A group decision making with probability linguistic preference relations based on nonlinear optimization model and fuzzy cooperative games

2020 ◽  
Vol 19 (4) ◽  
pp. 499-528
Author(s):  
Pei Liang ◽  
Junhua Hu ◽  
Bo Li ◽  
Yongmei Liu ◽  
Xiaohong Chen
Keyword(s):  
Decision Making ◽  
Nonlinear Optimization ◽  
Group Decision Making ◽  
Optimization Model ◽  
Cooperative Games ◽  
Group Decision ◽  
Preference Relations

Expected consistency-based model and multiplicative DEA cross-efficiency for group decision-making with incomplete distribution linguistic preference relations

2021 ◽  
pp. 1-21
Author(s):  
Jinpei Liu ◽  
Longlong Shao ◽  
Ligang Zhou ◽  
Feifei Jin
Keyword(s):  
Decision Making ◽  
Group Decision Making ◽  
Optimization Model ◽  
Group Decision ◽  
Preference Relation ◽  
Preference Relations ◽  
Priority Vector ◽  
Linguistic Preference Relation ◽  
Multiplicative Preference Relations ◽  
High Consistency

Faced with complex decision problems, Distribution linguistic preference relation (DLPR) is an effective way for decision-makers (DMs) to express preference information. However, due to the complexity of the decision-making environment, DMs may not be able to provide complete linguistic distribution for all linguistic terms in DLPRs, which results in incomplete DLPRs. Therefore, in order to solve group decision-making (GDM) with incomplete DLPRs, this paper proposes expected consistency-based model and multiplicative DEA cross-efficiency. For a given incomplete DLPRs, we first propose an optimization model to obtain complete DLPR. This optimization model can evaluate the missing linguistic distribution and ensure that the obtained DLPR has a high consistency level. And then, we develop a transformation function that can transform DLPRs into multiplicative preference relations (MPRs). Furthermore, we design an improved multiplicative DEA model to obtain the priority vector of MPR for ranking all alternatives. Finally, a numerical example is provided to show the rationality and applicability of the proposed GDM method.

SOME ICOWA OPERATORS AND THEIR APPLICATIONS TO GROUP DECISION MAKING WITH INTERVAL FUZZY PREFERENCE RELATIONS

2013 ◽  
Vol 21 (04) ◽  
pp. 579-601 ◽  
Author(s):  
LIGANG ZHOU ◽  
ZHIFU TAO ◽  
HUAYOU CHEN ◽  
JINPEI LIU
Keyword(s):  
Decision Making ◽  
Group Decision Making ◽  
Optimization Model ◽  
Group Decision ◽  
Weighted Averaging ◽  
Preference Relations ◽  
Ordered Weighted Averaging ◽  
Cowa Operator ◽  
Fuzzy Preference Relations ◽  
Fuzzy Preference

We develop some new cases of the induced continuous ordered weighted averaging (ICOWA) operator and study their desirable properties, which are very suitable to deal with group decision making (GDM) with interval fuzzy preference relations. First, we present the consensus indicator ICOWA (CI-ICOWA) operator which uses the consensus indicator of the interval fuzzy preference as the order inducing variable in the ICOWA operator. Then the concept of compatibility degree (CD) for two interval fuzzy preference relations is defined based on the continuous ordered weighted averaging (COWA) operator and the compatibility degree ICOWA (CD-ICOWA) operator is proposed which uses the CD as the order inducing variable in the ICOWA operator. Next, we investigate some desirable properties of the CD-ICOWA operator. Additionally, we construct an optimization model to obtain the weights of experts by minimizing the compatibility degree in the GDM. Finally, an illustrative numerical example is used to verify the developed approaches.

Group decision making with fuzzy linguistic preference relations via cooperative games method

2015 ◽  
Vol 83 ◽  
pp. 184-192 ◽  
Author(s):  
Zhifu Tao ◽  
Xi Liu ◽  
Huayou Chen ◽  
Zhuqiang Chen
Keyword(s):  
Decision Making ◽  
Group Decision Making ◽  
Cooperative Games ◽  
Group Decision ◽  
Preference Relations ◽  
Fuzzy Linguistic

A New Model for Interactive Group Decision Making with Intuitionistic Fuzzy Preference Relations

Informatica ◽  
2016 ◽  
Vol 27 (4) ◽  
pp. 911-928 ◽  
Author(s):  
Shouzhen Zeng ◽  
Daniel Palacios-Marqués ◽  
Facang Zhu
Keyword(s):  
Decision Making ◽  
Group Decision Making ◽  
Group Decision ◽  
New Model ◽  
Preference Relations ◽  
Intuitionistic Fuzzy ◽  
Fuzzy Preference Relations ◽  
Fuzzy Preference
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