Topological interpretation of fuzzy sets and intervals

Fuzzy Sets and Systems

Volumn 135, Issue 1 SPEC., 2003, Pages 11-20

  Albrecht, Rudolf F ^a  

^a UNIVERSITY OF INNSBRUCK   (Austria)

Author keywords

Fuzzy sets; Interval analysis; Theory of approximations; Topology

Indexed keywords

APPROXIMATION THEORY; COMPUTATIONAL METHODS; TOPOLOGY;

INTERVAL THEORY;

FUZZY SETS;

EID: 0037399918     PISSN: 01650114     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0165-0114(02)00247-6     Document Type: Article

References (20)

1. Albrecht R.F. On mathematical systems theory. Albrecht R. Systems. Theory and Practice:1998;33-86 Springer, Vienna, New York.
2. Albrecht R.F. Topological theory of fuzziness. Reusch B. Computational Intelligence, Theory and Applications, Lecture Notes in Computer Science. Vol. 1625:1999;1-11 Springer, Heidelberg, New York.
3. Birkhoff G. Lattice Theory. 1967;American Mathematical Society, Providence RI.
4. ie, Paris, 1951 (Chapitre I, II).
5. Diamond P., Kloeden P. Metric Spaces of Fuzzy Sets, Theory and Applications. 1994;World Scientific, Singapore, New Jersey, London, Hong Kong.
6. Dubois P., Prade H. Fuzzy Sets and Systems: Theory and Applications. 1980;Academic Press, Boston, San Diego, New York, London, Sydney, Tokyo.
7. Dugundji J. Topology. 1972;Allyn and Bacon, Boston.
8. Engelking R. General Topology. 1989;Heldermann, Berlin.
9. Grätzer G. General Lattice Theory. 1978;Birkhäuser, Basel, Stuttgart.
10. Hermes H. Einführung in die Verbandstheorie. 1967;Springer, Berlin, New York.
11. Herzberger J. Einführung in das wissenschaftliche Rechnen. 1997;Addison-Wesley, Reading, MA, Longman, New York.
12. Höhle U. Representation theorems for L-fuzzy quantities. Fuzzy Sets and Systems. 5:1981;83-107.
13. Klir G.J., Folger T.A. Fuzzy Sets, Uncertainty and Information. 1988;Prentice-Hall, London.
14. Kulisch U.W., Miranker W.L. Computer Arithmetic in Theory and Practice. 1981;Academic Press, New York.
15. Lowen R. Fuzzy Set Theory. 1996;Kluwer Academic Publishers, Dordrecht, Boston, London.
16. Negoita C.V. A generalization of the representation theorem. Fuzzy Sets and Systems. 51:1992;309-311.
17. Negoita C.V., Ralescu D.A. Applications of Fuzzy Sets to System Analysis. 1975;Birkhäuser, Basel, Stuttgart.
18. Nöbeling G. Grundlagen der Analytischen Topologie. 1954;Springer, Berlin, Göttingen, Heidelberg.
19. Preuß G. Allgemeine Topologie. 2:1975;Auflage, Springer, Berlin, Heidelberg, New York.
20. Zimmermann H.J. Fuzzy Set Theory and its Applications. 2nd Edition:1991;Kluwer Academic Publishers, Boston, Dordrecht, London.