The Pure and Applied Mathematics (한국수학교육학회지시리즈B:순수및응용수학)

Korean Society of Mathematical Education (한국수학교육학회)
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FUZZY COMPLETE LATTICES AND DISTANCE SPACES

  • Ko, Jung Mi (Mathematics Department, Gangneung-Wonju National University) ;
  • Kim, Yong Chan (Mathematics Department, Gangneung-Wonju National University)
  • Received : 2020.07.19
  • Accepted : 2021.09.01
  • Published : 2021.11.30
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Abstract

In this paper, we introduce the notions of fuzzy join (resp. meet) complete lattices and distance spaces in complete co-residuated lattices. Moreover, we investigate the relations between Alexandrov pretopologies (resp. precotopologies) and fuzzy join (resp. meet) complete lattices, respectively. We give their examples.

Keywords

Acknowledgement

This work was supported by the Research Institute of Natural Science of Gangneung-Wonju National University.

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