Nonadditive measures of average charge for heterogeneous questionnaires

Abstract

Mechanical and logical systems admit an ‘additivity’ law of measures. However in other systems, such as biological and social systems, this may not hold. A simple non-additive model based on λ -non-additivity is considered. We characterize average charge for heterogeneous questionnaires under λ -nonadditivity and show that there are only two forms of the measure of charge, one containing one parameter and the other two. Limiting and particular cases cover those studied earlier. The average charges are shown to be bounded below by two non-additive mean value entropies of order 1, type β and order α , type β respectively.