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In order to measure fuzzy uncertainty of fuzzy rough set, a cross fuzzy entropy (CFE) measuring method based on the notion of rough membership in fuzzy rough set is defined combing with the analysis of fuzzy entropy in fuzzy set, the relative properties are analyzed. This method can not only measure fuzzy uncertainty of fuzzy rough set, but also indirectly reflect rough uncertainty contained in data...
In order to measure and evaluate the uncertain factors impacting on the due date of product, the impact factors of the completion date of product on shop floor is intensive investigated firstly. The data of uncertain factors which affected the completion date of products are sorted out, the decision system was made of impact factors that correlative with the completion date of product, and was analyzed...
In this paper, the properties of the inclusion degree and similarity degree of L-fuzzy sets are presented. On the basis, the inclusion degree and similarity degree of fuzzy rough sets are defined. The generating methods of the inclusion degree and similarity degree of fuzzy rough sets are presented, through the proved properties of the inclusion degree and similarity degree. Finally, the generating...
A new Rough-Fuzzy Controller is proposed to enhance the uncertainty reasoning process in control scheme in mobile robotics. The rough set theory and fuzzy logic system were utilized to calculate the `rough-fuzziness' for inputs from environments. The experimental results showed that the proposed rough-fuzzy controller performed better control behavior compared to other control methods in mobile robot...
Residuated lattice is an important non-classical logic algebra, and L-fuzzy rough set based on residuated lattice can describe the information with incompleteness, fuzziness and uncomparativity in information system. In this paper, the properties of L-fuzzy rough sets based on residuated lattice are given as the expansion of ref.
The paper studies the fuzziness measure in fuzzy rough sets. By making use of the support set of fuzzy sets, a rough membership function for fuzzy sets based on fuzzy relation is introduced. Simultaneously, a fuzziness measure of fuzzy rough sets from total mean fuzzy degree is proposed. And then, it is proved that the fuzziness measure of fuzzy rough sets, denoted by, equals to zero if the set is...
Dataset dimensionality is undoubtedly the single most significant obstacle which exasperates any attempt to apply effective computational intelligence techniques to problem domains. In order to address this problem a technique which reduces dimensionality is employed prior to the application of any classification learning. Such feature selection (FS) techniques attempt to select a subset of the original...
This paper defines a new parameter for describing the uncertainty of rough sets. Different from the roughness of a rough set, a global roughness measures the uncertainty of rough sets with respect to the entire information system. This is essential especially for a special rough set - boundary rough sets.We give the definition of global roughness of approximation and boundary rough sets, and analyse...
This paper presents a new approach to fuzzy classification in the case of missing features. The rough set theory is incorporated into neuro-fuzzy structures and the rough-neuro-fuzzy classifier is derived. The architecture of the classifier is determined by the modified indexed center of gravity (MICOG) defuzzification method. The structure of the classifier is presented in a general form, which includes...
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