期刊
KNOWLEDGE-BASED SYSTEMS
卷 145, 期 -, 页码 67-76出版社
ELSEVIER SCIENCE BV
DOI: 10.1016/j.knosys.2018.01.001
关键词
Group decision making; Interval multiplicative reciprocal matrix; Approximate consistency; Inconsistency index; Permutations of alternatives
资金
- National Natural Science Foundation of China [71571054]
- Guangxi high school innovation team and outstanding scholars plan
- Guangxi Natural Science Foundation for Distinguished Young Scholars [2016GXNSFFA380004]
In order to cope with uncertainty experienced by decision makers, interval multiplicative reciprocal matrices are used to express judgments in the framework of the fuzzy analytic hierarchy process (FAHP). When considering the logical consistency of the judgments, it is important to study the consistency of interval multiplicative reciprocal matrices developed in the AHP. In this study, an inconsistency index is proposed to quantify the inconsistency degree of interval multiplicative reciprocal matrices. The concept of the approximate consistency is extended to study group decision making problems with interval multiplicative reciprocal matrices. A new aggregation operator is formed to combine individual matrices. By considering permutations of alternatives, the properties of the collective interval multiplicative reciprocal matrix are studied in detail. Numerical results are reported to show the applications of the proposed indexes to group decision making. The advantages of the proposed group decision making model together with the inconsistency indexes are involved of handling the uncertainty factor, the permutations of alternatives and the reciprocity exhibited in interval multiplicative reciprocal matrices. (C) 2018 Elsevier B.V. All rights reserved.
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