Scholarlink

<p>Open sets are regarded natural offshoots as they are the basic tool for structuring a topology in any environment and these are generating different generalizations whereas a few are stronger than the same and it is noteworthy that the open sets are lying in the center of the line of open like sets in any form. Fuzzy open set neither implies nor is implied by fuzzy <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="13370_2025_1348_Article_IEq1.gif" Format="GIF" Height="17" Rendition="HTML" Resolution="72" Type="Linedraw" Width="20" /> </InlineMediaObject> <EquationSource Format="TEX">\(\gamma ^*\)</EquationSource> </InlineEquation>-open sets. Even more, the family of all fuzzy <InlineEquation ID="IEq2"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="13370_2025_1348_Article_IEq1.gif" Format="GIF" Height="17" Rendition="HTML" Resolution="72" Type="Linedraw" Width="20" /> </InlineMediaObject> <EquationSource Format="TEX">\(\gamma ^*\)</EquationSource> </InlineEquation>-open sets generates a new fuzzy topology which is an independent structure that is beyond compare. In this treatise, it is claimed and established that there is a stronger form of fuzzy open set that contained in fuzzy open set as well as its associated independent fuzzy open set simultaneously for any given fuzzy topological space. Existence of strongly fuzzy independent topological space is shown in the light of fuzzy <InlineEquation ID="IEq3"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="13370_2025_1348_Article_IEq3.gif" Format="GIF" Height="14" Rendition="HTML" Resolution="72" Type="Linedraw" Width="17" /> </InlineMediaObject> <EquationSource Format="TEX">\(\delta ^*\)</EquationSource> </InlineEquation>-open set. This study may be applicable in fuzzy bags connecting with relational database analysis.</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

A novel approach towards strongly fuzzy independent structure and its applications

  • 期刊论文

  • 发表日期：

    2025年7月8日

查看全文
  • Baby Bhattacharya,
  • Satabdi Ray,
  • Md Mirazul Hoque

摘要

Open sets are regarded natural offshoots as they are the basic tool for structuring a topology in any environment and these are generating different generalizations whereas a few are stronger than the same and it is noteworthy that the open sets are lying in the center of the line of open like sets in any form. Fuzzy open set neither implies nor is implied by fuzzy \(\gamma ^*\) -open sets. Even more, the family of all fuzzy \(\gamma ^*\) -open sets generates a new fuzzy topology which is an independent structure that is beyond compare. In this treatise, it is claimed and established that there is a stronger form of fuzzy open set that contained in fuzzy open set as well as its associated independent fuzzy open set simultaneously for any given fuzzy topological space. Existence of strongly fuzzy independent topological space is shown in the light of fuzzy \(\delta ^*\) -open set. This study may be applicable in fuzzy bags connecting with relational database analysis.