Logarithmic least squares method to priority for group decision making with incomplete fuzzy preference relations
The aim of this paper is to present a logarithmic least squares method (LLSM) to priority for group decision making with incomplete fuzzy preference relations. We give a reasonable definition of multiplicative consistent for incomplete fuzzy preference relation. We develop the acceptable fuzzy consi...
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| Veröffentlicht in: | Applied mathematical modelling 2013-02, Vol.37 (4), p.2139-2152 |
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| container_title | Applied mathematical modelling |
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| creator | Xu, Yejun Patnayakuni, Ravi Wang, Huimin |
| description | The aim of this paper is to present a logarithmic least squares method (LLSM) to priority for group decision making with incomplete fuzzy preference relations. We give a reasonable definition of multiplicative consistent for incomplete fuzzy preference relation. We develop the acceptable fuzzy consistency ratio (FCR for short), which is simple and similar to Saaty’s consistency ratio CR for multiplicative fuzzy preference relations. We also extend the LLSM method to the case of individual preference relation with complete information. Finally, some examples are illustrated to show that our method is simple, efficient, and can be performed on computer easily. |
| doi_str_mv | 10.1016/j.apm.2012.05.010 |
| format | Article |
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| source | Elsevier ScienceDirect Journals; Elektronische Zeitschriftenbibliothek - Frei zugängliche E-Journals |
| subjects | Consistency Decision making Fuzzy Fuzzy logic Fuzzy set theory Group decision making Incomplete fuzzy preference relation Least squares method Logarithmic least squares method Mathematical models Multiplicative consistency Priorities |
| title | Logarithmic least squares method to priority for group decision making with incomplete fuzzy preference relations |
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