The Selection Method of Fuzzy Composite Operators Based on the Clear Field

Fuzzy comprehensive evaluation is one of the most effective evaluation methods. Fuzzy operations are based on fuzzy composite operators. Through an empirical analysis, we found that, with the same data set, using different fuzzy composite operators might get consistent results or inconsistent results. Therefore, a reasonable selection of fuzzy composite operators is one of the most important issues when conducting a fuzzy comprehensive evaluation. In the extensive literature, there is a clear gap on the general selection method of fuzzy composite operators. This paper analyzes the properties of five typical fuzzy composite operators, and proposes the definitions of the positive field, the negative field, the fuzzy field, the data field and the data point. Furthermore, this paper presents a classification method of the fuzzy composite operators based on the size of clear field and proposes a selection method of fuzzy composite operators based on the data field for Fuzzy evaluation applications.

Keywords: Fuzzy comprehensive evaluation; Fuzzy composite operators; Clear field; Fuzzy field; Data field

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