| Title of paper:
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On intuitionistic fuzzy pairs of n-th type
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| Author(s):
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| Krassimir Atanassov
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Department of Bioinformatics and Mathematical Modelling, Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences, 105 Acad. G. Bonchev Str., 1113 Sofia, Bulgaria
Intelligent Systems Laboratory, Prof. Asen Zlatarov University, Bourgas-8010, Bulgaria
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| krat@bas.bg
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| Eulalia Szmidt
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| Systems Research Institute, Polish Academy of Sciences, Warsaw, Poland
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| szmidt@ibspan.waw.pl
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| Janusz Kacprzyk
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| Systems Research Institute, Polish Academy of Sciences, Warsaw, Poland
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| kacprzyk@ibspan.waw.pl
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| Peter Vassilev
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| Department of Bioinformatics and Mathematical Modelling, Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences, 105 Acad. G. Bonchev Str., 1113 Sofia, Bulgaria
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| peter.vassilev@gmail.com
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| Published in:
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"Issues in Intuitionistic Fuzzy Sets and Generalized Nets", Volume 13 (2017), pages 136-142
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| Download:
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 PDF (152 Kb, File info)
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| Abstract:
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The concept of intuitionistic fuzzy pair of n-th type is introduced and studied. Some of the definitions of relations, operations and operators over intuitionistic fuzzy sets are considered and studied in the terms of these pairs.
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| Keywords:
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Intuitionistic fuzzy pairs, Intuitionistic fuzzy pair of n-th type.
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| References:
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- Atanassov, K. Geometrical interpretation of the elements of the intuitionistic fuzzy objects. Preprint IM-MFAIS-1-89, Sofia, Bulgaria, 1989; Reprinted Int. J. Bioautomation 2016, 20(S1), S27–S42.
- Atanassov, K. Intuitionistic Fuzzy Sets, Springer, Heldelberg, 1999.
- Atanassov, K. On Intuitionistic Fuzzy Sets Theory, Springer, Berlin, 2012.
- Atanassov, K., E. Szmidt, J. Kacprzyk. On intuitionistic fuzzy pairs, Notes on Intuitionistic Fuzzy Sets, Vol. 19, 2013, No. 3, 1–13.
- Atanassov, K., P. Vassilev, R. Tsvetkov, Intuitionistic Fuzzy Sets, Measures and Integrals. “Prof. M. Drinov” Academic Publishing House, Sofia, 2013.
- Palaniappan, N., Srinivasan, R., Parvathi, R. Some operations on intuitionistic fuzzy sets of root type. Notes on Intuitionistic Fuzzy Sets, Vol. 12, 2006, No. 3, 20-29.
- Srinivasan, R., S. Begum. Some Properties of Intuitionistic Fuzzy sets of Third Type. International Journal of Science and Humanities, Vol. 1, 2015, No. 1, 53-58.
- Vassilev, P. Intuitionistic fuzzy sets with membership and non-membership functions in metric relation, Ph.D. thesis defended on 18.03.2013, Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences (in Bulgarian).
- Parvathi, R. Theory of Operators over Intuitionistic Fuzzy sets of Second type and their Applications to Image Processing, Ph.D. thesis, Department of Mathematics, Alagappa Univ, Karaikudi, India, 2005.
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| Citations:
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