Decision making with incomplete interval multiplicative preference relations based on stochastic program and interval category

2021 ◽  
Author(s):  
Shu-Ping Wan ◽  
Hu-Wei Yuan ◽  
Jiu-Ying Dong
Keyword(s):  
Decision Making ◽  
Stochastic Program ◽  
Preference Relations ◽  
Multiplicative 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.

scholarly journals On Incomplete Fuzzy and Multiplicative Preference Relations in Multi-Person Decision Making

2014 ◽  
Vol 31 ◽  
pp. 793-801 ◽  
Author(s):  
Raquel Ureña ◽  
Francisco Chiclana ◽  
Sergio Alonso ◽  
Juan Antonio Morente-Molinera ◽  
Enrique Herrera-Viedma
Keyword(s):  
Decision Making ◽  
Preference Relations ◽  
Multiplicative Preference Relations

scholarly journals Hesitant Probabilistic Multiplicative Preference Relations in Group Decision Making

2018 ◽  
Vol 8 (3) ◽  
pp. 398 ◽  
Author(s):  
Zia Bashir ◽  
Tabasam Rashid ◽  
Jarosław Wątróbski ◽  
Wojciech Sałabun ◽  
Abbas Malik
Keyword(s):  
Decision Making ◽  
Group Decision Making ◽  
Group Decision ◽  
Preference Relations ◽  
Multiplicative Preference Relations
Sign in / Sign up

Export Citation Format

Share Document