A Trapezoidal Fuzzy Number-Based VIKOR Method with Completely Unknown Weight Information
Multi-attribute group decision-making plays an important role in modern politics, economy, culture, and life. The multi-attribute decision-making process is limited by policymakers’ experience, and knowledge of uncertainty factors, such as weight information, is difficult to directly provide. Moreov...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2023-02-01
|
| Series: | Symmetry |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2073-8994/15/2/559 |
| _version_ | 1797618081570226176 |
|---|---|
| author | Guangzheng Liu Xingang Wang |
| author_facet | Guangzheng Liu Xingang Wang |
| author_sort | Guangzheng Liu |
| collection | DOAJ |
| description | Multi-attribute group decision-making plays an important role in modern politics, economy, culture, and life. The multi-attribute decision-making process is limited by policymakers’ experience, and knowledge of uncertainty factors, such as weight information, is difficult to directly provide. Moreover, many types of complex rescue information are difficult to accurately describe in numerical terms, which reduces the accuracy and objectivity of the decision results, although the fuzzy theory to solve these problems provides a suitable tool. In order to solve the above problems, a new VIKOR decision method based on trapezoidal fuzzy numbers (TFNs) is proposed. Firstly, the expert weight is calculated by the distance measurement method, the criterion weight is calculated by the deviation maximization method, and then the VIKOR method is used to solve the problem. In order to verify the effectiveness and feasibility of this method, it is applied to the emergency alternative selection problem. Finally, the symmetry analysis of the method is carried out by contrast experiment and sensitivity test. |
| first_indexed | 2024-03-11T08:04:09Z |
| format | Article |
| id | doaj.art-b87f7ce7d2fa4cb2af567af934423bcf |
| institution | Directory Open Access Journal |
| issn | 2073-8994 |
| language | English |
| last_indexed | 2024-03-11T08:04:09Z |
| publishDate | 2023-02-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Symmetry |
| spelling | doaj.art-b87f7ce7d2fa4cb2af567af934423bcf2023-11-16T23:34:57ZengMDPI AGSymmetry2073-89942023-02-0115255910.3390/sym15020559A Trapezoidal Fuzzy Number-Based VIKOR Method with Completely Unknown Weight InformationGuangzheng Liu0Xingang Wang1School of Computer Science and Technology, Qilu University of Technology (Shandong Academy of Sciences), Jinan 250353, ChinaSchool of Computer Science and Technology, Qilu University of Technology (Shandong Academy of Sciences), Jinan 250353, ChinaMulti-attribute group decision-making plays an important role in modern politics, economy, culture, and life. The multi-attribute decision-making process is limited by policymakers’ experience, and knowledge of uncertainty factors, such as weight information, is difficult to directly provide. Moreover, many types of complex rescue information are difficult to accurately describe in numerical terms, which reduces the accuracy and objectivity of the decision results, although the fuzzy theory to solve these problems provides a suitable tool. In order to solve the above problems, a new VIKOR decision method based on trapezoidal fuzzy numbers (TFNs) is proposed. Firstly, the expert weight is calculated by the distance measurement method, the criterion weight is calculated by the deviation maximization method, and then the VIKOR method is used to solve the problem. In order to verify the effectiveness and feasibility of this method, it is applied to the emergency alternative selection problem. Finally, the symmetry analysis of the method is carried out by contrast experiment and sensitivity test.https://www.mdpi.com/2073-8994/15/2/559trapezoidal fuzzy numberVIKORmulti-attribute group decision makingweight |
| spellingShingle | Guangzheng Liu Xingang Wang A Trapezoidal Fuzzy Number-Based VIKOR Method with Completely Unknown Weight Information Symmetry trapezoidal fuzzy number VIKOR multi-attribute group decision making weight |
| title | A Trapezoidal Fuzzy Number-Based VIKOR Method with Completely Unknown Weight Information |
| title_full | A Trapezoidal Fuzzy Number-Based VIKOR Method with Completely Unknown Weight Information |
| title_fullStr | A Trapezoidal Fuzzy Number-Based VIKOR Method with Completely Unknown Weight Information |
| title_full_unstemmed | A Trapezoidal Fuzzy Number-Based VIKOR Method with Completely Unknown Weight Information |
| title_short | A Trapezoidal Fuzzy Number-Based VIKOR Method with Completely Unknown Weight Information |
| title_sort | trapezoidal fuzzy number based vikor method with completely unknown weight information |
| topic | trapezoidal fuzzy number VIKOR multi-attribute group decision making weight |
| url | https://www.mdpi.com/2073-8994/15/2/559 |
| work_keys_str_mv | AT guangzhengliu atrapezoidalfuzzynumberbasedvikormethodwithcompletelyunknownweightinformation AT xingangwang atrapezoidalfuzzynumberbasedvikormethodwithcompletelyunknownweightinformation AT guangzhengliu trapezoidalfuzzynumberbasedvikormethodwithcompletelyunknownweightinformation AT xingangwang trapezoidalfuzzynumberbasedvikormethodwithcompletelyunknownweightinformation |