| Title of paper:
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About the Lp space of intuitionistic fuzzy observables
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| Author(s):
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| Katarína Čunderlíková
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| Mathematical Institute, Slovak Academy of Sciences, Štefánikova 49, 814 73 Bratislava, Slovakia
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| cunderlikova.lendelova@gmail.com
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| Presented at:
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26th International Conference on Intuitionistic Fuzzy Sets, Sofia, 26—27 June 2023
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| Published in:
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Notes on Intuitionistic Fuzzy Sets, Volume 29 (2023), Number 2, pages 90–98
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| DOI:
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https://doi.org/10.7546/nifs.2023.29.2.90-98
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| Download:
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 PDF (220 Kb, File info)
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| Abstract:
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The aim of this paper is to define an [math]\displaystyle{ L^p }[/math] space of intuitionistic fuzzy observables. We work in an intuitionistic fuzzy space [math]\displaystyle{ ({\mathcal F}, {\bf m})\lt math\gt with product, where \lt math\gt \mathcal F }[/math] is a family of intuitionistic fuzzy events and [math]\displaystyle{ {\bf m} }[/math] is an intuitionistic fuzzy state. We prove that the space [math]\displaystyle{ L^p }[/math] with corresponding intuitionistic fuzzy pseudometric [math]\displaystyle{ \rho_{IF} }[/math] is a pseudometric space.
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| Keywords:
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Intuitionistic fuzzy observable, Intuitionistic fuzzy state, Joint intuitionistic fuzzy observable, Function of several intuitionistic fuzzy observables, Product, Lp space, Pseudometric space, Intuitionistic fuzzy pseudometric.
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| AMS Classification:
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03B52, 60A86.
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| References:
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