Journal
EXPERT SYSTEMS WITH APPLICATIONS
Volume 41, Issue 15, Pages 6718-6727Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.eswa.2014.04.046
Keywords
Decision analysis; Multiple-attribute decision making; Evidential reasoning approach; Integrated decision; Cardinal and ordinal preferences
Categories
Funding
- Research Grants Council of the Hong Kong Special Administrative Region, China, [CityU 112111]
- National Natural Science Foundation of China [71201043, 71131002, 70925004]
- National Key Basic Research Program of China [2013CB329603]
- Humanities and Social Science Foundation of Ministry of Education in China [12YJC630046]
- Natural Science Foundation of Anhui Province of China [1208085QG130]
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A combination of cardinal and ordinal preferences in multiple-attribute decision making (MADM) demonstrates more reliability and flexibility compared with sole cardinal or ordinal preferences derived from a decision maker. This situation occurs particularly when the knowledge and experience of the decision maker, as well as the data regarding specific alternatives on certain attributes, are insufficient or incomplete. This paper proposes an integrated evidential reasoning (IER) approach to analyze uncertain MADM problems in the presence of cardinal and ordinal preferences. The decision maker provides complete or incomplete cardinal and ordinal preferences of each alternative on each attribute. Ordinal preferences are expressed as unknown distributed assessment vectors and integrated with cardinal preferences to form aggregated preferences of alternatives. Three optimization models considering cardinal and ordinal preferences are constructed to determine the minimum and maximum minimal satisfaction of alternatives, simultaneous maximum minimal satisfaction of alternatives, and simultaneous minimum minimal satisfaction of alternatives. The minimax regret rule, the maximax rule, and the maximin rule are employed respectively in the three models to generate three kinds of value functions of alternatives, which are aggregated to find solutions. The attribute weights in the three models can be precise or imprecise (i.e., characterized by six types of constraints). The IER approach is used to select the optimum software for product lifecycle management of a famous Chinese automobile manufacturing enterprise. (C) 2014 Elsevier Ltd. All rights reserved.
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