Interval-Valued and Set-Valued Extensions of Discrete Fuzzy Logics, Belnap Logic, and Color Optical Computing

Authors

Victor L. Timchenko, Admiral Makarov National University of ShipbuildingFollow
Yury P. Kondratenko, Petro Mohyla Black Sea National UniversityFollow
Vladik Kreinovich, The University of Texas at El PasoFollow

Publication Date

1-1-2023

Comments

Technical Report: UTEP-CS-23-03a

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 that it is reasonable to consider discrete fuzzy logics, it is reasonable to consider their interval-valued and set-valued extensions, and that a set-valued extension of the 3-values logic is naturally equivalent to the use of color combinations.