The Trapezoidal Fuzzy Two-Dimensional Linguistic Power Generalized Hamy Mean Operator and Its Application in Multi-Attribute Decision-Making
As a common information aggregation tool, the Hamy mean (HM) operator can consider the relationships among multiple input elements, but cannot adjust the effect of elements. In this paper, we integrate the idea of generalized a weighted average (GWA) operator into the HM operator, and reduce the inf...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2020-01-01
|
| Series: | Mathematics |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2227-7390/8/1/122 |
| _version_ | 1828785827621109760 |
|---|---|
| author | Yisheng Liu Ye Li |
| author_facet | Yisheng Liu Ye Li |
| author_sort | Yisheng Liu |
| collection | DOAJ |
| description | As a common information aggregation tool, the Hamy mean (HM) operator can consider the relationships among multiple input elements, but cannot adjust the effect of elements. In this paper, we integrate the idea of generalized a weighted average (GWA) operator into the HM operator, and reduce the influence of related elements by adjusting the value of the parameter. In addition, considering that extreme input data may lead to a deviation in the results, we further combine the power average (PA) operator with HM, and propose the power generalized Hamy mean (PGHM) operator. Then, we extend the PGHM operator to the trapezoidal fuzzy two-dimensional linguistic environment, and propose two new information aggregation tools, the trapezoidal fuzzy two-dimensional linguistic power generalized Hamy mean (TF2DLPGHM) operator and the weighted TF2DLPGHM (WTF2DLPGHM) operator. Some properties and special cases of these operators are discussed. Furthermore, based on the proposed WTF2DLPGHM operator, a new multi-attribute decision-making method is proposed for lean management evaluation of industrial residential projects. Finally, an example is given to show the specific steps, effectiveness, and superiority of the method. |
| first_indexed | 2024-12-11T23:59:24Z |
| format | Article |
| id | doaj.art-7d531f657e2a43b1a169f773d8b9e41b |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-12-11T23:59:24Z |
| publishDate | 2020-01-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-7d531f657e2a43b1a169f773d8b9e41b2022-12-22T00:45:17ZengMDPI AGMathematics2227-73902020-01-018112210.3390/math8010122math8010122The Trapezoidal Fuzzy Two-Dimensional Linguistic Power Generalized Hamy Mean Operator and Its Application in Multi-Attribute Decision-MakingYisheng Liu0Ye Li1School of Economic and Management, Beijing Jiaotong University, Beijing 100044, ChinaSchool of Economic and Management, Beijing Jiaotong University, Beijing 100044, ChinaAs a common information aggregation tool, the Hamy mean (HM) operator can consider the relationships among multiple input elements, but cannot adjust the effect of elements. In this paper, we integrate the idea of generalized a weighted average (GWA) operator into the HM operator, and reduce the influence of related elements by adjusting the value of the parameter. In addition, considering that extreme input data may lead to a deviation in the results, we further combine the power average (PA) operator with HM, and propose the power generalized Hamy mean (PGHM) operator. Then, we extend the PGHM operator to the trapezoidal fuzzy two-dimensional linguistic environment, and propose two new information aggregation tools, the trapezoidal fuzzy two-dimensional linguistic power generalized Hamy mean (TF2DLPGHM) operator and the weighted TF2DLPGHM (WTF2DLPGHM) operator. Some properties and special cases of these operators are discussed. Furthermore, based on the proposed WTF2DLPGHM operator, a new multi-attribute decision-making method is proposed for lean management evaluation of industrial residential projects. Finally, an example is given to show the specific steps, effectiveness, and superiority of the method.https://www.mdpi.com/2227-7390/8/1/122trapezoidal fuzzy two-dimensional linguistic variablespower generalized hamy mean operatormulti-attribute decision-making |
| spellingShingle | Yisheng Liu Ye Li The Trapezoidal Fuzzy Two-Dimensional Linguistic Power Generalized Hamy Mean Operator and Its Application in Multi-Attribute Decision-Making Mathematics trapezoidal fuzzy two-dimensional linguistic variables power generalized hamy mean operator multi-attribute decision-making |
| title | The Trapezoidal Fuzzy Two-Dimensional Linguistic Power Generalized Hamy Mean Operator and Its Application in Multi-Attribute Decision-Making |
| title_full | The Trapezoidal Fuzzy Two-Dimensional Linguistic Power Generalized Hamy Mean Operator and Its Application in Multi-Attribute Decision-Making |
| title_fullStr | The Trapezoidal Fuzzy Two-Dimensional Linguistic Power Generalized Hamy Mean Operator and Its Application in Multi-Attribute Decision-Making |
| title_full_unstemmed | The Trapezoidal Fuzzy Two-Dimensional Linguistic Power Generalized Hamy Mean Operator and Its Application in Multi-Attribute Decision-Making |
| title_short | The Trapezoidal Fuzzy Two-Dimensional Linguistic Power Generalized Hamy Mean Operator and Its Application in Multi-Attribute Decision-Making |
| title_sort | trapezoidal fuzzy two dimensional linguistic power generalized hamy mean operator and its application in multi attribute decision making |
| topic | trapezoidal fuzzy two-dimensional linguistic variables power generalized hamy mean operator multi-attribute decision-making |
| url | https://www.mdpi.com/2227-7390/8/1/122 |
| work_keys_str_mv | AT yishengliu thetrapezoidalfuzzytwodimensionallinguisticpowergeneralizedhamymeanoperatoranditsapplicationinmultiattributedecisionmaking AT yeli thetrapezoidalfuzzytwodimensionallinguisticpowergeneralizedhamymeanoperatoranditsapplicationinmultiattributedecisionmaking AT yishengliu trapezoidalfuzzytwodimensionallinguisticpowergeneralizedhamymeanoperatoranditsapplicationinmultiattributedecisionmaking AT yeli trapezoidalfuzzytwodimensionallinguisticpowergeneralizedhamymeanoperatoranditsapplicationinmultiattributedecisionmaking |