Volume 11, Issue 11 pp. 879-891

Incorporating fuzziness in the classical decision table formalism

Jan Vanthienen

Corresponding Author

Jan Vanthienen

Katholieke Universiteit Lauven, Department of Applied Economic Sciences, Naamsestraat 69, B-3000 Leuven, Belgium

Katholieke Universiteit Lauven, Department of Applied Economic Sciences, Naamsestraat 69, B-3000 Leuven, BelgiumSearch for more papers by this author
Geert Wets

Geert Wets

Katholieke Universiteit Lauven, Department of Applied Economic Sciences, Naamsestraat 69, B-3000 Leuven, Belgium

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Guoqing Chen

Guoqing Chen

Tsinghua University, MIS Department, 100084 Beijing, China

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Abstract

In this article different aspects of the decision table formalism are discussed. First, crisp decision tables are defined and their construction is described. Next, fuzzy extensions are made to crisp decision tables in order to deal with imprecision and uncertainty. As a result, with crisp decision tables as special cases, a form of fuzzy decision tables 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 fuzzy decision tables. 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. © 1996 John Wiley & Sons, Inc.

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