Hesitant fuzzy linguistic linear programming technique for multidimensional analysis of preference for multi-attribute group decision making

2015 ◽  
Vol 7 (5) ◽  
pp. 845-855 ◽  
Author(s):  
Yejun Xu ◽  
Aiwen Xu ◽  
Huimin Wang
Keyword(s):  
Decision Making ◽  
Linear Programming ◽  
Group Decision Making ◽  
Group Decision ◽  
Multidimensional Analysis ◽  
Programming Technique ◽  
Fuzzy Linguistic ◽  
Linear Programming Technique

FUZZY LINMAP METHOD FOR MULTIATTRIBUTE GROUP DECISION MAKING WITH LINGUISTIC VARIABLES AND INCOMPLETE INFORMATION

2007 ◽  
Vol 15 (02) ◽  
pp. 153-173 ◽  
Author(s):  
DENG-FENG LI ◽  
TAO SUN
Keyword(s):  
Decision Making ◽  
Linear Programming ◽  
Group Decision Making ◽  
Group Decision ◽  
Programming Model ◽  
Implementation Process ◽  
Fuzzy Linear Programming ◽  
Multidimensional Analysis ◽  
Linguistic Variables ◽  
Programming Technique

The aim of this paper is to develop a fuzzy linear programming technique for multidimensional analysis of preference (FLINMAP) in multiattribute group decision making problems with linguistic variables and incomplete preference information. In this paper, linguistic variables are used to assess an alternative on qualitative attributes using fuzzy ratings corresponding to some triangular fuzzy numbers. Each alternative is assessed on the basis of its distance to a fuzzy positive ideal solution (FPIS) which is unknown a priori. The FPIS and the weights of attributes are calculated by constructing a new linear programming model based on the group consistency and inconsistency indices defined on the basis of preferences between alternatives given by the decision makers. The distance of each alternative to the FPIS can be calculated to determine the ranking order of all alternatives. The implementation process of this methodology is demonstrated with an example.

scholarly journals Hesitant Fuzzy 2-Dimension Linguistic Programming Technique for Multidimensional Analysis of Preference for Multicriteria Group Decision Making

Mathematics ◽  
2021 ◽  
Vol 9 (24) ◽  
pp. 3196
Author(s):  
Xiaoyue Liu ◽  
Dawei Ju
Keyword(s):  
Decision Making ◽  
Group Decision Making ◽  
Group Decision ◽  
Programming Model ◽  
Multidimensional Analysis ◽  
Programming Technique ◽  
Relative Closeness ◽  
Criteria Weights ◽  
Multicriteria Group Decision Making ◽  
The Individual

The hesitant fuzzy 2-dimension linguistic element (HF2DLE) allows decision makers to express the importance or reliability of each term included in a hesitant fuzzy linguistic element as a linguistic term. This paper investigates a programming technique for multidimensional analysis of preference for hesitant fuzzy 2-dimension linguistic multicriteria group decision making. Considering the flexibility of HF2DLEs in expressing hesitant qualitative preference information, we first adopt HF2DLEs to depict both the evaluation values of alternatives and the truth degrees of alternative comparisons. To calculate the relative closeness degrees (RCDs) of alternatives, the Euclidean distances between HF2DLEs are defined. Based on RCDs and preference relations on alternatives, the group consistency and inconsistency indices are constructed, and a bi-objective hesitant fuzzy 2-dimension linguistic programming model is established to derive the criteria weights and positive and negative ideal solutions. Since the objective functions and partial constraint coefficients of the established model are HF2DLEs, an effective solution is developed, through which the RCDs can be calculated to obtain the individual rankings of alternatives. Furthermore, a single-objective assignment model is constructed to determine the best alternative. Finally, a case study is conducted to illustrate the feasibility of the proposed method, and its effectiveness is demonstrated by comparison analyses.

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