Title of paper:
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On an operator, mapping intuitionistic fuzzy sets into fuzzy sets
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Author(s):
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Peter Vassilev
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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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peter.vassilev@gmail.com
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Presented at:
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9th International Workshop on Intuitionistic Fuzzy Sets, 8 October 2013, Banská Bystrica, Slovakia
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Published in:
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"Notes on Intuitionistic Fuzzy Sets", Volume 19, 2013, Number 2, pages 21—24
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Download:
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PDF (124 Kb, File info)
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Abstract:
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In the present paper a possible way for defining a hesitancy-dependent operator mapping the class of intuitionistic fuzzy sets to the class of fuzzy sets is proposed. It is proved that the so-defined operator preserves ordering (in the sense of inclusion.
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Keywords:
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Operator, Fuzzy set, Intuitionistic fuzzy set, hesitancy function.
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AMS Classification:
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03E72
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References:
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- Grzegorzewski, P. E. Mrowka. Some notes on (Atanassov’s) intuitionistic fuzzy sets. Fuzzy Sets and Systems, Vol. 156, 2005, 492–495.
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