Fuzzy Measure on p-Adic Balls Defined on a Finite Number Set

An approach to constructing a fuzzy measure on p-adic balls is considered that does not require the measure density to be directly specified. Relationships for determining this measure for an arbitrary subset of a bounded number set represented as a set of p-adic balls have been proven. Uniform and nonuniform fuzzy measures are considered. An algorithm for determining a fuzzy measure on p-adic balls is proposed. Examples of calculating this measure are given.