Details
| Original language | English |
|---|---|
| Title of host publication | Proceedings - 2010 IEEE International Conference on Granular Computing, GrC 2010 |
| Pages | 5-6 |
| Number of pages | 2 |
| Publication status | Published - 2010 |
| Externally published | Yes |
| Event | 2010 IEEE International Conference on Granular Computing, GrC 2010 - San Jose, CA, United States Duration: 14 Aug 2010 → 16 Aug 2010 |
Publication series
| Name | Proceedings - 2010 IEEE International Conference on Granular Computing, GrC 2010 |
|---|
Abstract
Fuzzy probability theory is an extension of probability theory to dealing with mixed probabilistic/non-probabilistic uncertainty. It provides a theoretical basis to model uncertainty which is only partly characterized by randomness and defies a pure probabilistic modeling with certainty due to a lack of trustworthiness or precision of the data or a lack of pertinent information. The fuzzy probabilistic model is settled between the probabilistic model and non-probabilistic uncertainty models. The significance of fuzzy probability theory lies in the treatment of the elements of a population not as crisp quantities but as set-valued quantities or granules in an imprecise manner, which largely complies with reality in most everyday situations. Probabilistic and non-probabilistic uncertainty and imprecision can so be transferred adequately and separately to the results of a subsequent analysis. This enables best case and worst case estimates in terms of probability taking account of variations within the inherent non-probabilistic uncertainty. The development of fuzzy probability theory was initiated by H. Kwakernaak with the introduction of fuzzy random variables in [15] in 1978. The usefulness of the theory has been underlined with various applications beyond mathematics and computer science. An increasing interest in fuzzy probabilities and related concepts has been developed, in particular, in engineering. In this summary, a general introduction to fuzzy probability theory is given. Detailed mathematical descriptions and discussions in an engineering context are provided in [1].
Keywords
- Fuzzy probabilities, Fuzzy random variables, Imprecise data, Imprecise probabilities
ASJC Scopus subject areas
- Computer Science(all)
- Computational Theory and Mathematics
- Computer Science(all)
- Computer Science Applications
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Proceedings - 2010 IEEE International Conference on Granular Computing, GrC 2010. 2010. p. 5-6 5576237 (Proceedings - 2010 IEEE International Conference on Granular Computing, GrC 2010).
Research output: Chapter in book/report/conference proceeding › Conference contribution › Research › peer review
}
TY - GEN
T1 - A summary on fuzzy probability theory
AU - Beer, Michael
PY - 2010
Y1 - 2010
N2 - Fuzzy probability theory is an extension of probability theory to dealing with mixed probabilistic/non-probabilistic uncertainty. It provides a theoretical basis to model uncertainty which is only partly characterized by randomness and defies a pure probabilistic modeling with certainty due to a lack of trustworthiness or precision of the data or a lack of pertinent information. The fuzzy probabilistic model is settled between the probabilistic model and non-probabilistic uncertainty models. The significance of fuzzy probability theory lies in the treatment of the elements of a population not as crisp quantities but as set-valued quantities or granules in an imprecise manner, which largely complies with reality in most everyday situations. Probabilistic and non-probabilistic uncertainty and imprecision can so be transferred adequately and separately to the results of a subsequent analysis. This enables best case and worst case estimates in terms of probability taking account of variations within the inherent non-probabilistic uncertainty. The development of fuzzy probability theory was initiated by H. Kwakernaak with the introduction of fuzzy random variables in [15] in 1978. The usefulness of the theory has been underlined with various applications beyond mathematics and computer science. An increasing interest in fuzzy probabilities and related concepts has been developed, in particular, in engineering. In this summary, a general introduction to fuzzy probability theory is given. Detailed mathematical descriptions and discussions in an engineering context are provided in [1].
AB - Fuzzy probability theory is an extension of probability theory to dealing with mixed probabilistic/non-probabilistic uncertainty. It provides a theoretical basis to model uncertainty which is only partly characterized by randomness and defies a pure probabilistic modeling with certainty due to a lack of trustworthiness or precision of the data or a lack of pertinent information. The fuzzy probabilistic model is settled between the probabilistic model and non-probabilistic uncertainty models. The significance of fuzzy probability theory lies in the treatment of the elements of a population not as crisp quantities but as set-valued quantities or granules in an imprecise manner, which largely complies with reality in most everyday situations. Probabilistic and non-probabilistic uncertainty and imprecision can so be transferred adequately and separately to the results of a subsequent analysis. This enables best case and worst case estimates in terms of probability taking account of variations within the inherent non-probabilistic uncertainty. The development of fuzzy probability theory was initiated by H. Kwakernaak with the introduction of fuzzy random variables in [15] in 1978. The usefulness of the theory has been underlined with various applications beyond mathematics and computer science. An increasing interest in fuzzy probabilities and related concepts has been developed, in particular, in engineering. In this summary, a general introduction to fuzzy probability theory is given. Detailed mathematical descriptions and discussions in an engineering context are provided in [1].
KW - Fuzzy probabilities
KW - Fuzzy random variables
KW - Imprecise data
KW - Imprecise probabilities
UR - http://www.scopus.com/inward/record.url?scp=77958614760&partnerID=8YFLogxK
U2 - 10.1109/GrC.2010.78
DO - 10.1109/GrC.2010.78
M3 - Conference contribution
AN - SCOPUS:77958614760
SN - 9780769541617
T3 - Proceedings - 2010 IEEE International Conference on Granular Computing, GrC 2010
SP - 5
EP - 6
BT - Proceedings - 2010 IEEE International Conference on Granular Computing, GrC 2010
T2 - 2010 IEEE International Conference on Granular Computing, GrC 2010
Y2 - 14 August 2010 through 16 August 2010
ER -