Pointwise uniformities and pointwise metrics on fuzzy lattices

Chinese Science Bulletin

Volumn 42, Issue 9, 1997, Pages 718-720

  Shi, Fugui ^a  

^a LUDONG UNIVERSITY   (China)

Author keywords

Complete regularity; Fuzzy lattice; Pointwise metric; Pointwise uniformity; Remote neighborhood mapping

Indexed keywords

EID: 0242359003     PISSN: 10016538     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF03186961     Document Type: Article

References (9)

1. Hutton, B., Uniformities fuzzy on topological spaces, J. Math. Anal. Appl., 1977, 58: 559.
2. Erceg, M. A., Metric in fuzzy set theory, J. Math. Anal., 1979, 69: 205.
3. Liu Yingming, Pointwise characterizations of complete regularity and imbedding theorem in fuzzy topological spaces, Scientia Sinica Ser. A (in Chinese), 1982, 8: 675.
4. Liu Yingming, Liang Jihua, Fuzzy topology - stratification and pointed approach, Advances in Mathematics (in Chinese), 1994, 23(4): 304.
5. Uniformities on completely distributive lattices, Kexue Tongbao (Chinese Science Bulletin) (in Chinese), 1989, 34(14): 1049.
6. Peng Yuwei, Some advances of pointwise p. q. (p.) metric theory on a lattice, J. Sichuan University (Natural Science) (in Chinese), 1990, 27(3): 275.
7. Hutton, B., Reilly, I., Separation axioms in fuzzy topological spaces, Fuzzy Sets and Systems, 1980, 3: 93.
8. Wang Guojun, Theory of topological molecular lattices, Fuzzy Sets and Systems (in Chinese), 1992, 47: 351.
9. Shi Fugui, Pointwise quasi-uniformities and pseudo-quasi-metrics on completely distributive lattices, Acta Mathematica Sinica (in Chinese), 1996, 39(5): 701.