Title of paper:
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Remark on intuitionistic fuzzy cognitive maps
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Author(s):
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Peter Hadjistoykov
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Bioinformatics and Mathematical Modelling Department, IBPhBME - Bulgarian Academy of Sciences, Acad. Georgi Bonchev Str., block 105, Sofia 1113, Bulgaria
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ph_home@hotmail.com
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Krassimir Atanassov
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Bioinformatics and Mathematical Modelling Department, IBPhBME - Bulgarian Academy of Sciences, Acad. Georgi Bonchev Str., block 105, Sofia 1113, Bulgaria
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krat@bas.bg
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Published in:
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"Notes on Intuitionistic Fuzzy Sets", Volume 19, 2013, Number 1, pages 1—6
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Download:
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PDF (124 Kb, File info)
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Abstract:
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Since the introduction of the basic model of FCM in 1986 by B. Kosko numerous extensions of FCMs have been developed and tested in various domains of application. Although in the years after 2000 (the period 2001-2012) there is a considerable increase in the number of published research papers on FCMs and the underlying theoretical foundations, only a few formal definitions of the extended models were given. In this work, a new formal definition of Intuitionistic fuzzy cognitive map (IFCM) is proposed combining the model of directed graph and the notion of Intuitionistic fuzzy index matrix.
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Keywords:
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Cognitive map, Fuzzy cognitive map, Intuitionistic fuzzy cognitive map, Intuitionistic fuzzy index matrix.
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AMS Classification:
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03E72
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References:
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- Aguilar, J. A survey about fuzzy cognitive maps papers. International Journal of Computational Cognition, Vol. 3, 2005, No. 2, 27–33.
- Atanassov, K. Intuitionistic Fuzzy Sets, Springer, Heidelberg, 1999.
- Atanassov, K. On index matrices, Part 2: Intuitionistic fuzzy case. Proceedings of the Jangjeon Mathematical Society, Vol. 13, 2010, No. 2, 121–126.
- Atanassov, K. On Intuitionistic Fuzzy Sets Theory, Springer, Berlin, 2012.
- Axelrod, R. Structure of Decision: the cognitive maps of political elites, Prinston Univ. Press, NY, 1976.
- Chen, S. M. Cognitive-map-based Decision Analysis Based on NPN Logics. Fuzzy Sets and Systems, Vol. 71, 1995, No. 2, 155–163.
- De, S. K. A., A. Biswas, E. Roy, An application of intuitionistic fuzzy sets in medical diagnosis. Fuzzy Sets and Systems, Vol. 117, 2001, No. 2, 209-213.
- Glykas, M. Fuzzy Cognitive Maps: Theory, Methodologies, Tools and Applications, Springer Verlag, Berlin, 2010.
- Iakovidis, D.K., E. I. Papageorgiou, Intuitionistic Fuzzy Reasoning with Cognitive Maps. Proc. of IEEE International Conference on Fuzzy Systems, June 27-30, 2011, Taipei, Taiwan.
- Kosko, B. Fuzzy cognitive maps. International Journal of Man-Machine Studies, Vol. 24, 1986, No. 1, 65–75.
- Papageorgiou, E. A Review Study of FCMs Applications during the last decade. Proc. of IEEE International Conference of Fuzzy Systems (FUZZ IEEE), 2011, 27-30 June, Taipei, Taiwan.
- Papageorgiou, E. Review Study on Fuzzy Cognitive Maps and Their Applications during the Last Decade, Business Process Management, Springer-Verlag, Berlin, 2013.
- Papageorgiou, E. I., D. K. Iakovidis, Intuitionistic Fuzzy Cognitive Maps. Proc. of IEEE Transactions on Fuzzy Systems, Vol. 21, 2013, No. 2, 342–354.
- Simon, H. The Structure of Ill-structured Problems. Artificial Intelligence, No. 4, 1973, 181-202.
- Stach, W., L. A. Kurgan, W. Pedrycz. Expert-based and Computational Methods for Developing Fuzzy Cognitive Maps, Glykas, M. Ed., Fuzzy Cognitive Maps: Advances in Theory, Methodologies, Tools and Applications, Springer, Berlin, 2010.
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