The Use of Many-valued Logics to Improve the Elements and Devices of Computer Technology

Abstract

To estimate the measure of proximity and distance in various tasks (clustering, classification, etc.), one of the most common ways to represent information about objects is a binary indications vector. At the same time, to estimate the measure of proximity, a sufficiently large number of relationships are used that describe binary indicators of similarity and distance between objects with qualitative characteristics. At the same time, during the real functioning of objects, their characteristics can change over time, which can lead to uncertainties when comparing binary vectors of qualitative indications that describe these objects. Therefore, it is advisable to use many-valued logics that can take into account such uncertainties. The paper describes approaches to the application of such logics, and also considers their modifications to determine the measures of proximity and distances for objects whose characteristics are described by vectors using many-valued logics under uncertainty.