A Goal Programming Approach for Group Decision Making with Four Incomplete Preference Relations

2016 ◽  
Author(s):  
Ben Cheng ◽  
Shan Hu ◽  
Jiang-Wei Wang ◽  
Yun-Yuan Dong
Keyword(s):  
Decision Making ◽  
Group Decision Making ◽  
Goal Programming ◽  
Group Decision ◽  
Programming Approach ◽  
Preference Relations ◽  
Incomplete Preference ◽  
Incomplete Preference Relations

A GOAL PROGRAMMING APPROACH TO GROUP DECISION MAKING WITH INCOMPLETE FUZZY AND INTERVAL PREFERENCE RELATIONS

2012 ◽  
Vol 20 (03) ◽  
pp. 355-367
Author(s):  
JIANG JIANG ◽  
XUAN LI ◽  
YINGWU CHEN ◽  
DAWEI TANG
Keyword(s):  
Decision Making ◽  
Group Decision Making ◽  
Goal Programming ◽  
Group Decision ◽  
Programming Model ◽  
Decision Makers ◽  
Programming Approach ◽  
Interval Numbers ◽  
Preference Relations ◽  
Priority Vector

In order to solve group decision making (GDM) problems where the preference relations are provided by decision makers with incomplete fuzzy and interval numbers, this paper develops a GDM approach on the basis of multiple objective optimization and goal programming methods. The proposed approach first analyzes the two types of preference relations and then builds their respective optimization models. Subsequently, an integrated programming model combining the two preference relations is developed to minimize the inconsistency among the decision makers' opinions. By solving the programming model, the ranking of alternatives or selection of the most desirable alternative can be obtained using the intermediate priority vector. Two numerical examples including incomplete fuzzy and interval preference relations are examined to illustrate and show the applicability of the proposed approach.

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