An uncertainty model for diagnostic expert system based on fuzzy algebras of strict monotonic operations

Expert knowledge in most of application domains is uncertain, incomplete and perception-based. For processing such expert knowledge an expert system should be able to represent and manipulate perception-based evaluations of uncertainties of facts and rules, to support multiple-valuedness of variables, and to make conclusions with unknown values of variables. This paper describes an uncertainty model based on two algebras of conjunctive and disjunctive multi-sets used by the inference engine for processing perception-based evaluations of uncertainties. ne discussion is illustrated by examples of the expert system, called SMART-Agua, which is aimed to diagnose and give solution to water production problems in petroleum wells.