Hostname: page-component-cd9895bd7-p9bg8 Total loading time: 0 Render date: 2024-12-28T14:40:14.907Z Has data issue: false hasContentIssue false
  • English
  • Français

On the structure of fuzzes

Published online by Cambridge University Press:  24 October 2008

Giuliano Artico  and
Roberto Moresco
Giuliano Artico
Affiliation:
Dipartimento di Matematica Pura e Applicata, Università di Padova, Padova, Italy
Roberto Moresco
Affiliation:
Dipartimento di Matematica Pura e Applicata, Università di Padova, Padova, Italy
Get access Rights & Permissions [Opens in a new window]

Extract

The aim of this paper is to investigate the structure of fuzzes, introduced by Hutton. We shall not be concerned here with fuzzy topology, but we think that a deeper knowledge of the properties of fuzzes may be helpful in several fields of fuzzy set theory, and in the study of fuzzy topological spaces in particular.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 104 , Issue 2 , September 1988 , pp. 235 - 251
Copyright
Copyright © Cambridge Philosophical Society 1988

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

[1]Artico, G. and Moresco, R.. α*-compactness of the fuzzy unit interval. Fuzzy Sets and Systems 25 (1988), 243–249.Google Scholar
[2]Dwinger, P.. Structure of completely distributive complete lattices. Indag. Math. 43 (1981), 361–373.Google Scholar
[3]Erceg, M. A.. Functions, equivalence relations, quotient spaces and subsets in fuzzy sets theory. Fuzzy Sets and Systems 3 (1980), 75–92.Google Scholar
[4]Gratzer, G.. General Lattice Theory (Birkhäuser-Verlag, 1978).CrossRefGoogle Scholar
[5]Herrlich, H. and Strecker, G. E.. Category Theory (Allyn and Bacon Inc., 1973).Google Scholar
[6]Hutton, B.. Products of fuzzy topological spaces. Topology Appl. 11 (1980), 59–67.Google Scholar
[7]Moresco, R.. Structure of completely distributive complete lattices. Indag. Math. 49 (1987), 69–71.Google Scholar
[8]Raney, G. N.. A subdirect union representation for completely distributive complete lattices. Proc. Amer. Math. Soc. 4 (1953) 518–522.Google Scholar
[9]Rodabaugh, S. E.. Separation axioms and the fuzzy real lines. Fuzzy Sets and Systems 11 (1983), 163–183.CrossRefGoogle Scholar