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Knowledge-based systems consist of a knowledge base, containing information relevant to the problem, and a program to manipulate that knowledge base. The format of the knowledge—the knowledge representation—is important in making the system understandable and efficient. A key issue in many knowledge-based programs is the mechanism used to handle uncertainty. Here we outline four classes of knowledge representation and focus on the methods used to handle uncertainty.
Thunderstorm detection based on the Atmospheric Electric Field (AEF) has evolved from time-domain models to space-domain models. It is especially important to evaluate and determine the particularly Weather Attribute (WA), which is directly related to the detection reliability and authenticity. In this paper, a strategy is proposed to integrate three currently competitive WA's evaluation methods. First, a conventional evaluation method based on AEF statistical indicators is selected. Subsequent evaluation approaches include competing AEF-based predicted value intervals, and AEF classification based on fuzzy c-means. Different AEF attributes contribute to a more accurate AEF classification to different degrees. The resulting dynamic weighting applied to these attributes improves the classification accuracy. Each evaluation method is applied to evaluate the WA of a particular AEF, to obtain the corresponding evaluation score. The integration in the proposed strategy takes the form of a score accumulation. Different cumulative score levels correspond to different final WA results. Thunderstorm imaging is performed to visualize thunderstorm activities using those AEFs already evaluated to exhibit thunderstorm attributes. Empirical results confirm that the proposed strategy effectively and reliably images thunderstorms, with a 100% accuracy of WA evaluation. This is the first study to design an integrated thunderstorm detection strategy from a new perspective of WA evaluation, which provides promising solutions for a more reliable and flexible thunderstorm detection.
In this paper, we present a series of sharpened versions of generalized Hölder's inequality.As an application in information theory, we give a new refinement of Singh's inequality with respect to the 'useful' information of order α for the power distribution.The Singh's inequality include Shannon's inequality as a special case.
The theory of fuzzy sets considers that everything exhibits some elasticity and is a matter of degree. When fuzzy numbers are used to evaluate the judgements of decision makers (DMs) in pairwise comparisons of alternatives following the analytic hierarchy process, the flexibility experienced by DMs has been exhibited. In order to capture this aspect of flexibility, it is important to know how to realize the flexibility degree of fuzzy numbers and further present a method of realizing its quantification. In this paper, a definition of the flexibility degree of fuzzy numbers is proposed. Some formulas are proposed to quantify the flexibility and rigidity degrees of interval numbers, triangular fuzzy numbers, and trapezoidal fuzzy numbers. A group decision making (GDM) model is developed under the consideration of the flexibility of DMs. By considering the effects of the applied scale and the reciprocal relation, the flexibility degree of interval multiplicative reciprocal comparison matrices is further defined, which is used to evaluate the flexibility degree of the DM involved in the decision process. An RD-IOWGA operator is proposed to aggregate individual interval multiplicative reciprocal matrices by associating more importance to that with less flexibility. A new algorithm is shown to solve GDM problems with interval multiplicative reciprocal preference relations. Numerical studies are carried out to illustrate the new definitions and offer some comparative analysis. The observations reveal that the developed consensus method can be used to model the GDM with a dominant position.