Based on a group of axioms, a measure of information discrepancyamong multiple information sources has been introduced in and it possesses some peculiar properties compared with other measures of information discrepa...Based on a group of axioms, a measure of information discrepancyamong multiple information sources has been introduced in and it possesses some peculiar properties compared with other measures of information discrepancy, so it can be used in some areas, where the traditional measures are not valid or not efficient, for example, in the study of DNA sequence comparison, prediction of protein structure class, evidence analysis, questionnaire analysis, and so on. In this paper, using the optimization techniques, we prove that it is a distance function and show that it is also an approximation of χ2 function. These two properties will stimulate further applications of the measure to information processing and system analysis.展开更多
基金Thiswork issupported by National Natural Science Foundation of China(90 10 30 33,39830 0 70 ) andNKBRSF (G19980 30 60 )
文摘Based on a group of axioms, a measure of information discrepancyamong multiple information sources has been introduced in and it possesses some peculiar properties compared with other measures of information discrepancy, so it can be used in some areas, where the traditional measures are not valid or not efficient, for example, in the study of DNA sequence comparison, prediction of protein structure class, evidence analysis, questionnaire analysis, and so on. In this paper, using the optimization techniques, we prove that it is a distance function and show that it is also an approximation of χ2 function. These two properties will stimulate further applications of the measure to information processing and system analysis.
