Dual Hesitant q-Rung Orthopair Fuzzy Hamacher Aggregation Operators and their Applications in Scheme Selection of Construction Project
The q-rung orthopair fuzzy set (q-ROFS), which is the extension of intuitionistic fuzzy set (IFS) and Pythagorean fuzzy set (PFS), satisfies the sum of <i>q-th</i> power of membership degree and nonmembership degree is limited 1. Evidently, the q-ROFS can depict more fuzzy assessment inf...
| Main Authors: | , , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2019-06-01
|
| Series: | Symmetry |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2073-8994/11/6/771 |
| _version_ | 1818037547837685760 |
|---|---|
| author | Ping Wang Guiwu Wei Jie Wang Rui Lin Yu Wei |
| author_facet | Ping Wang Guiwu Wei Jie Wang Rui Lin Yu Wei |
| author_sort | Ping Wang |
| collection | DOAJ |
| description | The q-rung orthopair fuzzy set (q-ROFS), which is the extension of intuitionistic fuzzy set (IFS) and Pythagorean fuzzy set (PFS), satisfies the sum of <i>q-th</i> power of membership degree and nonmembership degree is limited 1. Evidently, the q-ROFS can depict more fuzzy assessment information and consider decision-maker’s (DM’s) hesitance. Thus, the concept of a dual hesitant q-rung orthopair fuzzy set (DHq-ROFS) is developed in this paper. Then, based on Hamacher operation laws, weighting average (WA) operator and weighting geometric (WG) operator, some dual hesitant q-rung orthopair fuzzy Hamacher aggregation operators are developed, such as the dual hesitant q-rung orthopair fuzzy Hamacher weighting average (DHq-ROFHWA) operator, the dual hesitant q-rung orthopair fuzzy Hamacher weighting geometric (DHq-ROFHWG) operator, the dual hesitant q-rung orthopair fuzzy Hamacher ordered weighted average (DHq-ROFHOWA) operator, the dual hesitant q-rung orthopair fuzzy Hamacher ordered weighting geometric (DHq-ROFHOWG) operator, the dual hesitant q-rung orthopair fuzzy Hamacher hybrid average (DHq-ROFHHA) operator, and the dual hesitant q-rung orthopair fuzzy Hamacher hybrid geometric (DHq-ROFHHG) operator. The precious merits and some particular cases of above mentioned aggregation operators are briefly introduced. In the end, an actual application for scheme selection of construction project is provided to testify the proposed operators and deliver a comparative analysis. |
| first_indexed | 2024-12-10T07:28:35Z |
| format | Article |
| id | doaj.art-639808c1bebf4075a6fb77e64610e8b8 |
| institution | Directory Open Access Journal |
| issn | 2073-8994 |
| language | English |
| last_indexed | 2024-12-10T07:28:35Z |
| publishDate | 2019-06-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Symmetry |
| spelling | doaj.art-639808c1bebf4075a6fb77e64610e8b82022-12-22T01:57:38ZengMDPI AGSymmetry2073-89942019-06-0111677110.3390/sym11060771sym11060771Dual Hesitant q-Rung Orthopair Fuzzy Hamacher Aggregation Operators and their Applications in Scheme Selection of Construction ProjectPing Wang0Guiwu Wei1Jie Wang2Rui Lin3Yu Wei4School of Engineering, Sichuan Normal University, Chengdu 610101, ChinaSchool of Business, Sichuan Normal University, Chengdu 610101, ChinaSchool of Business, Sichuan Normal University, Chengdu 610101, ChinaSchool of Economics and Management, Chongqing University of Arts and Sciences, Chongqing 402160, ChinaSchool of Finance, Yunnan University of Finance and Economics, Kunming 650221, ChinaThe q-rung orthopair fuzzy set (q-ROFS), which is the extension of intuitionistic fuzzy set (IFS) and Pythagorean fuzzy set (PFS), satisfies the sum of <i>q-th</i> power of membership degree and nonmembership degree is limited 1. Evidently, the q-ROFS can depict