Group decision making methods of the incomplete IFPRs and IPRs
We propose optimal priority methods on the incomplete intuitionistic fuzzy preference relation (IFPR) and the incomplete interval preference relation (IPR). The least squares method has been used previously to derive the priority vector of the fuzzy preference relation (FPR). In this paper, we gener...
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2012-06-01
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doaj-ebb22d83fe634255b4e93647516ac3fe2020-11-25T03:07:56ZengAtlantis PressInternational Journal of Computational Intelligence Systems 1875-68832012-06-015310.1080/18756891.2012.696919Group decision making methods of the incomplete IFPRs and IPRsZaiwu GongChonglan GuoYuanyuan HeWe propose optimal priority methods on the incomplete intuitionistic fuzzy preference relation (IFPR) and the incomplete interval preference relation (IPR). The least squares method has been used previously to derive the priority vector of the fuzzy preference relation (FPR). In this paper, we generalize the least squares method to IFPR and IPR based on our proposed multiplicative consistent conditions. We also investigate the relationships between the optimal models of incomplete IFPRs, IPRs and FPRs. We also apply the same method to the case of collective judgment with complete information. We illustrate the feasibility and effectiveness of our proposed methods with three numerical examples.https://www.atlantis-press.com/article/25867991.pdfGroup decision-makingPreference relationLeast squares modelPriority |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Zaiwu Gong Chonglan Guo Yuanyuan He |
spellingShingle |
Zaiwu Gong Chonglan Guo Yuanyuan He Group decision making methods of the incomplete IFPRs and IPRs International Journal of Computational Intelligence Systems Group decision-making Preference relation Least squares model Priority |
author_facet |
Zaiwu Gong Chonglan Guo Yuanyuan He |
author_sort |
Zaiwu Gong |
title |
Group decision making methods of the incomplete IFPRs and IPRs |
title_short |
Group decision making methods of the incomplete IFPRs and IPRs |
title_full |
Group decision making methods of the incomplete IFPRs and IPRs |
title_fullStr |
Group decision making methods of the incomplete IFPRs and IPRs |
title_full_unstemmed |
Group decision making methods of the incomplete IFPRs and IPRs |
title_sort |
group decision making methods of the incomplete ifprs and iprs |
publisher |
Atlantis Press |
series |
International Journal of Computational Intelligence Systems |
issn |
1875-6883 |
publishDate |
2012-06-01 |
description |
We propose optimal priority methods on the incomplete intuitionistic fuzzy preference relation (IFPR) and the incomplete interval preference relation (IPR). The least squares method has been used previously to derive the priority vector of the fuzzy preference relation (FPR). In this paper, we generalize the least squares method to IFPR and IPR based on our proposed multiplicative consistent conditions. We also investigate the relationships between the optimal models of incomplete IFPRs, IPRs and FPRs. We also apply the same method to the case of collective judgment with complete information. We illustrate the feasibility and effectiveness of our proposed methods with three numerical examples. |
topic |
Group decision-making Preference relation Least squares model Priority |
url |
https://www.atlantis-press.com/article/25867991.pdf |
work_keys_str_mv |
AT zaiwugong groupdecisionmakingmethodsoftheincompleteifprsandiprs AT chonglanguo groupdecisionmakingmethodsoftheincompleteifprsandiprs AT yuanyuanhe groupdecisionmakingmethodsoftheincompleteifprsandiprs |
_version_ |
1724668298250944512 |