Approaches to Multiple Attribute Decision Making Based on the Hesitant Fuzzy Uncertain Linguistic Power Aggregation Operators and Their Applications to Service Quality Evaluation in Higher Education

2016 ◽  
Vol 13 (10) ◽  
pp. 7171-7175 ◽  
Author(s):  
Min Jin ◽  
Ming-Jing Liao
Keyword(s):  
Higher Education ◽  
Decision Making ◽  
Service Quality ◽  
Weighted Average ◽  
Multiple Attribute Decision Making ◽  
Aggregation Operators ◽  
Linguistic Information ◽  
Multiple Attribute ◽  
Linguistic Power ◽  
Quality In Higher Education

In this paper, we investigate the multiple attribute decision making problems based on the power aggregation operators with hesitant fuzzy uncertain linguistic information. Then, we have developed some power aggregation operators for aggregating hesitant fuzzy uncertain linguistic information: hesitant fuzzy uncertain linguistic power weighted average (HFULPWA) operator and hesitant fuzzy uncertain linguistic power weighted geometric (HFULPWG) operator. Then, we have utilized these operators to develop some approaches to solve the hesitant fuzzy uncertain linguistic multiple attribute decision making problems. Finally, a practical example for evaluating the service quality in higher education is given to verify the developed approach and to demonstrate its practicality and effectiveness.

Model for Multiple Attribute Decision Making Based on Picture 2-Tuple Linguistic Power Aggregation Operators

2019 ◽  
Vol 11 (1) ◽  
pp. 35-65 ◽  
Author(s):  
Guiwu Wei
Keyword(s):  
Decision Making ◽  
Enterprise Resource Planning ◽  
Weighted Average ◽  
Resource Planning ◽  
Multiple Attribute Decision Making ◽  
Aggregation Operators ◽  
Erp System ◽  
Multiple Attribute ◽  
Linguistic Power ◽  
System Selection

In this article, the authors investigate the multiple attribute decision making problems with picture 2-tuple linguistic information. The utilized power average and power geometric operations used to develop some picture 2-tuple linguistic power aggregation operators: picture 2-tuple linguistic power weighted average (P2TLPWA) operator, picture 2-tuple linguistic power weighted geometric (P2TLPWG) operator, picture 2-tuple linguistic power ordered weighted average (P2TLPOWA) operator, picture 2-tuple linguistic power ordered weighted geometric (P2TLPOWG) operator, picture 2-tuple linguistic power hybrid average (P2TLPHA) operator and picture 2-tuple linguistic power hybrid geometric (P2TLPHG) operator. The prominent characteristic of these proposed operators is studied. This article has utilized these operators to develop some approaches to solve the picture 2-tuple linguistic multiple attribute decision making problems. Finally, a practical example for enterprise resource planning (ERP) system selection is given to verify the developed approach and to demonstrate its practicality and effectiveness.

scholarly journals Analysis of Decision Support System Based on 2-Tuple Spherical Fuzzy Linguistic Aggregation Information

2019 ◽  
Vol 10 (1) ◽  
pp. 276
Author(s):  
Saleem Abdullah ◽  
Omar Barukab ◽  
Muhammad Qiyas ◽  
Muhammad Arif ◽  
Sher Afzal Khan
Keyword(s):  
Decision Making ◽  
Weighted Average ◽  
Multiple Attribute Decision Making ◽  
Aggregation Operators ◽  
Comparison Analysis ◽  
Practical Application ◽  
Multiple Attribute ◽  
Ordered Weighted Average ◽  
Selection For ◽  
Fuzzy Linguistic

The aim of this paper is to propose the 2-tuple spherical fuzzy linguistic aggregation operators and a decision-making approach to deal with uncertainties in the form of 2-tuple spherical fuzzy linguistic sets. 2-tuple spherical fuzzy linguistic operators have more flexibility than general fuzzy set. We proposed a numbers of aggregation operators, namely 2-tuple spherical fuzzy linguistic weighted average, 2-tuple spherical fuzzy linguistic ordered weighted average, 2-tuple spherical fuzzy linguistic hybrid average, 2-tuple spherical fuzzy linguistic weighted geometric, 2-tuple spherical fuzzy linguistic ordered geometric, and 2-tuple spherical fuzzy linguistic hybrid geometric operators. The distinguishing feature of these proposed operators is studied. At that point, we have used these operators to design a model to deal with multiple attribute decision-making issues under the 2-tuple spherical fuzzy linguistic information. Then, a practical application for best company selection for feeds is given to prove the introduced technique and to show its practicability and effectiveness. Besides this, a systematic comparison analysis with other existent methods is conducted to reveal the advantage of our method. Results indicate that the proposed method is suitable and effective for decision making problems.

