A Method to Solve Group Decision-Making Problem with Multi-granularity Linguistic Assessment Information

2007 ◽  
Author(s):  
Yang Liu ◽  
Zhi-Ping Fan
Keyword(s):  
Decision Making ◽  
Group Decision Making ◽  
Group Decision ◽  
Decision Making Problem ◽  
Linguistic Assessment ◽  
Linguistic Assessment Information

A Method of Multi-Attribute Group Decision-Making Based on LWD and LOWA Operator

2011 ◽  
Vol 58-60 ◽  
pp. 1130-1135
Author(s):  
Shi Jun Zhang ◽  
Yuan Cai
Keyword(s):  
Decision Making ◽  
Natural Language ◽  
Decision Maker ◽  
Group Decision Making ◽  
Group Decision ◽  
Language Assessment ◽  
New Method ◽  
Group Assessment ◽  
Linguistic Assessment ◽  
Linguistic Assessment Information

A new method was proposed to solve multi-attribute group decision-making problems with natural language assessment information. In this method, firstly the linguistic assessment information given by each decision maker was aggregated by LWD and LOWA operators in order to obtain the group assessment information. Then, the preferred scheme is obtained from the result of aggregation. Finally, a simulation example was given to illustrate the validity of this approach.

SOME HARMONIC AGGREGATION OPERATORS WITH 2-TUPLE LINGUISTIC ASSESSMENT INFORMATION AND THEIR APPLICATION TO MULTIPLE ATTRIBUTE GROUP DECISION MAKING

2011 ◽  
Vol 19 (06) ◽  
pp. 977-998 ◽  
Author(s):  
G. W. WEI
Keyword(s):  
Decision Making ◽  
Decision Analysis ◽  
Group Decision Making ◽  
Group Decision ◽  
Aggregation Operators ◽  
Linguistic Information ◽  
Multiple Attribute ◽  
Linguistic Assessment ◽  
Linguistic Assessment Information ◽  
Selection Of

With respect to multiple attribute group decision making problems with linguistic information of attribute values, a group decision analysis is proposed. Some new aggregation operators are proposed: the 2-tuple linguistic weighted harmonic averaging (TWHA), 2-tuple linguistic ordered weighted harmonic averaging (TOWHA) and 2-tuple linguistic combined weighted harmonic averaging (TCWHA) operator and properties of the operators are analyzed. Then, a method based on the TWHA and TCWHA operators for multiple attribute group decision making is presented. In this approach, alternative appraisal values are calculated by the aggregation of 2-tuple linguistic information. Thus, the ranking of alternative or selection of the most desirable alternative(s) is obtained by the comparison of 2-tuple linguistic information. Finally, a numerical example is used to illustrate the applicability and effectiveness of the proposed method.

An Interactive Signed Distance Approach for Multiple Criteria Group Decision-Making Based on Simple Additive Weighting Method with Incomplete Preference Information Defined by Interval Type-2 Fuzzy Sets

2014 ◽  
Vol 13 (05) ◽  
pp. 979-1012 ◽  
Author(s):  
Ting-Yu Chen
Keyword(s):  
Decision Making ◽  
Group Decision Making ◽  
Group Decision ◽  
Preference Information ◽  
Incomplete Preference ◽  
Signed Distance ◽  
Decision Making Problem ◽  
Simple Additive Weighting ◽  
Interval Type

Interval type-2 fuzzy sets (T2FSs) with interval membership grades are suitable for dealing with imprecision or uncertainties in many real-world problems. In the Interval type-2 fuzzy context, the aim of this paper is to develop an interactive signed distance-based simple additive weighting (SAW) method for solving multiple criteria group decision-making problems with linguistic ratings and incomplete preference information. This paper first formulates a group decision-making problem with uncertain linguistic variables and their transformation to interval type-2 trapezoidal fuzzy numbers. Concerning the relative importance of multiple decision-makers and group consensus of fuzzy opinions, a procedure using hybrid averages is then employed to construct a collective decision matrix. By an appropriate extension of the classical SAW approach, this paper utilizes the concept of signed distances and establishes an integrated programming model to manage multi-criteria group decisions under the incomplete and inconsistent preference structure. Further, an interactive procedure is established for group decision making. Finally, the feasibility and effectiveness of the proposed methods are illustrated by a collaborative decision-making problem of patient-centered care (PCC).

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