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

IF 0.7 4区 计算机科学 Q4 COMPUTER SCIENCE, SOFTWARE ENGINEERING
V. P. Bocharnikov, S. V. Sveshnikov
{"title":"Fuzzy Measure on p-Adic Balls Defined on a Finite Number Set","authors":"V. P. Bocharnikov, S. V. Sveshnikov","doi":"10.1134/s036176882401002x","DOIUrl":null,"url":null,"abstract":"<h3 data-test=\"abstract-sub-heading\">Abstract</h3><p>An approach to constructing a fuzzy measure on <i>p</i>-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 <i>p</i>-adic balls have been proven. Uniform and nonuniform fuzzy measures are considered. An algorithm for determining a fuzzy measure on <i>p</i>-adic balls is proposed. Examples of calculating this measure are given.</p>","PeriodicalId":54555,"journal":{"name":"Programming and Computer Software","volume":"13 1","pages":""},"PeriodicalIF":0.7000,"publicationDate":"2024-05-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Programming and Computer Software","FirstCategoryId":"94","ListUrlMain":"https://doi.org/10.1134/s036176882401002x","RegionNum":4,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"COMPUTER SCIENCE, SOFTWARE ENGINEERING","Score":null,"Total":0}
引用次数: 0

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.

Abstract Image

定义在有限数集上的 p-Adic 球的模糊度量
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。
求助全文
约1分钟内获得全文 求助全文
来源期刊
Programming and Computer Software
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
35
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.
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
确定
请完成安全验证×
copy
已复制链接
快去分享给好友吧!
我知道了
右上角分享
点击右上角分享
0
联系我们:info@booksci.cn Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术官方微信