On some chains of fuzzy sets. (English) Zbl 0444.94050
MSC:
| 94D05 | Fuzzy sets and logic (in connection with information, communication, or circuits theory) |
| 94A17 | Measures of information, entropy |
| 28D20 | Entropy and other invariants |
| 28A20 | Measurable and nonmeasurable functions, sequences of measurable functions, modes of convergence |
| 91B06 | Decision theory |
Keywords:
chains of fuzzy sets; measurable fuzzy sets; lattice structure; cognitive process in a fuzzy environment; sequence of decisions; measure space; valuation on a latticeReferences:
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| [3] | Capocelli, R. M.; De Luca, A., Fuzzy Sets and Decision Theory, Information and Control, 23, 446-473 (1973) · Zbl 0275.94001 |
| [4] | De Luca, A.; Termini, S., A definition of a nonprobabilistic entropy in the setting of fuzzy sets theory, Information and Control, 20, 301-312 (1972) · Zbl 0239.94028 |
| [5] | Halmos, P. R., Measure Theory (1950), Van Nostrand Reinhold: Van Nostrand Reinhold New York, NY · Zbl 0117.10502 |
| [6] | Knopfmacher, J., On measure of fuzziness, J. Math. Anal. Appl., 49, 529-534 (1975) · Zbl 0308.02061 |
| [7] | Zadeh, L. A., Fuzzy sets, Information and Control, 8, 338-353 (1965) · Zbl 0139.24606 |
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