Fuzzy measure on p-adic balls defined on a finite number set

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Abstract

The article explores an approach to constructing a fuzzy measure on p-adic balls that does not require the direct specification of the measure density. The relationships necessary for determining this measure for an arbitrary subset of a bounded numerical set, represented as a set of p-adic balls, are proven. Uniform and non-uniform fuzzy measures are considered. An algorithm for determining the fuzzy measure on p-adic balls is proposed. Examples of calculating this measure are provided.

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V. P. Bocharnikov

INEKS-FT Consulting Group

Author for correspondence.
Email: bocharnikovvp@gmail.com
ORCID iD: 0000-0003-4398-5551
Ukraine, ul. Desyatinnaya 13а, Kiev, 03011

S. V. Sveshnikov

INEKS-FT Consulting Group

Email: bocharnikovvp@gmail.com
ORCID iD: 0000-0001-8924-4535
Ukraine, ul. Desyatinnaya 13а, Kiev, 03011

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