From Fuzzy to Mobile Fuzzy

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

Publication Date

10-1-2023

Comments

Technical Report: UTEP-CS-23-60

Abstract

The main limitation of mobile computing in comparison with regular computing is the need to make sure that the battery last as long as possible –- and thus, the number of computational steps should be as small as possible. In this paper, we analyze how this affects fuzzy computations. We show that the need for fastest computations leads to triangular membership functions and simplest "and"- and "or"-operations: min and max. It also leads to the need to limit ourselves to a few-bit description of fuzzy degrees –- which leads to 3-bit descriptions similar to optical implementation of fuzzy computing.