{"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.
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.