Publication: Fuzzy rationality as a basis for group decision making
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Publication Date
1992
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IEEE
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The author deals with the group decision-making problem, assuming that each individual defines an opinion through fuzzy binary preference relations, in parallel to the classical approach described by K.J. Arrow (1951, 1964). In particular, it is postulated that the main reason for the discouraging impossibility theorems is neither in the domain of admissible preferences nor in the concept of solution, but in the underlying idea of rationality under all crisp approaches. Noncomplete irrational aggregations are possible under a fuzzy approach, so that Arrow's classical theorem should be understood just as an impossibility of getting complete rational aggregations
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K. J. Arrow Social Choice and Individual Values, 1964 :Wiley
D. Black The Theory of Committees and Elections, 1958 :Cambridge University Press
J. Montero J. Kacprzyk and M. Fedrizzi Multiperson Decision Making using Fuzzy Sets and Possibility Theory, pp.163 -171 1990
A. K. Sen Collective Choice and Social Welfare, 1970 :Holden-Day
J. Montero "Arrow's theorem under fuzzy rationality", Behavioral Science, pp.267 -273 1987
M. Fedrizzi J. Kacprzyk and M. Fedrizzi Multiperson Decision Making using Fuzzy Sets and Possibility Theory, pp.231 -241 1990 :Kluwer
J. Montero M. M. Gupta and T. Yamakawa Fuzzy Logic in Knovledge-Based Systems, Decision and Control, pp.259 -269 1988 :North-Holland
S. Ovchinnikov J. Kacprzyk and M. Fedrizzi Multiperson Decision Making using Fuzzy Sets and Possibility Theory, pp.143 -154 1990 :Kluwer