Nonnumeric belief structures

The nonnumeric belief, a counterpart of the belief function, is defined as the lower envelope of a family of incidence mappings (i.e., the nonnumeric counterpart of probability functions). Likewise, the nonnumeric conditional belief is defined as the lower envelope of a family of conditional inciden...

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Main Authors: Wong, S.K.M., Wang, L.S., Yao, Y.Y.
Format: Conference Proceeding
Language:English
Subjects:
Calculus
Closed-form solution
Computer science
Logic
Uncertainty
Upper bound
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Wang, L.S.
Yao, Y.Y.
description The nonnumeric belief, a counterpart of the belief function, is defined as the lower envelope of a family of incidence mappings (i.e., the nonnumeric counterpart of probability functions). Likewise, the nonnumeric conditional belief is defined as the lower envelope of a family of conditional incidence mappings. Such definitions are consistent with the corresponding definitions for belief functions. There exists a closed-form expression for the proposed conditional nonnumeric beliefs, which is useful in qualitative, nonmonotonic reasoning, and conditional logic.< >
doi_str_mv 10.1109/ICCI.1992.227656
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subjects Calculus
Closed-form solution
Computer science
Logic
Uncertainty
Upper bound
title Nonnumeric belief structures
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