Journal
JOURNAL OF SYSTEMS ENGINEERING AND ELECTRONICS
Volume 21, Issue 3, Pages 408-415Publisher
SYSTEMS ENGINEERING & ELECTRONICS, EDITORIAL DEPT
DOI: 10.3969/j.issn.1004-4132.2010.03.010
Keywords
group decision making; uncertain multiplicative linguistic preference relations; unbalanced multiplicative linguistic label set; consensus degree; interaction
Categories
Funding
- National Natural Science Foundation of China [70571087]
- National Science Fund for Distinguished Young Scholars of China [70625005]
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Group decision making problems are investigated with uncertain multiplicative linguistic preference relations. An unbalanced multiplicative linguistic label set is introduced, which can be used by the experts to express their linguistic preference information over alternatives. The uncertain linguistic weighted geometric mean operator is utilized to aggregate all the individual uncertain multiplicative linguistic preference relations into a collective one, and then a simple approach is developed to determine the experts' weights by utilizing the consensus degrees among the individual uncertain multiplicative linguistic preference relations and the collective uncertain multiplicative linguistic preference relations. Furthermore, a practical interactive procedure for group decision making is proposed based on uncertain multiplicative linguistic preference relations, in which a possibility degree formula and a complementary matrix are used to rank the given alternatives. Finally, the proposed procedure is applied to solve the group decision making problem of a manufacturing company searching the best global supplier for one of its most critical parts used in assembling process.
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