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Some properties of linguistic preference relation and its ranking in group decision making

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Journal of Systems Engineering and Electronics 2010年第2期21卷 244-249页

作者： Yejun Xu Qingli Da Xinwang Liu Business School Hohai University Nanjing 210098 E R. China School of Economics and Management Southeast University Nanjing 210096 P. R. China

The group decision making problem with linguistic pref- erence relations is studied. The concept of additive consistent linguistic preference relation is defined, and then some properties of the additive consistent linguistic preference relation are studied. In order to rank the alternatives in the group decision making with the linguistic preference relations, the weighted average is first utilized to combine the group linguistic preference relations to one linguistic preference relation, and then the transformation function is proposed to transform the linguistic preference relation to the multiplicative preference relation, and thus the Saaty＇s eigenvec- tor method （EM） of multiplicative preference relation is utilized to rank the alternatives in group decision making with the linguistic preference relations. Finally, an illustrative numerical example is given to verify the proposed method. A comparative study to the linguistic ordered weighted averaging （LOWA） operator method is also demonstrated.

关键词： group decision making linguistic preference relations additive consistency rank.

Interactive group decision making procedure based on uncertain multiplicative linguistic preference relations

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Journal of Systems Engineering and Electronics 2010年第3期21卷 408-415页

作者： Zeshui Xu1,2,1.College of Economics and Management,Southeast University,Nanjing 210096,P.R.China 2.Institute of Sciences,University of Science and Technology of the PLA,Nanjing 210007,P.R.China College of Economics and Management Southeast University Nanjing 210096 P. R. China Institute of Sciences University of Science and Technology of the PLA Nanjing 210007 P. R. China

group decision making problems are investigated with uncertain multiplicative linguistic preference *** unbalanced multiplicative linguistic label set is introduced,which can be used by the experts to express their linguistic preference information over *** uncertain linguistic weighted geometric mean operator is utilized to aggregate all the individual uncertain multiplicative linguistic preference relations into a collective one,and then a simple approach is developed to determine the experts＇ weights by utilizing the consensus degrees among the individual uncertain multiplicative linguistic preference relations and the collective uncertain multiplicative linguistic preference ***,a practical interactive procedure for group decision making is proposed based on uncertain multiplicative linguistic preference relations,in which a possibility degree formula and a complementary matrix are used to rank the given ***,the proposed procedure is applied to solve the group decision making problem of a manufacturing company searching the best global supplier for one of its most critical parts used in assembling process.

关键词： group decision making uncertain multiplicative linguistic preference relations unbalanced multiplicative linguistic label set consensus degree interaction.

EXTENSION OF THE TOPSIS METHOD BASED ON PROSPECT THEORY AND TRAPEZOIDAL INTUITIONISTIC FUZZY NUMBERS FOR group decision making

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Journal of Systems Science and Systems Engineering 2014年第2期23卷 231-247页

作者： Xihua LI Xiaohong CHEN School of Business Central South University

Considering the decision maker＇s risk psychological factors and information ambiguity under uncertainty, a novel TOPSIS based on prospect theory （PT） and trapezoidal intuitionistic fuzzy numbers （YrIFNs） for group decision making is investigated, in which the criteria values and the criteria weights take the form of TrIFNs, and weights of decision makers are unknown. Firstly, distance measures for TrIFNs are used to induce value function under trapezoidal intuitionistic fuzzy environment. Secondly, the concepts of distance measures and trapezoidal intuitionistie fuzzy weighted averaging operator are employed to induce the weights of decision makers and thus the decision makers＇ options can be aggregated. Then the PT-based separation measures and relative closeness coefficient are defined and an algorithm for ranking alternatives under trapezoidal intuitionistic fuzzy environment is proposed. Finally, a numerical example further illustrates the practicality and effectiveness of the proposed TOPSIS method.

