JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2014, Vol. 49 ›› Issue (10): 72-77.doi: 10.6040/j.issn.1671-9352.0.2013.548

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Characterization of bicompletable interval-valued fuzzy quasi-metric spaces

LU Han-chuan, LI Sheng-gang   

  1. College of Mathematics and Information Science, Shaanxi Normal University, Xi'an 710062, Shanxi, China
  • Received:2013-11-03 Online:2014-10-20 Published:2014-11-10

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Abstract: We generalize the notions of interval-valued fuzzy metric in the quasi-metric background. The main results of this paper are: (1) the isometric extension theorem of interval-valued fuzzy quasi-metric space is given; (2) it is proved that every interval-valued fuzzy quasi-metric space has bicompletion and is unique up to isometry; (3) a method to construct the interval-valued fuzzy quasi-metric space bicompletion is given, and a equivalent characterization of interval-value fuzzy quasi-metric spaces is obtained which can be bicompletable.

Key words: interval-valued fuzzy quasi-metric bicompletion, isometry, interval-valued fuzzy quasi-metric spaces, bi-Cauchy sequence

CLC Number: 

  • O189.13
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