{"title":"Structure of (weakly associative) micanorms","authors":"Eunsuk Yang","doi":"10.1007/s00500-024-09915-5","DOIUrl":null,"url":null,"abstract":"<p>Yang introduced binary MICA (Monotonic Identity Commutative Aggregation) operations called <i>micanorms</i> and micanorms with three weak forms of associativity. This paper investigates general and specific structure of those micanorms. For this, we first recall (weakly associative) micanorms introduced by Yang. Next, we introduce a construction to characterize those micanorms in general. Finally, we consider similar constructions to specify them together with some examples to illustrate those constructions.</p>","PeriodicalId":22039,"journal":{"name":"Soft Computing","volume":"318 1","pages":""},"PeriodicalIF":3.1000,"publicationDate":"2024-08-12","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/s00500-024-09915-5","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
Yang introduced binary MICA (Monotonic Identity Commutative Aggregation) operations called micanorms and micanorms with three weak forms of associativity. This paper investigates general and specific structure of those micanorms. For this, we first recall (weakly associative) micanorms introduced by Yang. Next, we introduce a construction to characterize those micanorms in general. Finally, we consider similar constructions to specify them together with some examples to illustrate those constructions.
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.
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