×

zbMATH — the first resource for mathematics

Examples of classical and fuzzy Riesz proximities. (English) Zbl 0840.54006
Summary: Examples of approximities which are Riesz (respectively fuzzy Riesz) but not Lodato (respectively fuzzy Lodato) have been constructed.

MSC:
54A40 Fuzzy topology
54E05 Proximity structures and generalizations
PDF BibTeX XML Cite
Full Text: EuDML
References:
[1] ČECH E.: Topological Spaces. (rev. by Z. Frolik and M. Katetov), Czechoslovak Acad. of Sciences, Prague, 1966. · Zbl 0141.39401
[2] LODATO M. W.: On topologically induced generalized proximity relations. Proc. Amer. Math. Soc. 15 (1964), 417-422. · Zbl 0129.37604 · doi:10.2307/2034517
[3] MASHHOUR A. S., GHANIM M. H., FATH ALLA M. A.: Fuzzy ultrafilters and fuzzy grills. Simon Stevin 60 (1986), 3-14. · Zbl 0589.54012
[4] SRIVASTAVA P., GUPTA R. L.: Fuzzy symmetric generalized proximity spaces. J. Math. Anal. Appl. 82 (1981), 491-502. · Zbl 0485.54006 · doi:10.1016/0022-247X(81)90212-2
[5] SRIVASTAVA P., KHARE M.: Fuzzy f-proximities. Fuzzy Sets and Systems 59 (1993), 197-203. · Zbl 0839.54006 · doi:10.1016/0165-0114(93)90199-R
[6] THRON W. J.: Proximity structures and grills. Math. Ann. 206 (1973), 35-62. · Zbl 0247.54027 · doi:10.1007/BF01431527 · eudml:162505
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.