A comparative study for consistency-based decision making with interval multiplicative preference relations |
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| Authors: | Fanyong Meng Jie Tang |
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| Affiliation: | 1. School of Information, Beijing Wuzi University, Beijing, People’s Republic of China;2. School of Business, Central South University, Changsha, People’s Republic of Chinamengfanyongtjie@163.com;4. School of Business, Central South University, Changsha, People’s Republic of China |
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| Abstract: | ABSTRACTTo ensure the reasonable application and perfect the theory of decision making with interval multiplicative preference relations (IMPRs), this paper continues to discuss decision making with IMPRs. After reviewing previous consistency concepts for IMPRs, we find that Krej?í’s consistency concept is more flexible and natural than others. However, it is insufficient to address IMPRs only using this concept. Considering this fact, this paper researches inconsistent and incomplete IMPRs that are usually encountered. First, programming models for addressing inconsistent and incomplete IMPRs are constructed. Then, this paper studies the consensus of individual IMPRs and defines a consensus index using the defined correlation coefficient. When the consensus requirement does not satisfy requirement, a programming model for improving consensus level is built, which can ensure the consistency. Subsequently, a procedure for group decision making with IMPRs is offered, and associated examples are provided to specifically show the application of main theoretical results. |
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| Keywords: | Group decision making IMPR consistency and consensus programming model correlation coefficient |
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