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A note on Fung-Fu’s theorem. (English) Zbl 0606.90008
The axiomatic approach to rational decision making in a fuzzy environment proposed by L. W. Fung and K. S. Fu [Fuzzy Sets. Appl. Cogn. Decis. Processes, U.S.-Japan Semin., Berkeley 1974, 227-256 (1975; Zbl 0366.90003)] lays down a too restrictive family of aggregation rules. Because of such axioms, the independence of the size of the groups under aggregation is assumed; moreover, in a general problem, these groups are fuzzy sets.

MSC:
91B14 Social choice
03E72 Theory of fuzzy sets, etc.
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References:
[1] Arrow, K.J., Social choice and individual values, (1951/1964), Wiley New York · Zbl 0984.91513
[2] Fung, L.W.; Fu, K.S., An axiomatic approach to rational decision making in a fuzzy environment, () · Zbl 0366.90003
[3] Kelly, J.S., Arrow impossibility theorems, (1978), Academic Press New York · Zbl 0462.90004
[4] Sen, A.K., Social choice theory: a re-examination, Econometrica, 45, 53-89, (1977) · Zbl 0353.90001
[5] Zadeh, L.A., Fuzzy sets, Inform. and control, 8, 338-353, (1965) · Zbl 0139.24606
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