Search Results - subject:"fuzzy aggregation rules"

Pena, Juan Perote; Piggins, Ashley - Department of Economics, National University of Ireland - 2005

We investigate the structure of fuzzy aggregation rules which, for every permissible profile of fuzzy individual … preferences, specify a fuzzy social preference. We show that all fuzzy aggregation rules which are strategyproof and satisfy a … aggregation rules which are strategyproof and satisfy the minimal range condition must also satisfy counterparts of independence …

Persistent link: https://www.econbiz.de/10008543366

FUZZY BLACK'S MEDIAN VOTER THEOREM: EXAMINING THE STRUCTURE OF FUZZY RULES AND STRICT PREFERENCE

GIBILISCO, MICHAEL B.; MORDESON, JOHN N.; CLARK, TERRY D. - In: New Mathematics and Natural Computation (NMNC) 08 (2012) 02, pp. 195-217

Under certain aggregation rules, particular subsets of the voting population fully characterize the social preference relation, and the preferences of the remaining voters become irrelevant. In the traditional literature, these types of rules, i.e. voting and simple rules, have received...

Persistent link: https://www.econbiz.de/10010552453

INDEPENDENCE OF IRRELEVANT ALTERNATIVES AND FUZZY ARROW'S THEOREM

MORDESON, JOHN N.; GIBILISCO, MICHAEL B.; CLARK, TERRY D. - In: New Mathematics and Natural Computation (NMNC) 08 (2012) 02, pp. 219-237

The literature involving fuzzy Arrow results uses the same independence of irrelevant alternatives condition. We introduce three other types of independence of irrelevant alternative conditions and show that they can be profitably used in the examination of Arrow's theorem. We also generalize...

Persistent link: https://www.econbiz.de/10010552455