| Title of paper:
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On a family of billiards-inspired operators over intuitionistic fuzzy sets
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| Author(s):
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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., Sofia 1113, Bulgaria
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| peter.vassilev@gmail.com
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| Vassia Atanassova
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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., Sofia 1113, Bulgaria
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| vassia.atanassova@gmail.com
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| Published in:
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Notes on Intuitionistic Fuzzy Sets, Volume 30 (2024), Number 1, pages 92–100
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| DOI:
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https://doi.org/10.7546/nifs.2024.30.1.92-100
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| Download:
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 PDF (322 Kb, Info)
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| Abstract:
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In the present work we introduce a family of geometrically inspired operators over intuitionistic fuzzy sets. In essence, if we consider the interpretational triangle as a billiards table with certain properties and each point of an intuitionistic fuzzy set as a ball propelled with a predetermined initial force, then its image after bouncing off from the boundaries of the triangle will, in general, be a new and different intuitionistic fuzzy point. The value of this image depends on the magnitude and direction of the force, which we will describe by using a parameter λ > 0 and another intuitionistic fuzzy set over the same universe.
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| Keywords:
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Intuitionistic fuzzy sets, Operator, Reflection.
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| AMS Classification:
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03E72.
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| References:
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