Research on Evaluating Theory and Application to Design of Mechanism Scheme with Uncertain Linguistic Information

2012 ◽  
Vol 201-202 ◽  
pp. 749-752
Author(s):  
Tie Jun Wang ◽  
Chang Zhong Hao
Keyword(s):  
Decision Making ◽  
Group Decision Making ◽  
Group Decision ◽  
Primary Phase ◽  
Harmonic Mean ◽  
Linguistic Variables ◽  
Product Lifecycle ◽  
Linguistic Information ◽  
Multiple Attribute ◽  
Magdm Problems

The design of mechanism scheme is the primary phase and the creative and challenging part in product lifecycle. In this paper, we research the multiple attribute group decision making (MAGDM) problems for evaluating the design of mechanism scheme with uncertain linguistic variables. We employ the uncertain linguistic weighted harmonic mean (ULWHM) operator to aggregate the uncertain linguistic information corresponding to each alternative and get the overall value of the alternatives, then rank the alternatives and select the most desirable one(s) by using the formula of the degree of possibility for the comparison between two uncertain linguistic variables. Finally, a practical example for evaluating the design of mechanism scheme is used to illustrate the developed procedures.

Model for Software Patterns Selection with Fuzzy Linguistic Information

2016 ◽  
Vol 13 (10) ◽  
pp. 7533-7537
Author(s):  
Zhi-Min Li ◽  
Yi-Ding Zhao
Keyword(s):  
Decision Making ◽  
Group Decision Making ◽  
Group Decision ◽  
Practical Method ◽  
Harmonic Mean ◽  
Linguistic Variables ◽  
Linguistic Information ◽  
Attribute Weights ◽  
Multiple Attribute ◽  
Fuzzy Linguistic

With respect to multiple attribute group decision making problem with triangular fuzzy linguistic information, in which the attribute weights and expert weights take the form of real numbers, and the preference values take the form of triangular fuzzy linguistic variables, some operators for aggregating triangular fuzzy linguistic variables, such as the fuzzy linguistic harmonic mean (FLHM) operator, fuzzy linguistic weighted harmonic mean (FLWHM) operator, fuzzy linguistic ordered weighted harmonic mean (FLOWHM) operator, and fuzzy linguistic hybrid harmonic mean (FLHHM) operator are proposed. Based on the FLWHM and FLHHM operators, a practical method is developed for group decision making with triangular fuzzy linguistic variables. Finally, an illustrative example about software patters selection is given to verify the developed approach.

scholarly journals Some Induced Correlated Aggregating Operators with Interval Grey Uncertain Linguistic Information and Their Application to Multiple Attribute Group Decision Making

2013 ◽  
Vol 2013 ◽  
pp. 1-11 ◽  
Author(s):  
Zu-Jun Ma ◽  
Nian Zhang ◽  
Ying Dai
Keyword(s):  
Decision Making ◽  
Group Decision Making ◽  
Group Decision ◽  
Choquet Integral ◽  
Linguistic Variables ◽  
Attribute Weights ◽  
Operation Rules ◽  
Multiple Attribute ◽  
Correlation Properties ◽  
Magdm Problems

We propose the interval grey uncertain linguistic correlated ordered arithmetic averaging (IGULCOA) operator and the induced interval grey uncertain linguistic correlated ordered arithmetic averaging (I-IGULCOA) operator based on the correlation properties of the Choquet integral and the interval grey uncertain linguistic variables to investigate the multiple attribute group decision making (MAGDM) problems, in which both the attribute weights and the expert weights are correlative. Firstly, the relative concepts of interval grey uncertain linguistic variables are defined and the operation rules between the two interval grey uncertain linguistic variables are established. Then, two new aggregation operators: the interval grey uncertain linguistic correlated ordered arithmetic averaging (IGULCOA) operator and the induced interval grey uncertain linguistic correlated ordered arithmetic averaging (I-IGULCOA) operator are developed and some desirable properties of the I-IGULCOA operator are studied, such as commutativity, idempotency, monotonicity, and boundness. Furthermore, the IGULCOA and I-IGULCOA operators based approach is developed to solve the MAGDM problems, in which both the attribute weights and the expert weights are correlative and the attribute values take the form of the interval grey uncertain linguistic variables. Finally, an illustrative example is given to verify the developed approach and to demonstrate its practicality and effectiveness.

Approaches to Multiple Attribute Group Decision Making Based on the DTOWHA Operator with 2-Tuple Linguistic Information

2016 ◽  
Vol 13 (10) ◽  
pp. 7314-7318
Author(s):  
Yan-Mei Wang
Keyword(s):  
Higher Education ◽  
Decision Making ◽  
Service Quality ◽  
Quality Assessment ◽  
Group Decision Making ◽  
Group Decision ◽  
Linguistic Information ◽  
Multiple Attribute ◽  
Magdm Problems

We investigate the multiple attribute group decision making (MAGDM) problems in which the attribute values take the form of 2-tuple linguistic information. In this paper, we develop the dependent 2-tuple ordered weighted harmonic averaging (DTOWHA) operator, and then apply the DTOWHA operator to develop some approaches for multiple attribute group decision making with 2-tuple linguistic information. Finally, an illustrative example for service quality assessment in special higher education is given to verify the developed approach and to demonstrate its practicality and effectiveness.