scholarly journals Approaches to multiple attribute decision making based on picture 2-tuple linguistic power Hamy mean aggregation operators

2019 ◽  
Author(s):  
Guiwu Wei ◽  
Jie Wang ◽  
Hui Gao ◽  
Cun Wei
Keyword(s):  
Decision Making ◽  
Enterprise Resource Planning ◽  
Resource Planning ◽  
Multiple Attribute Decision Making ◽  
Aggregation Operators ◽  
Erp System ◽  
Multiple Attribute ◽  
Linguistic Power ◽  
System Selection ◽  
Selection Of

In this paper, the multiple attribute decision making (MADM) problems are investigated with picture 2-tuple linguistic information. Then, based on Hamy mean (HM) operator and dual Hamy mean (DHM) operator, the power average and power geometric operations are utilized to develop some picture 2-tuple linguistic power Hamy mean aggregation operators: picture 2-tuple linguistic power weighted Hamy mean (P2TLPWHM) operator, picture 2-tuple linguistic power weighted dual Hamy mean (P2TLPWDHM) operator, picture 2-tuple linguistic power ordered weighted Hamy mean (P2TLPOWHM) operator, picture 2-tuple linguistic power ordered weighted dual Hamy mean (P2TLPOWDHM) operator, picture 2-tuple linguistic power hybrid Hamy mean (P2TLPHHM) operator and picture 2-tuple linguistic power hybrid dual Hamy mean (P2TLPHDHM) operator. The prominent characteristic of these proposed operators are studied. Then, these operators are utilized to develop some approaches to solve the picture 2-tuple linguistic multiple attribute decision making problems. Finally, the proposed method is demonstrated through a practical example for enterprise resource planning (ERP) system selection of how the proposed methods help us and is effective in MADM problems.

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.

scholarly journals A New Fuzzy Multiple Attribute Decision Making Method Based on the Utility Transformation Functions

Symmetry ◽  
2019 ◽  
Vol 11 (3) ◽  
pp. 418
Author(s):  
Yuting Zuo ◽  
Chunfang Chen
Keyword(s):  
Decision Making ◽  
Utility Theory ◽  
Weighted Average ◽  
Multiple Attribute Decision Making ◽  
Decision Makers ◽  
Linguistic Information ◽  
Operational Laws ◽  
Multiple Attribute ◽  
Transformation Functions ◽  
The Difference

The 2-tuple linguistic information model (2TLIM) is a useful tool to avoid the loss of information, which has been widely adapted in the study of the multiple attribute decision making (MADM) problem. However, there is a limitation, the limitation is that the difference between the neighboring 2-tuple linguistic information is fixed regardless of the decision-makers’ attitude. In this paper, we define the utility transformation functions based on the 2-tuple linguistic utility to overcome the drawback. Firstly, by introducing the economic utility theory, the 2-tuple linguistic utility is defined, the 2-tuple linguistic utility parameter (2TLUP) and the 2-tuple linguistic marginal utility (2TLMU) are constructed to achieve the measurement of the decision-makers’ attitude. The utility transformation functions are developed on the decision-makers’ attitude. Secondly, the 2-tuple linguistic operational laws are presented with the extended Hamacher T-norm (TN) and T-conorm (TC). Subsequently, we propose the 2-tuple linguistic utility weighted average (2TLUWA) operator and the method of MADM. Lastly, the application and the comparison with the existing methods are summarized to verify the practicality and advantages of the proposed method of MADM.

Pythagorean Hesitant Fuzzy Hamacher Aggregation Operators in Multiple-Attribute Decision Making

2017 ◽  
Vol 28 (5) ◽  
pp. 759-776 ◽  
Author(s):  
Guiwu Wei ◽  
Mao Lu
Keyword(s):  
Decision Making ◽  
Weighted Average ◽  
Multiple Attribute Decision Making ◽  
Aggregation Operators ◽  
Average Operator ◽  
Multiple Attribute ◽  
Fuzzy Aggregation ◽  
Ordered Weighted Average ◽  
Algebraic Operations ◽  
Geometric Operator

