TY - GEN
T1 - Estimation of Possibility-Probability Distributions
AU - Mendis, Balapuwaduge Sumudu Udaya
AU - Gedeon, Tom D.
PY - 2010
Y1 - 2010
N2 - We demonstrate a theory for evaluating the likelihood of a probability by way of possibility distributions. This theory derives from the standard probability distribution theory by using the possibility to define an arbitrary function whose values are bounded by [0,1] that represents the confidence that one may have in the outcomes. In other words, when in classic probability theory the probability of an event is represented by an integral of the probability mass over this event, in possibility theory the probability of an event is the integral of the probability mass times the confidence function over the whole space. This theory is then extended in order to define a similar notion to probability distributions, namely Possibility-Probability distributions, which represent, as for probabilities, the possibilities of a calculated probability for a given fuzzy event. In this context, we aim to define an estimation method of such a Possibility-Probability distribution in the case of experimental samples and the corresponding distribution.
AB - We demonstrate a theory for evaluating the likelihood of a probability by way of possibility distributions. This theory derives from the standard probability distribution theory by using the possibility to define an arbitrary function whose values are bounded by [0,1] that represents the confidence that one may have in the outcomes. In other words, when in classic probability theory the probability of an event is represented by an integral of the probability mass over this event, in possibility theory the probability of an event is the integral of the probability mass times the confidence function over the whole space. This theory is then extended in order to define a similar notion to probability distributions, namely Possibility-Probability distributions, which represent, as for probabilities, the possibilities of a calculated probability for a given fuzzy event. In this context, we aim to define an estimation method of such a Possibility-Probability distribution in the case of experimental samples and the corresponding distribution.
KW - Possibility
KW - Possibility of Probability
KW - Probability
KW - Probability of Fuzzy Events
UR - http://www.scopus.com/inward/record.url?scp=84880498628&partnerID=8YFLogxK
U2 - 10.1007/978-3-642-14055-6_35
DO - 10.1007/978-3-642-14055-6_35
M3 - Conference contribution
SN - 9783642140549
T3 - Communications in Computer and Information Science
SP - 338
EP - 347
BT - Information Processing and Management of Uncertainty in Knowledge-Based Systems Theory and Methods
A2 - Hullermeier, Eyke
A2 - Kruse, Rudolf
A2 - Hoffmann, Frank
T2 - Information Processing and Management of Uncertainty in Knowledge-Based Systems: Theory and Methods, 13th International Conference, IPMU 2010, Proceedings
Y2 - 28 June 2010 through 2 July 2010
ER -