UNCERTAIN LINGUISTIC PRIORITIZED AGGREGATION OPERATORS AND THEIR APPLICATION TO MULTIPLE ATTRIBUTE GROUP DECISION MAKING

2013 ◽  
Vol 21 (04) ◽  
pp. 603-627 ◽  
Author(s):  
L. Y. ZHOU ◽  
R. LIN ◽  
X. F. ZHAO ◽  
G. W. WEI
Keyword(s):  
Decision Making ◽  
Group Decision Making ◽  
Group Decision ◽  
Aggregation Operators ◽  
Linguistic Information ◽  
Priority Level ◽  
Multiple Attribute ◽  
Prioritized Aggregation Operators ◽  
Magdm Problems

In this paper, we investigate the uncertain linguistic multiple attribute group decision making (MAGDM) problems in which the attributes and experts are in different priority level. Motivated by the idea of prioritized aggregation operators (R. R. Yager, Prioritized aggregation operators, Int. J. Approximate Reasoning48 (2008) 263–274.), we develop some prioritized aggregation operators for aggregating uncertain linguistic information, and then apply them to develops some models for uncertain linguistic multiple attribute group decision making (MAGDM) problems in which the attributes and experts are in different priority level. Finally, a practical example about talent introduction is given to verify the developed approach and to demonstrate its practicality and effectiveness.

Study on Evaluation of Technological SMEs’ Independent Innovation Capacity Based on the Interval Grey Uncertain Linguistic Variables

2016 ◽  
Vol 13 (10) ◽  
pp. 7336-7341
Author(s):  
Ji-Shu Shao ◽  
Zu-Wei Yu ◽  
Biao Zhang
Keyword(s):  
Decision Making ◽  
Group Decision Making ◽  
Group Decision ◽  
Linguistic Variables ◽  
Linguistic Information ◽  
Independent Innovation ◽  
Innovation Capacity ◽  
Multiple Attributes ◽  
Magdm Problems

In this paper, we investigate the multiple attributes group decision making (MAGDM) problems in which attribute values take the form of interval grey uncertain linguistic variables. Firstly, we develop the interval grey uncertain linguistic variables weighted geometric (IGULWG) operator, the interval grey uncertain linguistic variables ordered weighted geometric (IGULOWG) operator and the induced interval grey uncertain linguistic variables ordered weighted geometric (I-IGULOWG) operator and study some desirable properties of the I-IGULOWG operator. Furthermore, we apply the I-IGULOWG operator and the IGULWG operator to the group decision making with interval grey uncertain linguistic information. Finally, an illustrative example for evaluating the technological SMEs’ independent innovation capacity with interval grey uncertain linguistic information is given to verify the developed approach and to demonstrate its practicality and effectiveness.

Models for Multiple Attribute Group Decision Making Based on the Induced Fuzzy Linguistic Ordered Weighted Harmonic Mean Operator and Their Applications

2016 ◽  
Vol 13 (10) ◽  
pp. 7329-7332
Author(s):  
Hao Zhou ◽  
Tao Tao ◽  
Sheng Wang
Keyword(s):  
Decision Making ◽  
Group Decision Making ◽  
Group Decision ◽  
Practical Method ◽  
Harmonic Mean ◽  
Security Evaluation ◽  
Linguistic Variables ◽  
Multiple Attribute ◽  
Decision Making Problem ◽  
Fuzzy Linguistic

In this paper, we investigate the multiple attribute group decision making problem with triangular fuzzy linguistic information. We proposed the induced fuzzy linguistic ordered weighted harmonic mean (IFLOWHM) operator. A practical method based on the FLWHM and IFLOWHM operators is developed for multiple attribute group decision making with triangular fuzzy linguistic variables. Finally, an illustrative example for security evaluation of wireless sensor network is given to verify the developed approach.

scholarly journals Generalized Hamacher Aggregation Operators for Intuitionistic Uncertain Linguistic Sets: Multiple Attribute Group Decision Making Methods

Information ◽  
2019 ◽  
Vol 10 (6) ◽  
pp. 206 ◽  
Author(s):  
Yun Jin ◽  
Hecheng Wu ◽  
Jose M. Merigó ◽  
Bo Peng
Keyword(s):  
Decision Making ◽  
Group Decision Making ◽  
Group Decision ◽  
Weighted Average ◽  
Aggregation Operators ◽  
Linguistic Variables ◽  
Multiple Attribute ◽  
Special Cases ◽  
The Given ◽  
Magdm Problems

