, Vol. I: Foundations. March 2010, 177-184. | PDF (8325 Kb, File info)
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| 10. | Atanassov, K., On two topological operators over intuitionistic fuzzy sets, Issues in Intuitionistic Fuzzy Sets and Generalized Nets, Vol. 8, 2010, Warsaw, pp. 1-7 | PDF (122 Kb, File info)
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| 11. | Todorova, L., P. Vassilev, E. Szmidt, S. Hadjitodorov, Spatial interpretation of operators over intuitionistic fuzzy sets, Issues in Intuitionistic Fuzzy Sets and Generalized Nets, Vol. 8, 2010, Warsaw, pp. 8-18 | PDF (265 Kb, File info)
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| 12. | Atanassov, K., New ways for altering the intuitionistic fuzzy experts' estimations, Issues in Intuitionistic Fuzzy Sets and Generalized Nets, Vol. 8, 2010, Warsaw, pp. 24-29 | PDF (100 Kb, File info)
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| 13. | Atanassov, K., Cantor's norms for intuitionistic fuzzy sets, Issues in Intuitionistic Fuzzy Sets and Generalized Nets, Vol. 8, 2010, Warsaw, pp. 36-39 | PDF (56 Kb, File info)
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| 14. | Tcheshmedjiev, P., P. Vassilev, Determining intuitionistic fuzzy degree of overlapping of computation and communication in parallel applications using generalized nets, Issues in Intuitionistic Fuzzy Sets and Generalized Nets, Vol. 8, 2010, Warsaw, pp. 50-57 | PDF (148 Kb, File info)
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