Journal
IEEE TRANSACTIONS ON FUZZY SYSTEMS
Volume 30, Issue 7, Pages 2210-2226Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TFUZZ.2021.3078012
Keywords
Decision making; Probability; Computational modeling; Analytical models; Mathematical model; Utility theory; Loss measurement; Incomplete fuzzy decision system (IFDS); multiattribute decision-making (MADM); relative utility function; three-way decision (TWD); weighted conditional probability
Funding
- National Natural Science Foundation of China [61866011, 11961025]
- Graduate Innovative Education Foundation of Hubei Minzu University [MYK2020016]
- NNSFC [61976120]
- Natural Science Foundation of Jiangsu Province [BK20191445]
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The article explores how to handle incomplete multiattribute decision-making problems in incomplete fuzzy decision systems. It introduces an effective three-way MADM model and applies it to the modeling of real-life incomplete multiattribute decision-making problems.
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.
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