We introduce the concepts of information, uncertainty information, systems and uncertainty systems, analyze the intension of these concepts, and point out the differences and connections among various concepts of systems. We put forward a mathematical method to research uncertainty systems and present a problem that can be solved with our method but cannot be solved with the interval analyzing method. Otherwise, from analyzing the purpose of introducing the concepts of information, uncertainty information, systems and uncertainty systems, we conclude that uncertainty information and uncertainty systems are among the most important subjects studied in scientific research, especially in applied research, both that being presently conducted and the abundance which is to come in the future.
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