Extension theory are widely used in many fields such as automation, manufacturing process, operations management and artificial intelligence. Dependent function is the core of extension set. In this paper, we construct the elementary dependent function on the single interval, i.e., the discussion field is the same as the positive one, and it includes finite and infinite ones, respectively. Some properties are also discussed. The proposed functions allow extension theory with a broader scope.
Innovation is more and more important for enterprises or most of organizations, but the results of many innovation activities are not satisfied. We find that the reason lies on insufficient knowledge management which can not supply systematic knowledge to support the requirement of innovation. Even worse the lacked knowledge is seldom been aware of. By studying on the Extension Theory (Extenics) and web intelligence, we proposed a novel knowledge management methodology called Intelligent Knowledge (IK) management. It can integrate knowledge from different sources such as human experience, the web or data base and construct a systematic knowledge map for product innovation. It gives a way to compensate the limitation of human knowledge and help people to find more ideas based on all-direction knowledge supported by information technology and Extenics. Its application in an electric company shows that IK-based product innovation is a useful model.
Extension theory are widely used in many fields such as machinery, manufacturing, meterials and automation. Dependent function is the core of extension set. On the basis of extension distance between the point and the infinite interval, we construct the formulas of location value and the corresponding elementary dependent function whose discussion field is an infinite interval and positive field finite, and get some properties. The proposed function allows extension theory in the areas of materials science and engineering science with a broader scope.
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