| Title of paper:
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On the intuitionistic fuzzy sets with metric type relation between the membership and non-membership functions
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| Author(s):
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| Peter Vassilev
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| Bioinformatics and Mathematical Modelling Department, Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences, 105 Acad. G. Bonchev Str., Sofia 1113, Bulgaria
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| peter.vassilev@gmail.com
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| Presented at:
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16th ICIFS, Sofia, 9-10 September 2012
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| Published in:
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Conference proceedings, "Notes on IFS", Volume 18 (2012) Number 3, pages 30—38
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| Download:
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 PDF (169 Kb, File info)
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| Abstract:
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In the paper the so-called dφ-intuitionistic fuzzy set (dφ-IFS), over the non-empty universe E are considered for the case when φ is R2-metric induced by an arbitrary fixed absolute normalized R2-norm φ. It is proved that there exists a bijective isomorphism between the class of all such sets and the class of all intuitionistic fuzzy sets over E.
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| Keywords:
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Intuitionistic fuzzy set, d-intuitionistic fuzzy set, dφ-intuitionistic fuzzy set, Norm, Absolute norm, Normalized norm, Absolute normalized norm, Injection, Surjection, Bijection, Isomorphism.
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| AMS Classification:
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03E72
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| References:
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