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DETERMINING THE CAUSES OF DEMOCRATIC CONSOLIDATION: A CONSIDERATION OF SEVERAL FUZZY METHODS

John N. Mordeson (), Terry D. Clark (), Adam Karnik (), Jacob Moore () and Mark J. Wierman ()
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John N. Mordeson: Department of Mathematics, Creighton University, Omaha, Nebraska 68178, USA
Terry D. Clark: Department of Political Science, Creighton University, Omaha, Nebraska 68178, USA
Adam Karnik: Department of Mathematics, Creighton University, Omaha, Nebraska 68178, USA
Jacob Moore: Department of Mathematics, Creighton University, Omaha, Nebraska 68178, USA
Mark J. Wierman: Department of Computer Science, Creighton University, Omaha, Nebraska 68178, USA

New Mathematics and Natural Computation (NMNC), 2009, vol. 05, issue 02, 353-369

Abstract: We use techniques of group decision making and consensus under fuzzy preferences and fuzzy majority developed so as to compare five methods used for determining the degree of causality of eight variables for democratic consolidation. In particular forQdenoting the linguistic variable 'most', we determine the fuzzyQ-core, i.e. the fuzzy subset of the set of causal variables that are not defeated (are undominated or unpreferred) by the methods. We also calculate theQ-consensus winner, i.e. the fuzzy subset of causal variables yielding the extent to which one variable is preferred to another, where 'preferred' here means stronger cause for democratic consolidation. Finally, we use the techniques of fuzzy outranking relations in preference modeling to generate relational systems of fuzzy preferences by the five methods used to determine the degree of causality of the causal variables.

Keywords: Democracy; causal variables; group decision making; fuzzy preference; fuzzy outranking relations (search for similar items in EconPapers)
Date: 2009
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DOI: 10.1142/S1793005709001465

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