Fuzzy decision tables: extending the classical formalism to enhance intelligent decision making

In this paper different aspects of the decision table formalism are discussed. First crisp decision tables (DTs) are defined, and the construction and consultation of decision tables are described. Next, fuzzy extensions are made to crisp decision tables in order to deal with imprecision and uncertainty. As a result, with crisp DTs as special cases, a form of fuzzy decision tables (FDTs) is defined which include fuzziness in the conditions as well as in the actions. Consequently, the concept of completeness is introduced in the context of FDTs. Furthermore, fuzzy consultation of decision tables is discussed, which allows decision making with fuzziness based on the matching between fuzzy conditions and the concept of fuzzy logical implication