Several similarity measures of probabilistic dual hesitant fuzzy sets and their applications to new energy vehicle charging station location
Probabilistic dual hesitant fuzzy set (PDHFS) can better reflect the hesitant attitude and probability information of decision-makers than existing fuzzy sets. Therefore, it is a more powerful and important tool to express and deal with uncertain information. The score function of fuzzy number plays...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2023-05-01
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| Series: | Alexandria Engineering Journal |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S1110016823002223 |
| _version_ | 1797856394756489216 |
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| author | Baoquan Ning Hongjun Wang Guiwu Wei Cun Wei |
| author_facet | Baoquan Ning Hongjun Wang Guiwu Wei Cun Wei |
| author_sort | Baoquan Ning |
| collection | DOAJ |
| description | Probabilistic dual hesitant fuzzy set (PDHFS) can better reflect the hesitant attitude and probability information of decision-makers than existing fuzzy sets. Therefore, it is a more powerful and important tool to express and deal with uncertain information. The score function of fuzzy number plays a very important role in comparing two fuzzy numbers. Entropy measure is a very effective tool for weighting decision attributes in multi-attribute group decision-making problems. Firstly, depending on the detailed analysis of the already existed score function of probabilistic dual hesitant fuzzy element (PDHFE), we built a novel score function for it, it is more effective and convenient when comparing two elements. Secondly, probabilistic dual hesitant fuzzy entropy was built to weight decision attributes. Thirdly, a combined weighting method was proposed which can reflect both subjective and objective information for decision attribute weighting based on the principle of minimum discriminant information. Fourthly, we extended the classical Dice and Jaccard similarity measures to the probabilistic dual hesitant fuzzy environment, and an all-new multi-attribute group decision-making technique to solve the problem that the decision attribute information is probabilistic dual hesitant fuzzy element. Finally, the applicability and effectiveness of this technique are proved by numerical examples and comparative analysis. |
| first_indexed | 2024-04-09T20:39:42Z |
| format | Article |
| id | doaj.art-11fcab125f7647ad82d2bbb29eaa9437 |
| institution | Directory Open Access Journal |
| issn | 1110-0168 |
| language | English |
| last_indexed | 2024-04-09T20:39:42Z |
| publishDate | 2023-05-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Alexandria Engineering Journal |
| spelling | doaj.art-11fcab125f7647ad82d2bbb29eaa94372023-03-30T04:26:10ZengElsevierAlexandria Engineering Journal1110-01682023-05-0171371385Several similarity measures of probabilistic dual hesitant fuzzy sets and their applications to new energy vehicle charging station locationBaoquan Ning0Hongjun Wang1Guiwu Wei2Cun Wei3Mathematics and Statistics, Liupanshui Normal University, 553004 Liupanshui, PR China; School of Mathematical Sciences, Sichuan Normal University, Chengdu 610101, PR ChinaSchool of Economics and Management, Chongqing University of Arts and Sciences, Chongqing 402160, PR ChinaSchool of Mathematical Sciences, Sichuan Normal University, Chengdu 610101, PR China; School of Business, Sichuan Normal University, Chengdu 610101, PR ChinaSchool of Management Science and Engineering, Southwestern University of Finance and Economics, Chengdu 611130, PR China; Corresponding author.Probabilistic dual hesitant fuzzy set (PDHFS) can better reflect the hesitant attitude and probability information of decision-makers than existing fuzzy sets. Therefore, it is a more powerful and important tool to express and deal with uncertain information. The score function of fuzzy number plays a very important role in comparing two fuzzy numbers. Entropy measure is a very effective tool for weighting decision attributes in multi-attribute group decision-making problems. Firstly, depending on the detailed analysis of the already existed score function of probabilistic dual hesitant fuzzy element (PDHFE), we built a novel score function for it, it is more effective and convenient when comparing two elements. Secondly, probabilistic dual hesitant fuzzy entropy was built to weight decision attributes. Thirdly, a combined weighting method was proposed which can reflect both subjective and objective information for decision attribute weighting based on the principle of minimum discriminant information. Fourthly, we extended the classical Dice and Jaccard similarity measures to the probabilistic dual hesitant fuzzy environment, and an all-new multi-attribute group decision-making technique to solve the problem that the decision attribute information is probabilistic dual hesitant fuzzy element. Finally, the applicability and effectiveness of this technique are proved by numerical examples and comparative analysis.http://www.sciencedirect.com/science/article/pii/S1110016823002223Score functionEntropy measureDice similarity measureJaccard similarity measureMulti-attribute group decision-makingProbabilistic dual hesitant fuzzy set |
| spellingShingle | Baoquan Ning Hongjun Wang Guiwu Wei Cun Wei Several similarity measures of probabilistic dual hesitant fuzzy sets and their applications to new energy vehicle charging station location Alexandria Engineering Journal Score function Entropy measure Dice similarity measure Jaccard similarity measure Multi-attribute group decision-making Probabilistic dual hesitant fuzzy set |
| title | Several similarity measures of probabilistic dual hesitant fuzzy sets and their applications to new energy vehicle charging station location |
| title_full | Several similarity measures of probabilistic dual hesitant fuzzy sets and their applications to new energy vehicle charging station location |
| title_fullStr | Several similarity measures of probabilistic dual hesitant fuzzy sets and their applications to new energy vehicle charging station location |
| title_full_unstemmed | Several similarity measures of probabilistic dual hesitant fuzzy sets and their applications to new energy vehicle charging station location |
| title_short | Several similarity measures of probabilistic dual hesitant fuzzy sets and their applications to new energy vehicle charging station location |
| title_sort | several similarity measures of probabilistic dual hesitant fuzzy sets and their applications to new energy vehicle charging station location |
| topic | Score function Entropy measure Dice similarity measure Jaccard similarity measure Multi-attribute group decision-making Probabilistic dual hesitant fuzzy set |
| url | http://www.sciencedirect.com/science/article/pii/S1110016823002223 |
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