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Arrow's Theorem 1 collegiums 1 decisive sets 1 filters 1 fuzzy aggregation rule 1 fuzzy preference profile 1 independent of irrelevant alternatives 1 non-dictatorial 1 oligarchies 1 representation rules 1 veto players 1 weakly Paretian 1
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CLARK, TERRY D. 1 MORDESON, JOHN N. 1
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New Mathematics and Natural Computation (NMNC) 1
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FUZZY ARROW'S THEOREM
MORDESON, JOHN N.; CLARK, TERRY D. - In: New Mathematics and Natural Computation (NMNC) 05 (2009) 02, pp. 371-383
In this paper, we prove a fuzzy version of Arrow's Theorem that contains the crisp version. We show that under our definitions, Arrow's Theorem remains intact even if levels of intensities of the players and levels of membership in the set of alternatives are considered.
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