(IC)LM-FUZZY TOPOLOGICAL SPACES

Publish Year: 1391
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:

JR_IJFS-9-6_010

تاریخ نمایه سازی: 5 تیر 1401

Abstract:

The aim of the present paper is to define and study (IC)LM-fuzzytopological spaces, a generalization of (weakly) induced LM-fuzzytopological spaces. We discuss the basic properties of(IC)LM-fuzzy topological spaces, and introduce the notions ofinterior (IC)-fication and exterior (IC)-fication of LM-fuzzytopologies and prove that {bf ICLM-FTop} (the category of(IC)LM-fuzzy topological spaces) is an isomorphism-closed fullproper subcategory of {bf LM-FTop} (the category of LM-fuzzytopological spaces) and {bf ICLM-FTop} is a simultaneouslybireflective and bicoreflective full subcategory of {bf LM-FTop}.

Keywords:

LM-fuzzy topology , (IC) LM-fuzzy topological spaces , (IC)-fication of LM-fuzzy topology , category

Authors

Hai-Yang Li

School of Science, Xi'an Polytechnic University, Xi'an ۷۱۰۰۴۸, P. R. China

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  • bibitem{AHS:Abstract}J. Ad'{a}mek, H. Herrlich and G. E. Strecker, {it Abstract ...
  • bibitem{Chang:Fuzzy}C. L. Chang, {it Fuzzy topological spaces}, J. Math. Anal. ...
  • bibitem{FY:Base}J. Fang and Y. Yue, {it Base and subbase in ...
  • bibitem{GHKL:Cont}G. Gierz, K. H. Hofmann, K. Keimel, J. D. Lawson, ...
  • bibitem{GHK:Comp}G. Gierz, K. H. Hofmann, K. Keimel and et al., ...
  • bibitem{Hh:Upper}U. H"{o}hle, {it Upper semicontinuous fuzzy sets andapplications}, J. Math. ...
  • bibitem{HhSo:Afff}U. H"{o}hle and A. P. v{S}ostak, {it Axiomaticfoundations of fixed-basis ...
  • Rodabaugh, eds., Mathematic of Fuzzy Sets-Logic, Topology andMeasure Theory, Kluwer ...
  • bibitem{Kub:ft}T. Kubiak, {it On fuzzy topologies}, Ph.D. Thesis, AdamMickiewicz, Poznan, ...
  • bibitem{LSG:Con}S. G. Li, {it Connectedness and local connectedness in Lowen ...
  • bibitem{LLF:IC}S. G. Li, H. Y. Li and W. Q. Fu, ...
  • bibitem{Low:Fts}R. Lowen, {it Fuzzy topological spaces and fuzzy compactness},J. Math. ...
  • bibitem{Macl:Categ}S. Maclane, {it Categories for working mathematicians}, Springer, Berlin, ۱۹۷۱ ...
  • bibitem{Mar:Weakly}H. W. Martin, {it Weakly induced fuzzy topological spaces},J. Math. ...
  • bibitem{rodab:Pofft}S. E. Rodabaugh, {it Powerset operator foundations for poslat fuzzyset ...
  • bibitem{Rodab;Cafft}S. E. Rodabaugh, {it Categrical foundations ofvariable-basis fuzzy topology}, In: ...
  • E. Rodabaugh, eds., Mathematic of Fuzzy Sets-Logic, Topology andMeasure Theory, ...
  • bibitem{So:Bsft}A. P. v{S}ostak, {it Basic structures of fuzzy topology}, J. ...
  • bibitem{So:Fts}A. P. v{S}ostak, {it On a fuzzy topologicalstructure}, Rend. Ciecolo ...
  • bibitem{So:Tdft}A. P. v{S}ostak, {it Two decades of fuzzy topology: basic ...
  • bibitem{Wei:Fixed}M. D. Weiss, {it Fixed points, separation and induced topologiesfor ...
  • bibitem{Yao;Net}W. Yao, {it Net-theoretical L-generalized convergence spaces}, Iranian Journal of ...
  • bibitem{Yue:Ind}Y. Yue, {it Lattice-valued induced fuzzy topological spaces}, Fuzzy Setsand ...
  • bibitem{Zh:Lft}D. Zhang, {it L-fuzzifying topologies as L-topologies},Fuzzy Sets and Systems, ...
  • نمایش کامل مراجع