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Unascertamed Information and Its Mathematical Treatment

Wang Guangyuan  
In this paper unasoertained information is defined as the information that must It is pointed out in this paper,that the unascertamty is a kind of weak uncertainty compared with randomness and fuzziness,which are two kinds of strong uncertainty.The weakness of unascertainty is presented in two aspects.First,if ascertainty is accompamed by randomness or fuzziness,it will be hidden or can be contained by them Second,if there is only unascertainty,it can be expressed by subjective probability distribution or subjective membership function That is to say,it can be described in the same manner as randomness or fuzziness.In this way,the mathematical treatment of unascertamed information is greatly simplified. Subjective probability distribution and subjective membership function can be unified by faith function.The way to obtain the faith function of unascertained information is also presented.In addition,the concept and definition of unascertained number are proposed in the paper.
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