more fuzzy assessment information and consider decision-maker’s (DM’s) hesitance. Thus, the concept of a dual hesitant q-rung orthopair fuzzy set (DHq-ROFS) is developed in this paper. Then, based on Hamacher operation laws, weighting average (WA) operator and weighting geometric (WG) operator, some dual hesitant q-rung orthopair fuzzy Hamacher aggregation operators are developed, such as the dual hesitant q-rung orthopair fuzzy Hamacher weighting average (DHq-ROFHWA) operator, the dual hesitant q-rung orthopair fuzzy Hamacher weighting geometric (DHq-ROFHWG) operator, the dual hesitant q-rung orthopair fuzzy Hamacher ordered weighted average (DHq-ROFHOWA) operator, the dual hesitant q-rung orthopair fuzzy Hamacher ordered weighting geometric (DHq-ROFHOWG) operator, the dual hesitant q-rung orthopair fuzzy Hamacher hybrid average (DHq-ROFHHA) operator, and the dual hesitant q-rung orthopair fuzzy Hamacher hybrid geometric (DHq-ROFHHG) operator. The precious merits and some particular cases of above mentioned aggregation operators are briefly introduced. In the end, an actual application for scheme selection of construction project is provided to testify the proposed operators and deliver a comparative analysis.https://www.mdpi.com/2073-8994/11/6/771multiple attribute decision-making (MADM) problemsHamacher operation lawsdual hesitant q-rung orthopair fuzzy set (DHq-ROFS)the DHq-ROFHWA operatorthe DHq-ROFHWG operator |
| spellingShingle | Ping Wang Guiwu Wei Jie Wang Rui Lin Yu Wei Dual Hesitant q-Rung Orthopair Fuzzy Hamacher Aggregation Operators and their Applications in Scheme Selection of Construction Project Symmetry multiple attribute decision-making (MADM) problems Hamacher operation laws dual hesitant q-rung orthopair fuzzy set (DHq-ROFS) the DHq-ROFHWA operator the DHq-ROFHWG operator |
| title | Dual Hesitant q-Rung Orthopair Fuzzy Hamacher Aggregation Operators and their Applications in Scheme Selection of Construction Project |
| title_full | Dual Hesitant q-Rung Orthopair Fuzzy Hamacher Aggregation Operators and their Applications in Scheme Selection of Construction Project |
| title_fullStr | Dual Hesitant q-Rung Orthopair Fuzzy Hamacher Aggregation Operators and their Applications in Scheme Selection of Construction Project |
| title_full_unstemmed | Dual Hesitant q-Rung Orthopair Fuzzy Hamacher Aggregation Operators and their Applications in Scheme Selection of Construction Project |
| title_short | Dual Hesitant q-Rung Orthopair Fuzzy Hamacher Aggregation Operators and their Applications in Scheme Selection of Construction Project |
| title_sort | dual hesitant q rung orthopair fuzzy hamacher aggregation operators and their applications in scheme selection of construction project |
| topic | multiple attribute decision-making (MADM) problems Hamacher operation laws dual hesitant q-rung orthopair fuzzy set (DHq-ROFS) the DHq-ROFHWA operator the DHq-ROFHWG operator |
| url | https://www.mdpi.com/2073-8994/11/6/771 |
| work_keys_str_mv | AT pingwang dualhesitantqrungorthopairfuzzyhamacheraggregationoperatorsandtheirapplicationsinschemeselectionofconstructionproject AT guiwuwei dualhesitantqrungorthopairfuzzyhamacheraggregationoperatorsandtheirapplicationsinschemeselectionofconstructionproject AT jiewang dualhesitantqrungorthopairfuzzyhamacheraggregationoperatorsandtheirapplicationsinschemeselectionofconstructionproject AT ruilin dualhesitantqrungorthopairfuzzyhamacheraggregationoperatorsandtheirapplicationsinschemeselectionofconstructionproject AT yuwei dualhesitantqrungorthopairfuzzyhamacheraggregationoperatorsandtheirapplicationsinschemeselectionofconstructionproject |