Towards a Psychologically Natural Relation Between Colors and Fuzzy Degrees

Authors

Victor L. Timchenko, Admiral Makarov National University of ShipbuildingFollow
Yuriy P. Kondratenko, Petro Mohyla Black Sea National UniversityFollow
Olga Kosheleva, The University of Texas at El PasoFollow
Vladik Kreinovich, The University of Texas at El PasoFollow
Nguyen Hoang Phuong, Thang Long UniversityFollow

Publication Date

8-1-2023

Comments

Technical Report: UTEP-CS-23-47

Abstract

A natural way to speed up computations -- in particular, computations that involve processing fuzzy data -- is to use the fastest possible communication medium: light. Light consists of components of different color. So, if we use optical color computations to process fuzzy data, we need to associate fuzzy degrees with colors. One of the main features -- and of the main advantages -- of fuzzy technique is that the corresponding data has intuitive natural meaning: this data comes from words from natural language. It is desirable to preserve this naturalness as much as possible. In particular, it is desirable to come up with a natural relation between colors and fuzzy degrees. In this paper, we show that there is exactly one such natural relation, and we describe this relation.