A METHOD FOR THE EVALUATION AND SELECTION OF AN APPROPRIATE FUZZY IMPLICATION BY USING STATISTICAL DATA

G.N. Botzoris, K. Papadopoulos and B.K. Papadopoulos
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G.N. Botzoris: Department of Civil Engineering, Democritus University of Thrace
K. Papadopoulos: American University of the Middle East, Egaila, Kuwait
B.K. Papadopoulos: Department of Civil Engineering, Democritus University of Thrace

Fuzzy Economic Review, 2015, vol. XX, issue 2, 19-29

Abstract: In classic logic, there exists an implication of the form p=> q equiv n(p) v q (where n(p) is the negation of p and v the maximum). If we consider the fact that the propositions p and q take only the values 0 and 1, then the values of the classic implication are well-defined. In fuzzy logic, where the proposition can take any value in the closed interval [0, 1], there is an infinite number of fuzzy implications which can be used; hence, a method of selecting the most appropriate implication is required. In this paper, we propose a method of evaluation of the different fuzzy implications using available statistical data. The choice of the appropriate implication is based on the deviation of the truth value of the fuzzy implication from the real values, as described by the statistical data.

Keywords: fuzzy implication; statistical data; air passenger demand; GDP (search for similar items in EconPapers)
JEL-codes: C02 C60 C61 (search for similar items in EconPapers)
Date: 2015
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