A method based on linguistic aggregation operators for group decision making with linguistic preference relations*1

2004 ◽  
Vol 166 (1-4) ◽  
pp. 19-30 ◽  
Author(s):  
Z XU
Keyword(s):  
Decision Making ◽  
Group Decision Making ◽  
Group Decision ◽  
Aggregation Operators ◽  
Preference Relations

INTUITIONISTIC FUZZY DENSITY-BASED AGGREGATION OPERATORS AND THEIR APPLICATIONS TO GROUP DECISION MAKING WITH INTUITIONISTIC PREFERENCE RELATIONS

2014 ◽  
Vol 22 (01) ◽  
pp. 145-169 ◽  
Author(s):  
HUA ZHAO ◽  
ZESHUI XU ◽  
ZEQING YAO
Keyword(s):  
Decision Making ◽  
Group Decision Making ◽  
Group Decision ◽  
Aggregation Operators ◽  
Fuzzy Information ◽  
Information Distribution ◽  
Preference Relations ◽  
Intuitionistic Fuzzy ◽  
Fuzzy Aggregation

In fuzzy environments, some operators have been developed for aggregating intuitionistic fuzzy information which is expressed in pairs of the membership degrees and the non-membership degrees. However, the existing intuitionistic fuzzy aggregation operators cannot consider and reflect the density of intuitionistic fuzzy information distribution. To solve the issue, in this paper, we first develop some intuitionistic fuzzy density-based aggregation operators. Then by combining the developed operators with the existing intuitionistic fuzzy aggregation operators, we put forward some synthesized intuitionistic fuzzy aggregation operators. Furthermore, we utilize the synthesized intuitionistic fuzzy aggregation operators to develop an approach to group decision making based on intuitionistic preference relations, and illustrate our approach with a practical example of the evaluation of new medicines.

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.

Sign in / Sign up

Export Citation Format

Share Document