In this paper, we consider multiple attribute group decision making (MAGDM) problems in which the attribute values take the form of intuitionistic uncertain linguistic variables. Based on Hamacher operations, we developed several Hamacher aggregation operators, which generalize the arithmetic aggregation operators and geometric aggregation operators, and extend the algebraic aggregation operators and Einstein aggregation operators. A number of special cases for the two operators with respect to the parameters are discussed in detail. Also, we developed an intuitionistic uncertain linguistic generalized Hamacher hybrid weighted average operator to reflect the importance degrees of both the given intuitionistic uncertain linguistic variables and their ordered positions. Based on the generalized Hamacher aggregation operator, we propose a method for MAGDM for intuitionistic uncertain linguistic sets. Finally, a numerical example and comparative analysis with related decision making methods are provided to illustrate the practicality and feasibility of the proposed method.

scholarly journals AN APPROACH TO GROUP DECISION MAKING BASED ON 2-DIMENSION UNCERTAIN LINGUISTIC INFORMATION

2012 ◽  
Vol 18 (3) ◽  
pp. 424-437 ◽  
Author(s):  
Peide Liu
Keyword(s):  
Decision Making ◽  
Group Decision Making ◽  
Group Decision ◽  
Multiple Attribute Decision Making ◽  
Maximum Deviation ◽  
Linguistic Variables ◽  
Linguistic Information ◽  
Attribute Weights ◽  
Multiple Attribute ◽  
Evaluation Information

Based on the definition of 2-dimension linguistic information of multiple attribute decision making problems proposed by Zhu, Zhou and Yang (2009), the information on evaluation is extended to 2-dimension uncertain linguistic variables, and a new method is proposed to solve the multiple-attribute group decision making problems in which the attribute values take the form of 2-dimension uncertain linguistic variables and the attribute weights are unknown. Firstly, the II class of uncertain linguistic information is transformed into the subjective weights of the experts, and then the subjective weights, the similarity degree of experts’ evaluation information and authority weights are aggregated to the comprehensive weights of each expert. By the comprehensive weights, the group decision making matrix is produced by weighting evaluation information of each expert. Then the maximum deviation method is used to calculate the attribute weights and TOPSIS method is proposed to rank the alternatives. Finally, an example is given to illustrate the decision-making steps and the effectiveness of this method.

SOME INDUCED UNCERTAIN GEOMETRIC AGGREGATION OPERATORS WITH PURE LINGUISTIC INFORMATION AND THEIR APPLICATION TO GROUP DECISION MAKING

2013 ◽  
Vol 21 (05) ◽  
pp. 723-742 ◽  
Author(s):  
BO PENG ◽  
CHUNMING YE
Keyword(s):  
Decision Making ◽  
Group Decision Making ◽  
Group Decision ◽  
Geometric Mean ◽  
Aggregation Operators ◽  
Linguistic Variables ◽  
Linguistic Information ◽  
Attribute Weights ◽  
Multiple Attribute ◽  
Linguistic Labels

In this paper, we develop some new aggregation operators with pure linguistic information including the uncertain pure linguistic weighted geometric mean (UPLWGM) operator, the induced uncertain pure linguistic ordered weighted geometric mean (IUPLOWGM) operator, and the induced uncertain pure linguistic hybrid geometric mean (IUPLHGM) operator. These developed aggregation operators are very suitable to deal with the situation where the input arguments are represented in uncertain pure linguistic variables. Also, as a more general type of aggregation operator, the IUPLHGM operator is based on the UPLWGM and IUPLOWGM operators, and it can reflect the importance degrees of both the given uncertain linguistic variables and their ordered positions. Moreover, in the situations where the information about all the attribute weights, the attribute values and the expert weights are expressed in the form of linguistic labels variables, we develop an approach based on the IUPLHGM operator for multiple attribute group decision making with pure linguistic information. Finally, an application of the developed approach to group decision making problem regarding the selection of investments is given. Also, we present a comparative analysis with other related decision making methods to demonstrate the effectiveness of the developed approach.

scholarly journals Triangular Cubic Hesitant Fuzzy Einstein Hybrid Weighted Averaging Operator and Its Application to Decision Making

Symmetry ◽  
2018 ◽  
Vol 10 (11) ◽  
pp. 658 ◽  
Author(s):  
Aliya Fahmi ◽  
Fazli Amin ◽  
Florentin Smarandache ◽  
Madad Khan ◽  
Nasruddin Hassan
Keyword(s):  
Decision Making ◽  
Group Decision Making ◽  
Group Decision ◽  
Aggregation Operators ◽  
Weighted Averaging ◽  
Linguistic Information ◽  
Ordered Weighted Averaging ◽  
Averaging Operator ◽  
Multiple Attribute ◽  
The Relationship

In this paper, triangular cubic hesitant fuzzy Einstein weighted averaging (TCHFEWA) operator, triangular cubic hesitant fuzzy Einstein ordered weighted averaging (TCHFEOWA) operator and triangular cubic hesitant fuzzy Einstein hybrid weighted averaging (TCHFEHWA) operator are proposed. An approach to multiple attribute group decision making with linguistic information is developed based on the TCHFEWA and the TCHFEHWA operators. Furthermore, we establish various properties of these operators and derive the relationship between the proposed operators and the existing aggregation operators. Finally, a numerical example is provided to demonstrate the application of the established approach.

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