New q-Rung Orthopair Hesitant Fuzzy Decision Making Based on Linear Programming and TOPSIS
A new multiple attribute decision making method based on the q-rung orthopair hesitant fuzzy sets has been developed. The evaluation values are given as q-rung orthopair hesitant fuzzy values. Then some weighted similarity functions are defined. A linear programming model is proposed to derive attri...
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doaj-4a4e1decddce4ceca90b7a32b212a4102021-03-30T04:43:15ZengIEEEIEEE Access2169-35362020-01-01822129922131110.1109/ACCESS.2020.30432559286484New q-Rung Orthopair Hesitant Fuzzy Decision Making Based on Linear Programming and TOPSISWei Yang0https://orcid.org/0000-0002-3483-9934Yongfeng Pang1https://orcid.org/0000-0002-4764-6699Department of Mathematics, School of Science, Xi’an University of Architecture and Technology, Xi’an, ChinaDepartment of Mathematics, School of Science, Xi’an University of Architecture and Technology, Xi’an, ChinaA new multiple attribute decision making method based on the q-rung orthopair hesitant fuzzy sets has been developed. The evaluation values are given as q-rung orthopair hesitant fuzzy values. Then some weighted similarity functions are defined. A linear programming model is proposed to derive attribute weights based on the similarity functions for the case of partly known attribute weight information and a formula is given to determine attribute weight based on similarity function and the Lagrange function for completely unknown attribute weights. Finally, TOPSIS method is used to rank alternatives. The application of the proposed approach is explored by the application of purchase self-service book sterilizer problem. Some comparisons are also conducted to demonstrate advantages of the proposed method.https://ieeexplore.ieee.org/document/9286484/Multiple attribute decision makingq-rung orthopair hesitant fuzzy setlinear programming modelTOPSISaggregation operator |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Wei Yang Yongfeng Pang |
spellingShingle |
Wei Yang Yongfeng Pang New q-Rung Orthopair Hesitant Fuzzy Decision Making Based on Linear Programming and TOPSIS IEEE Access Multiple attribute decision making q-rung orthopair hesitant fuzzy set linear programming model TOPSIS aggregation operator |
author_facet |
Wei Yang Yongfeng Pang |
author_sort |
Wei Yang |
title |
New q-Rung Orthopair Hesitant Fuzzy Decision Making Based on Linear Programming and TOPSIS |
title_short |
New q-Rung Orthopair Hesitant Fuzzy Decision Making Based on Linear Programming and TOPSIS |
title_full |
New q-Rung Orthopair Hesitant Fuzzy Decision Making Based on Linear Programming and TOPSIS |
title_fullStr |
New q-Rung Orthopair Hesitant Fuzzy Decision Making Based on Linear Programming and TOPSIS |
title_full_unstemmed |
New q-Rung Orthopair Hesitant Fuzzy Decision Making Based on Linear Programming and TOPSIS |
title_sort |
new q-rung orthopair hesitant fuzzy decision making based on linear programming and topsis |
publisher |
IEEE |
series |
IEEE Access |
issn |
2169-3536 |
publishDate |
2020-01-01 |
description |
A new multiple attribute decision making method based on the q-rung orthopair hesitant fuzzy sets has been developed. The evaluation values are given as q-rung orthopair hesitant fuzzy values. Then some weighted similarity functions are defined. A linear programming model is proposed to derive attribute weights based on the similarity functions for the case of partly known attribute weight information and a formula is given to determine attribute weight based on similarity function and the Lagrange function for completely unknown attribute weights. Finally, TOPSIS method is used to rank alternatives. The application of the proposed approach is explored by the application of purchase self-service book sterilizer problem. Some comparisons are also conducted to demonstrate advantages of the proposed method. |
topic |
Multiple attribute decision making q-rung orthopair hesitant fuzzy set linear programming model TOPSIS aggregation operator |
url |
https://ieeexplore.ieee.org/document/9286484/ |
work_keys_str_mv |
AT weiyang newqrungorthopairhesitantfuzzydecisionmakingbasedonlinearprogrammingandtopsis AT yongfengpang newqrungorthopairhesitantfuzzydecisionmakingbasedonlinearprogrammingandtopsis |
_version_ |
1724181319695466496 |