Journal
INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE
Volume 45, Issue 3, Pages 625-636Publisher
TAYLOR & FRANCIS LTD
DOI: 10.1080/00207721.2012.724112
Keywords
linguistic preference relation; incomplete linguistic preference relation; multiplicative consistency; decision support system
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Funding
- National Natural Science Foundation of China [71071161, 61273209]
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The experts may have difficulty in expressing all their preferences over alternatives or criteria, and produce the incomplete linguistic preference relation. Consistency plays an important role in estimating unknown values from an incomplete linguistic preference relation. Many methods have been developed to obtain a complete linguistic preference relation based on additive consistency, but some unreasonable values may be produced in the estimation process. To overcome this issue, we propose a new characterisation about multiplicative consistency of the linguistic preference relation, present an algorithm to estimate missing values from an incomplete linguistic preference relation, and establish a decision support system for aiding the experts to complete their linguistic preference relations in a more consistent way. Some examples are also given to illustrate the proposed methods.
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