and Bayesian networks are typical applications of subjective logic. Subjective trust networks Subjective trust networks can be modelled with a combination of the transitivity and fusion operators. Let express the referral trust edge from to , and let express the belief edge from to . A subjective trust network can for example be expressed as as illustrated in the figure below. The indices 1, 2 and 3 indicate the chronological order in which the trust edges and advices are formed. Thus, given the set of trust edges with index 1, the origin trustor receives advice from and , and is thereby able to derive belief in variable . By expressing each trust edge and belief edge as an opinion, it is possible for to derive belief in expressed as . Trust networks can express the reliability of information sources, and can be used to determine subjective opinions about variables that the sources provide information about. Evidence-based subjective logic (EBSL) describes an alternative trust-network computation, where the transitivity of opinions (discounting) is handled by applying weights to the evidence underlying the opinions. Subjective Bayesian networks In the Bayesian network below, and are parent variables and is the child variable. The analyst must learn the set of joint conditional opinions in order to apply the deduction operator and derive the marginal opinion on the variable . The conditional opinions express a conditional relationship between the parent variables and the child variable. The deduced opinion is computed as . The joint evidence opinion can be computed as the product of independent evidence opinions on and , or as the joint product of partially dependent evidence opinions. Subjective networks The combination of a subjective trust network and a subjective Bayesian network is a subjective network. The subjective trust network can be used to obtain from various sources the opinions to be used as input opinions to the subjective Bayesian network, as illustrated in the figure below. Traditional Bayesian network typically do not take into account the reliability of the sources. In subjective networks, the trust in sources is explicitly taken into account. References External links Subjective Logic by Audun Jøsang Subjective Logic Experimentation Framework based on Subjective Logic Operators in Trust Assessment: An Empirical Study by F. Cerutti, L. M. Kaplan, T. J. Norman, N. Oren, and A. Toniolo Bayesian statistics Non-classical logic