Similarity-based fuzzy limits

  • Authors:
  • Gültekin Soylu

  • Affiliations:
  • Department of Mathematics, Akdeniz University, 07058 AntaIya, Turkey

  • Venue:
  • Fuzzy Sets and Systems
  • Year:
  • 2008

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Abstract

In this paper the concept of similarity-based fuzzy limits in metric spaces is introduced and it is shown that it is an application of limit maps of topologies on [0,1]-valued sets, introduced by Hohle and Sostak, furthermore it is observed that the similarity-based setting introduced is a more general approach to fuzzy limits than the one proposed by Burgin.