定义在有限数集上的 p-Adic 球的模糊度量

IF 0.7 4区计算机科学 Q4 COMPUTER SCIENCE, SOFTWARE ENGINEERING

Programming and Computer Software Pub Date : 2024-05-22 DOI:10.1134/s036176882401002x

V. P. Bocharnikov, S. V. Sveshnikov

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引用次数: 0

摘要

摘要本文考虑了一种构建 p-adic 球上模糊度量的方法，这种方法不需要直接指定度量密度。已经证明了为用 p-adic 球集表示的有界数集的任意子集确定该度量的关系。考虑了均匀和非均匀模糊度量。提出了一种确定 p-adic 球上模糊度量的算法。给出了计算该度量的示例。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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

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

Abstract

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.

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来源期刊

Programming and Computer Software 工程技术-计算机：软件工程

CiteScore

1.60

自引率

28.60%

发文量

审稿时长

>12 weeks

期刊介绍： Programming and Computer Software is a peer reviewed journal devoted to problems in all areas of computer science: operating systems, compiler technology, software engineering, artificial intelligence, etc.