Open AccessNote—Disutility as a Probability: An Interpretation of Weighted Informational Measures
Author(s) -
Henri Theil
Publication year - 1980
Publication title -
management science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 4.954
H-Index - 255
eISSN - 1526-5501
pISSN - 0025-1909
DOI - 10.1287/mnsc.26.12.1281
Subject(s) - measure (data warehouse) , interpretation (philosophy) , cybernetics , mathematical economics , probability measure , information theory , computer science , subjective expected utility , complete information , mathematics , econometrics , expected utility hypothesis , statistics , artificial intelligence , data mining , programming language
It is shown that the proposal for a utility-weighted informational measure discussed by Belis, and Guiasu (Belis, M., S. Guiasu. 1968. A quantitative-qualitative measure of information in cybernetic systems. IEEE Trans. Information Theory 14 593--594.) and others can be formulated in terms of classical (unweighted) information theory by interpreting utilities or disutilities as probabilities. Aggregation properties and extensions to prior and posterior probabilities are also discussed.entropy, information theory