Abstract
It has been recently shown that in some applications, e.g., in ship navigation near a harbor, it is convenient to use combinations of basic colors – red, green, and blue – to represent different fuzzy degrees. In this paper, we provide a natural explanation for the efficiency of this empirical fact: namely, we show: (1) that it is reasonable to consider discrete fuzzy logics, (2) that it is reasonable to consider their interval-valued and set-valued extensions, and (3) that a set-valued extension of the 3-valued logic is naturally equivalent to the use of color combinations.
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The authors are greatly thankful the anonymous referees for valuable suggestions.
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Timchenko, V.L., Kondratenko, Y.P., Kreinovich, V. (2023). Interval-Valued and Set-Valued Extensions of Discrete Fuzzy Logics, Belnap Logic, and Color Optical Computing. In: Massanet, S., Montes, S., Ruiz-Aguilera, D., González-Hidalgo, M. (eds) Fuzzy Logic and Technology, and Aggregation Operators. EUSFLAT AGOP 2023 2023. Lecture Notes in Computer Science, vol 14069. Springer, Cham. https://doi.org/10.1007/978-3-031-39965-7_25
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