{"title":"Characterizations of ordered semigroups in terms of fuzzy (m, n)-substructures","authors":"Ahsan Mahboob, M. Al-Tahan, Ghulam Muhiuddin","doi":"10.1007/s00500-024-09880-z","DOIUrl":null,"url":null,"abstract":"<p>In this article, the concept of fuzzy (<i>m</i>, <i>n</i>)-quasi-ideals in ordered semigroups is developed and discussed in various ways. In addition, we present the concepts of fuzzy (<i>m</i>, 0)-ideals and fuzzy (0, <i>n</i>)-ideals in ordered semigroups and investigate some of their associated properties. Furthermore, the (<i>m</i>, <i>n</i>)-regular ordered semigroups are studied in terms of fuzzy (<i>m</i>, <i>n</i>)-quasi-ideals, fuzzy (<i>m</i>, 0)-ideals, and fuzzy (0, <i>n</i>)-ideals.</p>","PeriodicalId":22039,"journal":{"name":"Soft Computing","volume":"21 1","pages":""},"PeriodicalIF":3.1000,"publicationDate":"2024-07-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Soft Computing","FirstCategoryId":"94","ListUrlMain":"https://doi.org/10.1007/s00500-024-09880-z","RegionNum":3,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE","Score":null,"Total":0}
引用次数: 0
Abstract
In this article, the concept of fuzzy (m, n)-quasi-ideals in ordered semigroups is developed and discussed in various ways. In addition, we present the concepts of fuzzy (m, 0)-ideals and fuzzy (0, n)-ideals in ordered semigroups and investigate some of their associated properties. Furthermore, the (m, n)-regular ordered semigroups are studied in terms of fuzzy (m, n)-quasi-ideals, fuzzy (m, 0)-ideals, and fuzzy (0, n)-ideals.
期刊介绍：
Soft Computing is dedicated to system solutions based on soft computing techniques. It provides rapid dissemination of important results in soft computing technologies, a fusion of research in evolutionary algorithms and genetic programming, neural science and neural net systems, fuzzy set theory and fuzzy systems, and chaos theory and chaotic systems.
Soft Computing encourages the integration of soft computing techniques and tools into both everyday and advanced applications. By linking the ideas and techniques of soft computing with other disciplines, the journal serves as a unifying platform that fosters comparisons, extensions, and new applications. As a result, the journal is an international forum for all scientists and engineers engaged in research and development in this fast growing field.
京公网安备 11010802042870号
京ICP备2023020795号-1
分享
求助内容：
应助结果提醒方式：
扫码关注我们