关键词： TOPSIS trapezoidal intuitionistic fuzzy numbers prospect theory group decision making distance measures

Network selection based on multiple attribute decision making and group decision making for heterogeneous wireless networks

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The Journal of China Universities of Posts and Telecommunications 2012年第5期19卷 92-98,114页

作者： SHI Zheng ZHU Qi Jiangsu Key Laboratory of Wireless Communications Nanjing University of Posts and Telecommunications Nanjing 210003 China Key Laboratory on Wideband Wireless Communications and Sensor Network Technology Ministry of Education Nanjing University of Posts and Telecommunications Nanjing 210003 China

One of the key issues for radio resources management is network selection strategy in heterogeneous scenarios. In order to provide ubiquitous service, the paper puts forward a network selection algorithm based on multiple attribute decision making （MADM） and group decision making （GDM）. Firstly, the proposed algorithm acquires attribute weights＇ vectors of the subjective and objective decision makers based on MADM, and then the two attribute weights＇ vectors are synthesized to be a new attribute weights＇ vector by using GDM. Considering that the results of GDM should be reasonable and convincible, the criterion of consistency is adopted for judging the compatibility of group judgments. More specit]cally, the algorithm takes into account not only objective attributes of networks but also the preference of subscribers and traft]c class Hence it guarantees that the subscribers can not select the networks with poor performance depending on their preference. The simulation results show that the proposed algorithm can effectively reduce the handoff number and provide subscribers with satisfactory quality of service （QoS）.

关键词： heterogeneous wireless networks group decision making compatibility criterion analytic hierarchy process entropy method

A General Jury Theorem on group decision making

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Journal of the Operations Research Society of China 2021年第4期9卷 869-881页

作者： Yu-Da Hu School of Mathematical Sciences Shanghai Jiaotong UniversityShanghai 200240China

This paper established a general jury theorem on group decision making where the probabilities of the individuals in making correct choice between two alternatives can be *** we proved that the higher the probability of any decision maker in the group correctly choosing between two alternatives,the higher the probability of the group correctly choosing the same two *** general jury theorem also indicates that given two groups of individuals with the same average probability of making the correct choice,the one with a more varied or diverse distribution of probabilities will have a higher probability of making the correct *** particular,we proved that as the number of decision makers in the group increases to infinity,this probability tends to the limit *** general jury theorem presented in this paper substantially generalizes the well-known Condorcet jury theorem in the group decision making theory,which has not been generalized for 200 years until now.

关键词： group decision making Preference relation Condorcet jury theorem Probability

A Dynamic Emergency decision-making Method Based on group decision making with Uncertainty Information

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International Journal of Disaster Risk Science 2020年第5期11卷 667-679页

作者： Jing Zheng Yingming Wang Kai Zhang Juan Liang College of Electronics and Information Science Fujian Jiangxia UniversityFuzhou 350108China Institute of decision Science Fuzhou UniversityFuzhou 350116China Key Laboratory of Spatial Data Mining and Information Sharing of Ministry of Education Fuzhou UniversityFuzhou 350116China Department of Information Engineering Fujian Chuanzheng Communications CollegeFuzhou 350007China College of Business Administration Fujian Jiangxia UniversityFuzhou 35010&China

In emergency decision making(EDM),it is necessary to generate an effective alternative ***-based reasoning(CBR)has been applied to EDM;however,choosing the most suitable case from a set of similar cases after case retrieval remains *** study proposes a dynamic method based on case retrieval and group decision making(GDM),called dynamic casebased reasoning group decision making(CBRGDM),for emergency alternative *** the proposed method,first,similar historical cases are identified through case similarity ***,evaluation information provided by group decision makers for similar cases is aggregated based on regret theory,and comprehensive perceived utilities for the similar cases are ***,the most suitable historical case is obtained from the case similarities and the comprehensive perceived utilities for similar historical *** method is then applied to an example of a gas explosion in a coal company in *** results show that the proposed method is feasible and effective in *** advantages of the proposed method are verified based on comparisons with existing *** particular,dynamic CBRGDM can adjust the emergency alternative according to changing *** results of application of dynamic CBRGDM to a gas explosion and comparison with existing methods verify its feasibility and practicability.

