Decision support system

Decision problem

Perspective (graphical)

Mathematical economics

Evidential reasoning approach

Decision theory

Mathematics

Decision model

Algorithm

Data mining

Statistics

Machine learning

Artificial intelligence

Decision analysis

Computer science

Preference

Fuzzy logic

Business decision mapping

IEEE Transactions on Fuzzy Systems

The existing three-way decision (TWD)-making methods cannot effectively handle incomplete multiattribute decision-making (MADM) problems in real life; it is necessary to explore an effective three-way MADM model in incomplete fuzzy decision systems (IFDSs). First, we consider the preference of decision makers for each alternative and introduce the concept of predecisions, thus an IFDS is obtained. Then, the weighted conditional probabilities are calculated with the aid of the defined similarity relation. Subsequently, we introduce the notion of relative utility functions and then present an approach to determine the relative utility function values. Afterward, we construct a TWD model in IFDSs and apply it to the modeling of incomplete MADM (IMADM) problems. Our study not only enriches TWD and MADM theories but also provides a new perspective for realistic IMADM problems. At last, the results of comparative and experimental analyses demonstrate the validity, stability, and superiority of our proposed model.

A Novel Three-Way Decision Model Based on Utility Theory in Incomplete Fuzzy Decision Systems