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A fuzzy set based approach to generalized landscape theory of aggregation. (English) Zbl 1151.90593

Summary: we firstly reformulate the landscape theory of aggregation [R. Axelrod and D. Bennett, A landscape theory of aggregation, British J. Political Sci. 23, 211–233 (1993)] in terms of an optimization problem, and then straightforwardly propose a fuzzy-set-theoretic based extension for it. To illustrate efficiency of the proposal, we make a simulation with the proposed framework for the international alignment of the Second World War in Europe. It is shown that the obtained results are essentially comparable to those given by the original theory. Consequently, the fuzzy-set-theoretic based extension of landscape theory can allow us to analyze a wide variety of aggregation processes in politics, economics, and society in a more flexible manner.

MSC:

90C59 Approximation methods and heuristics in mathematical programming
03E72 Theory of fuzzy sets, etc.

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