The bicompletion of fuzzy quasi-metric spaces

作者：Castro Company F; Romaguera S^*; Tirado P

来源：Fuzzy Sets and Systems, 2011, 166(1): 56-64.

DOI：10.1016/j.fss.2010.12.004

• Fuzzy quasi-metric
• Bicomplete
• Isometry
• Bicompletion

Extending the well-known result that every fuzzy metric space, in the sense of Kramosil and Michalek, has a completion which is unique up to isometry, we show that every KM-fuzzy quasi-metric space has a bicompletion which is unique up to isometry, and deduce that for each KM-fuzzy quasi-metric space, the completion of its induced fuzzy metric space coincides with the fuzzy metric space induced by its bicompletion.

• 出版日期2011-3-16