Fuzzy Lattice Order Group Decision for Preference Ranking in Conflict Analysis

2020 ◽  
Vol 16 (4) ◽  
pp. 161-183
Author(s):  
Wenyi Wang ◽  
Qiang Guo ◽  
Shunhong Wang
Keyword(s):  
Decision Making ◽  
Group Decision ◽  
Stable State ◽  
Conflict Analysis ◽  
Preference Ranking ◽  
Traditional Methods ◽  
Lattice Order ◽  
Multi Objective ◽  
Order Preference ◽  
Fuzzy Lattice

Methods of fuzzy multi-objective lattice order decision making (F-MOLODM) for analyses of the fuzzy and intransitive preferences of decision makers involved in a conflict analysis are devised for the preference ranking of the states in a conflict, which defines the trapezoidal fuzzy number of the preference and constructs a multi-objective group decision-making fuzzy preference matrix. An algorithm for F-LOGDM is proposed to capture uncertainty and intransitive decision problems, and the relationship among lattice elements of the preference structure under fuzzy environments is defined. The application of these decision technologies to the square dance conflict illustrate how the method proposed in this paper can be utilized in practice. The performance of the lattice order preference ranking method applied to the conflict is compared with that of traditional methods. Research shows that either lattice order preference ranking, or traditional methods acquires Nash stability. However, the stable state under traditional methods will be reached only if all players pay a certain price.

Multi-Attribute Group Decision Making Method for Preference Conflicting with Heterogeneous Information

2018 ◽  
Vol 7 (4) ◽  
pp. 1-14 ◽  
Author(s):  
Kai-Rong Liang
Keyword(s):  
Decision Making ◽  
Objective Function ◽  
Group Decision Making ◽  
Group Decision ◽  
Decision Makers ◽  
Heterogeneous Information ◽  
Multi Objective ◽  
Attribute Weights ◽  
Relative Closeness ◽  
Decision Making Model

The aim of this article is to propose a multi-objective decision-making method for researching and solving multi-attribute heterogeneous group decision-making problems. This is in the case that the characters of the decision information and decision makers' preferences are heterogeneous, and the weight information is incomplete. In this method, the multi-objective decision-making model, which considers the alternatives decision relative closeness and the preference of heterogeneous degree of decision makers in the objective function, is put forward. In addition, this article uses the minimax method to derive the multi-objective decision-making model and obtain the attribute weights and decision makers weights, and then the optimal scheme is established. Finally, an illustrative example shows the effectiveness of the proposed method.

VPRS-Based Group Decision-Making for Risk Response in Petroleum Investment

2013 ◽  
pp. 286-295
Author(s):  
Gang Xie ◽  
Wuyi Yue ◽  
Shouyang Wang
Keyword(s):  
Decision Making ◽  
Group Decision Making ◽  
Group Decision ◽  
Project Investment ◽  
Risk Response ◽  
Multi Objective ◽  
Multi Objective Programming ◽  
Risk Indices ◽  
Multiple Risks ◽  
Future Work

From the perspective of risk response in petroleum project investment, the authors use a group decision-making (GDM) approach based on a variable precision rough set (VPRS) model for risk knowledge discovery, where experts were invited to identify risk indices and evaluate risk exposure (RE) of individual projects. First, the approach of VPRS-based GDM is introduced. Next, while considering multiple risks in petroleum project investment, the authors use multi-objective programming to obtain the optimal selection of project portfolio with minimum RE, where the significance of risk indices is assigned to each of corresponding multi-objective functions as a weight. Then, a numerical example on a Chinese petroleum company’s investments in overseas projects is presented to illustrate the proposed approach, and some important issues are analyzed. Finally, conclusions are drawn and some topics for future work are suggested.

scholarly journals NEW GROUP DECISION MAKING METHOD IN INTUITIONISTIC FUZZY SETTING BASED ON TOPSIS

2015 ◽  
Vol 23 (3) ◽  
pp. 441-461 ◽  
Author(s):  
Wei YANG ◽  
Zhiping CHEN ◽  
Fang ZHANG
Keyword(s):  
Decision Making ◽  
Group Decision Making ◽  
Group Decision ◽  
Attribute Weights ◽  
Intuitionistic Fuzzy ◽  
Multiple Attribute ◽  
Order Preference ◽  
Topsis Technique ◽  
Fuzzy Group Decision Making ◽  
Fuzzy Setting

In multiple attribute group decision making, the weights of decision makers are very crucial to ranking results and have gained more and more attentions. A new approach to determining experts’ weights is proposed based on the TOPSIS (Technique for Order Preference by Similarity to an Ideal Solution) method in intuitionistic fuzzy setting. The weights determined by our method have two advantages: the evaluation value has a large weight if it is close to the positive ideal evaluation value and far from negative ideal evaluation values at the same time, otherwise it is assigned a small weight; experts have different weights for different attributes, which are more appropriate for real decision making problems since each expert has his/her own knowledge and expertise. The multiple attribute intuitionistic fuzzy group decision making algorithm has been proposed which is suitable for different situations about the attribute weight information, including the attribute weights are known exactly, partly known and unknown completely. A supplier selection problem and the evaluation of murals in a metro line are finally used to illustrate the feasibility, efficiency and practical advantages of the developed approaches.

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