Measure of information content of basic belief assignments. (English) Zbl 1522.68562
Le Hégarat-Mascle, Sylvie (ed.) et al., Belief functions: theory and applications. 7th international conference, BELIEF 2022, Paris, France, October 26–28, 2022. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 13506, 119-128 (2022).
Summary: In this paper, we present a measure of Information Content (IC) of Basic Belief Assignments (BBAs), and we show how it can be easily calculated. This new IC measure is interpreted as the dual of the effective measure of uncertainty (i.e. generalized entropy) of BBAs developed recently.
For the entire collection see [Zbl 1511.68018].
For the entire collection see [Zbl 1511.68018].
MSC:
| 68T37 | Reasoning under uncertainty in the context of artificial intelligence |
| 94A17 | Measures of information, entropy |
References:
| [1] | Bovee, M.; Srivastava, RS, A conceptual framework and belief-function approach to assessing overall information quality, Int. J. Intell. Syst., 18, 1, 51-74 (2003) · Zbl 1026.68151 · doi:10.1002/int.10074 |
| [2] | Floridi, L.; Illari, P., The Philosophy of Information Quality (2014), Switzerland: Springer International Publishing, Switzerland · Zbl 1310.03025 |
| [3] | Batini, C.; Scannapieco, M., Data and Information Quality: Dimensions, Principles and Techniques (2016), Switzerland: Springer International Publishing, Switzerland · doi:10.1007/978-3-319-24106-7 |
| [4] | Kenett, RS; Shmueli, G., Information Quality (2017), Hoboken: Wiley & Sons, Hoboken |
| [5] | Bossé, E.; Rogova, GL, Information Quality in Information Fusion and Decision Making, Information Fusion and Data Science (2019), Switzerland: Springer Nature, Switzerland · Zbl 1515.60018 |
| [6] | Bouhamed, SA; Kalle, IK; Yager, RR; Bossé, E.; Solaiman, B., An intelligent quality-based approach to fusing multi-source possibilistic information, Inf. Fusion, 55, 68-90 (2020) · doi:10.1016/j.inffus.2019.08.003 |
| [7] | Dezert, J.: An effective measure of uncertainty of basic belief assignments, fusion. In: 2022 International Conference, Linköping, Sweden, pp. 1-10 (2022) |
| [8] | Shafer, G., A Mathematical Theory of Evidence (1976), Princeton: Princeton University Press, Princeton · Zbl 0359.62002 · doi:10.1515/9780691214696 |
| [9] | Dezert, J., Tchamova A.: On effectiveness of measures of uncertainty of basic belief assignments. Inf. Secur. J.: Int. J. (ISIJ)52, 9-36 (2022) |
| [10] | Tribus, M.: Rational Descriptions, Decisions and Designs. Pergamon Press, New York, pp. 26-28 (1969) |
| [11] | Bradley, R.E., Petrilli, S.J., Sandifer, C.E.: L’Hôpital’s analyse des infiniments petits (An annoted translation with source material by Johann Bernoulli), Birkhäuser, p. 311 (2015) · Zbl 1327.01001 |
| [12] | Shannon, C.E.: A mathematical theory of communication. Bell Syst. Tech. J. 27, 379-423 & 623-656 (1948) · Zbl 1154.94303 |
| [13] | Klir, GJ, Principles of uncertainty: what are they? why do we need them?, Fuzzy Sets Syst., 74, 15-31 (1995) · doi:10.1016/0165-0114(95)00032-G |
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.
