| Title of paper:
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On intuitionistic fuzzy version of Zadeh’s extension principle
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| Author(s):
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| Selami Bayeğ
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| Industrial Engineering Department, University of Turkish Aeronautical Association, Ankara, Turkey
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| sbayeg@thk.edu.tr
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| Raziye Mert
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| Department of Software Engineering, Adana Alparslan Turkes Science and Technology University, Adana, Turkey
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| rmert@atu.edu.tr
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| Published in:
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Notes on Intuitionistic Fuzzy Sets, Volume 27 (2021), Number 3, pages 9–17
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| DOI:
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https://doi.org/10.7546/nifs.2021.27.3.9-17
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| Download:
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 PDF (177 Kb, File info)
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| Abstract:
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In this paper, by using [math]\displaystyle{ \alpha }[/math]- and [math]\displaystyle{ \beta }[/math]-cuts approach and the intuitionistic fuzzy Zadeh’s extension principle, we have proved a result which reveals that the [math]\displaystyle{ \alpha }[/math]- and [math]\displaystyle{ \beta }[/math]-cuts of an intuitionistic fuzzy number obtained by the intuitionistic fuzzy Zadeh’s extension principle coincide with the images of the [math]\displaystyle{ \alpha }[/math]- and [math]\displaystyle{ \beta }[/math]-cuts by the crisp function. Then we have given a corollary about monotonicity of the extension principle. Finally, we have extended these results to [math]\displaystyle{ IF_N(\mathbb{R}) \times IF_N(\mathbb{R}) }[/math].
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| Keywords:
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Intuitionistic fuzzy sets, Intuitionistic fuzzy Zadeh’s extension principle, Zadeh’s extension principle.
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| AMS Classification:
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94D05, 26E50.
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| References:
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