Abstract The Hamacher product is a t-norm and the Hamacher sum is a t-conorm. They are good alternatives to the algebraic product and the algebraic sum, respectively. Nevertheless, it seems that most of the existing hesitant fuzzy aggregation operators are based on algebraic operations. In this paper, we utilize Hamacher operations to develop some Pythagorean hesitant fuzzy aggregation operators: Pythagorean hesitant fuzzy Hamacher weighted average operator, Pythagorean hesitant fuzzy Hamacher weighted geometric operator, Pythagorean hesitant fuzzy Hamacher ordered weighted average operator, Pythagorean hesitant fuzzy Hamacher ordered weighted geometric operator, Pythagorean hesitant fuzzy Hamacher hybrid average operator, and Pythagorean hesitant fuzzy Hamacher hybrid geometric operator. The prominent characteristics of these proposed operators are studied. Then, we utilize these operators to develop some approaches for solving the Pythagorean hesitant fuzzy multiple-attribute decision-making problems. Finally, a practical example is given to verify the developed approach and to demonstrate its practicality and effectiveness.

scholarly journals Bipolar Complex Fuzzy Hamacher Aggregation Operators and Their Applications in Multi-Attribute Decision Making

Mathematics ◽  
2021 ◽  
Vol 10 (1) ◽  
pp. 23
Author(s):  
Tahir Mahmood ◽  
Ubaid ur Rehman ◽  
Jabbar Ahmmad ◽  
Gustavo Santos-García
Keyword(s):  
Decision Making ◽  
Weighted Average ◽  
Multiple Attribute Decision Making ◽  
Aggregation Operators ◽  
Numerical Example ◽  
Multiple Attribute ◽  
Multi Attribute Decision Making ◽  
Ordered Weighted Average

On the basis of Hamacher operations, in this manuscript, we interpret bipolar complex fuzzy Hamacher weighted average (BCFHWA) operator, bipolar complex fuzzy Hamacher ordered weighted average (BCFHOWA) operator, bipolar complex fuzzy Hamacher hybrid average (BCFHHA) operator, bipolar complex fuzzy Hamacher weighted geometric (BCFHWG) operator, bipolar complex fuzzy Hamacher ordered weighted geometric (BCFHOWG) operator, and bipolar complex fuzzy Hamacher hybrid geometric (BCFHHG) operator. We present the features and particular cases of the above-mentioned operators. Subsequently, we use these operators for methods that can resolve bipolar complex fuzzy multiple attribute decision making (MADM) issues. We provide a numerical example to authenticate the interpreted methods. In the end, we compare our approach with existing methods in order to show its effectiveness and practicality.

Hesitant Trapezoid Fuzzy Hamacher Aggregation Operators and Their Application to Multiple Attribute Decision Making

2020 ◽  
Vol 8 (6) ◽  
pp. 524-548
Author(s):  
Qian Yu ◽  
Jun Cao ◽  
Ling Tan ◽  
Yubing Zhai ◽  
Jiongyan Liu
Keyword(s):  
Decision Making ◽  
Weighted Average ◽  
Multiple Attribute Decision Making ◽  
Aggregation Operators ◽  
Fuzzy Information ◽  
Fuzzy Environment ◽  
Operational Laws ◽  
Multiple Attribute ◽  
Fuzzy Aggregation ◽  
Definition Of

Abstract In this paper, we investigate the multiple attribute decision making (MADM) problems in which the attribute values take the form of hesitant trapezoid fuzzy information. Firstly, inspired by the idea of hesitant fuzzy sets and trapezoid fuzzy numbers, the definition of hesitant trapezoid fuzzy set and some operational laws of hesitant trapezoid fuzzy elements are proposed. Then some hesitant trapezoid fuzzy aggregation operators based on Hamacher operation are developed, such as the hesitant trapezoid fuzzy Hamacher weighted average (HTrFHWA) operator, the hesitant trapezoid fuzzy Hamacher weighted geometric (HTrFHWG) operator, the hesitant trapezoid fuzzy Hamacher Choquet average (HTrFHCA), the hesitant trapezoid fuzzy Hamacher Choquet geometric (HTrFHCG), etc. Furthermore, an approach based on the hesitant trapezoid fuzzy Hamacher weighted average (HTrFHWA) operator and the hesitant trapezoid fuzzy Hamacher weighted geometric (HTrFHWG) operator is proposed for MADM problems under hesitant trapezoid fuzzy environment. Finally, a numerical example for supplier selection is given to illustrate the application of the proposed approach.

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