Abstract
Fuzzy and rough sets are considered to be complementary to each other, addressing different aspects of uncertainty and vagueness. The rough set theory has been extended and modified such that it can be applied to the preference analysis in ordered decision making. However, neither the ordered structure nor dominance degrees among the investigated objects can be revealed during the ordered decision making process. In this paper, an innovative rough set model based on fuzzy covering is developed for ordered decision making. First, the crisp preference relation rough set model and the fuzzy preference relation model for ordered decision making were introduced. Next we integrated the fuzzy preference relation with the crisp preference relation rough set model to propose an innovative rough set model based on fuzzy covering for ordered decision making. Using the innovative model, both the ordered structure and dominance degrees among the investigated objects can be revealed during the ordered decision making process. The proposed model was then compared with the crisp preference rough set model. Finally, the proposed model is utilized to analyze fuzzy preference data obtained from real experiments of ordered decision making. Results validated the effectiveness of the innovative model.
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