Journal
INTERNATIONAL JOURNAL OF INFORMATION TECHNOLOGY & DECISION MAKING
Volume 10, Issue 6, Pages 1043-1065Publisher
WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S0219622011004701
Keywords
Group decision making; interval reciprocal relation; incomplete interval reciprocal relation; perfect multiplicative consistent; multiplicative consistent
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Funding
- National Science Fund for Distinguished Young Scholars of China [70625005]
- National Natural Science Foundation of China [71071161]
- Program Sponsored for Scientific Innovation Research of College Graduate in Jiangsu Province [CX10B_059Z]
- Scientific Research Foundation of Graduate School of Southeast University
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Consistency plays an important part in decision making with interval reciprocal relation also called interval fuzzy preference relation. In this paper, we give the definition of perfect multiplicative consistent interval reciprocal relation and discuss its properties. A method is proposed to construct a set of multiplicative consistent reciprocal relations from a perfect consistent interval reciprocal relation. Then we develop methods to get the perfect multiplicative consistent interval reciprocal relation from the inconsistent one and estimate the missing values from an incomplete interval reciprocal relation. Finally, a group decision-making method is proposed based on perfect multiplicative consistent interval reciprocal relations. Some examples are also given to compare the proposed methods with the existing ones.
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