School of Reliability and System Engineering, Beihang University, Beijing, China

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Abstract—The paper aims to expand the concept of linguistic variable. The study analyzes the common conclusion forms in the evaluation project. The evaluation often makes the final conclusion by analyzing the fuzzy number and its membership function. However, the information of modified word or phrase (“largely”, “preliminary” and “unclear”) has got lost in analysis. The research believe these modified words imply the inherent rejudgments on the mainly conclusions. And the study develops the extended linguistic variable by integrating the modified and traditional linguistic variable. Then the study defines the effective set of extended linguistic variable. The effective set suggest the valuable scale of the extended linguistic variable.

Index Terms—extended linguistic variable; modified Linguistic variable; effective set

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Cite: Shenghan Zhou and Wenbing Chang, " Extended Linguistic Variable and Its Effective Set," Journal of Computers vol. 8, no. 5, pp. 1214-1219, 2013.