Scholarlink

<p>Grouping functions, are extensively utilized in decision-making, classification, image processing and other related domains as forms of aggregation functions. Meanwhile, the migrativity of bivariate aggregation functions, extensively explored in numerous scholarly works, emerges as a pivotal and particularly intriguing characteristic. In the present paper, we give the concept of <InlineEquation ID="IEq4"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="40314_2024_3028_Article_IEq4.gif" Format="GIF" Height="10" Rendition="HTML" Resolution="72" Type="Linedraw" Width="14" /> </InlineMediaObject> <EquationSource Format="TEX">\(\alpha \)</EquationSource> <EquationSource Format="MATHML"><math> <mi>α</mi> </math></EquationSource> </InlineEquation>-cross migrativity between fuzzy implications and grouping functions. And then, we discuss certain additional properties pertaining to mutual exchangeable and law of importation. Afterwards, we show these properties in a simple and clear way with examples. Ultimately, the <InlineEquation ID="IEq5"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="40314_2024_3028_Article_IEq5.gif" Format="GIF" Height="10" Rendition="HTML" Resolution="72" Type="Linedraw" Width="14" /> </InlineMediaObject> <EquationSource Format="TEX">\(\alpha \)</EquationSource> <EquationSource Format="MATHML"><math> <mi>α</mi> </math></EquationSource> </InlineEquation>-cross migrativity of certain specific classes of fuzzy implications over grouping functions is thoroughly characterized.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

\(\alpha \)-cross-migrativity between fuzzy implications and grouping functions

  • 期刊论文

  • 发表日期：

    2025年1月6日

查看全文
  • Yun Song,
  • Junsheng Qiao

摘要

Grouping functions, are extensively utilized in decision-making, classification, image processing and other related domains as forms of aggregation functions. Meanwhile, the migrativity of bivariate aggregation functions, extensively explored in numerous scholarly works, emerges as a pivotal and particularly intriguing characteristic. In the present paper, we give the concept of \(\alpha \) α -cross migrativity between fuzzy implications and grouping functions. And then, we discuss certain additional properties pertaining to mutual exchangeable and law of importation. Afterwards, we show these properties in a simple and clear way with examples. Ultimately, the \(\alpha \) α -cross migrativity of certain specific classes of fuzzy implications over grouping functions is thoroughly characterized.