Pardo, Leandro Order-\(\alpha\) weighted information energy. (English) Zbl 0629.94007 Inf. Sci. 40, 155-164 (1986). In this work an expression is given for the amount of information supplied by a probabilistic experiment whose elementary events are characterized by both their probabilities and some qualitative weights. This measure is called “order-\(\alpha\) weighted information energy”, and it is a generalization of the weighted information energy given by Theodorescu and studied extensively by the author. Some properties and an axiomatic treatment of the measure are given. Cited in 6 Documents MSC: 94A17 Measures of information, entropy 94A15 Information theory (general) Keywords:amount of information; probabilistic experiment; weighted information energy × Cite Format Result Cite Review PDF Full Text: DOI References: [1] Belis, M.; Guiasu, S., A quantitative-qualitative measure of information in cybernetic systems, IEEE Trans. Inform. Theory, IT-14, 593-594 (1968) [2] Dial, G.; Taneja, I. J., On weighted entropy of type (α,β) and its generalizations, Apl. Mat., 26, 418-425 (1981) · Zbl 0479.94010 [3] Emptoz, H., Information de type β intégrant un concept d’utilité, C.R. Acad. Sci. Paris Ser. A, 282, 911-914 (1976) · Zbl 0327.94021 [4] Guiasu, S., Information Theory with Applications (1977), McGraw-Hill: McGraw-Hill New York · Zbl 0379.94027 [5] Guiasu, S.; Theodorescu, R., Incertitude et Information (1971), Presses Univ. Laval: Presses Univ. Laval Québec · Zbl 0264.94012 [6] Onicescu, O., Energie informationnelle, C.R. Acad. Sci. Paris Ser. A, 263, 841-842 (1966) · Zbl 0143.41206 [7] Pardo, L., Energia informacional util, Trabajos Estadíst. Investigación Oper., XXXII, 85-94 (1981) · Zbl 0507.94007 [8] Theodorescu, A., Energie informationnelle et notions apparentes, Trabajos Estadíst. Investigación Oper., XXVIII, 183-206 (1977) · Zbl 0437.94001 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.