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Weiss, Michael D.

Fixed points, separation, and induced topologies for fuzzy sets. (English) Zbl 0297.54004

J. Math. Anal. Appl. 50, 142-150 (1975).
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Cited in 14 Reviews
Cited in 105 Documents

MSC:

54A05 Topological spaces and generalizations (closure spaces, etc.)
54H25 Fixed-point and coincidence theorems (topological aspects)
54D15 Higher separation axioms (completely regular, normal, perfectly or collectionwise normal, etc.)
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References:

[1] Bellman, R.; Kalaba, R.; Zadeh, L., Abstraction and pattern classification, J. Math. Anal. Appl., 13, 1-7 (1966) · Zbl 0134.15305
[2] Brown, J. G., A note on fuzzy sets, Inform. Control, 18, 32-39 (1971) · Zbl 0217.01403
[3] R. M. Capocelli and A. De Luca; R. M. Capocelli and A. De Luca · Zbl 0275.94001
[4] Chang, C. L., Fuzzy topological spaces, J. Math. Anal. Appl., 24, 182-190 (1968) · Zbl 0167.51001
[5] De Luca, A.; Termini, S., Algorithmic aspects in complex systems analysis, Scientia, 106, 659-671 (1971)
[6] De Luca, A.; Termini, S., A definition of a nonprobabilistic entropy in the setting of fuzzy sets theory, Inform. Control, 20, 301-312 (1972) · Zbl 0239.94028
[7] Dunford, N.; Schwartz, J., Linear Operators—Part I: General Theory (1958), Interscience: Interscience New York · Zbl 0084.10402
[8] Kelley, J. L., General Topology (1955), D. Van Nostrand: D. Van Nostrand Princeton, NJ · Zbl 0066.16604
[9] Kelley, J. L.; Namioka, I., Linear Topological Spaces (1963), D. Van Nostrand: D. Van Nostrand Princeton, NJ · Zbl 0115.09902
[10] Ruspini, E. H., A fast method for probabilistic and fuzzy cluster analysis using association measures, (Proceedings of the Sixth Hawaii International Conference on System Sciences (1973), Western Periodicals: Western Periodicals North Hollywood, CA) · Zbl 0205.21301
[11] Santos, E. S., Fuzzy algorithms, Inform. Control, 17, 326-339 (1970) · Zbl 0205.01303
[12] Zadeh, L. A., Fuzzy algorithms, Inform. Control, 12, 94-102 (1968) · Zbl 0182.33301
[13] Zadeh, L. A., Fuzzy sets, Inform. Control, 8, 338-353 (1965) · Zbl 0139.24606
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