关键词： Case-based reasoning Dynamic emergency decision making group decision making Intervalvalued Pythagorean fuzzy linguistic variable(IVPFLV)Regret theory

A Novel Dependent Aggregation Approach for Intuitionistic Uncertain Linguistic Multiple Attribute group decision making

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Wuhan University Journal of Natural Sciences 2020年第6期25卷 510-520页

作者： PENG Bo GU Fengjuan School of Management Nanchang UniversityNanchang 330031JiangxiChina College of Computer and Information Zhejiang Wanli UniversityNingbo 315100ZhejiangChina

The multiple attribute group decision making problem in which the input arguments take the form of intuitionistic uncertain linguistic information is studied in the *** on the operational principles of intuitionistic uncertain linguistic variables and the concept of the expected value and accuracy function,some new dependent aggregation operators with intuitionistic uncertain linguistic information including the dependent intuitionistic uncertain linguistic ordered weighted average(DIULOWA)operator,the dependent intuitionistic uncertain linguistic ordered weighted geometric(DIULOWG)operator,the generalized dependent intuitionistic uncertain linguistic ordered weighted aggregation(GDIULOWA)operator and so on are developed,in which the associated weights only depend on the aggregated ***,we study some desirable properties of the aggregation ***,the approach of multiple attribute group decision making with intuitionistic uncertain linguistic information based on the developed operators is ***,an illustrative numerical example is given to show the practicality and effectiveness of the proposed approaches.

关键词： group decision making intuitionistic uncertain linguistic variable dependent intuitionistic uncertain linguistic ordered weighted average operator dependent intuitionistic uncertain linguistic ordered weighted geometric operator

Linguistic neutrosophic matrix energy and its application in multiple criteria group decision-making

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Journal of Management Analytics 2023年第3期10卷 477-492页

作者： Rui Yong Shigui Du Jun Ye School of Civil and Environmental Engineering Ningbo UniversityNingboPeople’s Republic of China

Matrix energy is an important representation tool of collective ***,it is not applied to various fuzzy and linguistic *** compensate for this gap,this article aims to extend the matrix energy to propose the energy of a linguistic neutrosophic matrix(LNM)for solving a multiple criteria group decision-making(MCGDM)problem,which fully contains LNMs of decisionmaker weights,criteria weights,and alternative *** realize the objective,this study first presents the energy of LNM in view of the true matrix energy,the false matrix energy,and the indeterminate matrix ***,a MCGDM technique is established in view of the LNM energy method in a LNM ***,the developed MCGDM technique using the LNM energy is used to solve the hospital location choice problem in the full LNM ***,the decision results indicate the validity and usability of the established MCGDM technique.

关键词： linguistic neutrosophic matrix linguistic neutrosophic matrix energy linguistic neutrosophic weight group decision making

Study on Concept of Centralization and Decentralization group decision making

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Systems Science and Systems Engineering 2002年第3期11卷 280-289页

作者： ZHANG Qin-sheng1, XI You-min2, WANG Ying-luo21.Management School, Ocean University of Qingdao, Qingdao 266071, China2.Management School, Xi′an Jiaotong University, Xi′an 710049, China Management School Ocean University of Qingdao Qingdao 266071 China Management School Xi'an Jiaotong University Xi'an 710049 China

The paper extracts the concept of Centralization group decision making(CGDM) and Decentralization group decision making(DGDM) from management systems on bases of studies on Informational Centralization Process(ICP) and Informational Decentralization Process(IDP), then the similarities and differences between CGDM and DGDM are presented. Further, the taxonomy of CGDM and DGDM is researched.

关键词： group decision making informational centralization informational decentralization management mechanism design