A Hesitant Fuzzy Multi-Attribute Group Decision Making Method Based on Prospect Theory
To solve a multi-attribute group decision-making problem, since its attribute weight is completely unknown, based on the prospect theory, a hesitant fuzzy multi-attribute group decision making method is proposed. According to the single-attribute-preference function provided by a decision maker, an...
| Format: | Article |
|---|---|
| Language: | zho |
| Published: |
EDP Sciences
2018-08-01
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| Series: | Xibei Gongye Daxue Xuebao |
| Subjects: | |
| Online Access: | https://www.jnwpu.org/articles/jnwpu/pdf/2018/04/jnwpu2018364p735.pdf |
| _version_ | 1797426769369759744 |
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| collection | DOAJ |
| description | To solve a multi-attribute group decision-making problem, since its attribute weight is completely unknown, based on the prospect theory, a hesitant fuzzy multi-attribute group decision making method is proposed. According to the single-attribute-preference function provided by a decision maker, an improved entropy weight method is proposed to calculate the attribute weight. The hesitant fuzzy decision-making matrix is transformed into the prospect decision-making matrix which utilizes positive and negative ideal solutions as reference points. Then alternative schemes are ranked according to the ratio of profit to loss. Finally, a numerical example is provided to verify the effectiveness and feasibility of the proposed method. |
| first_indexed | 2024-03-09T08:34:42Z |
| format | Article |
| id | doaj.art-24d347ebe40643bab57dd5dc34d67612 |
| institution | Directory Open Access Journal |
| issn | 1000-2758 2609-7125 |
| language | zho |
| last_indexed | 2024-03-09T08:34:42Z |
| publishDate | 2018-08-01 |
| publisher | EDP Sciences |
| record_format | Article |
| series | Xibei Gongye Daxue Xuebao |
| spelling | doaj.art-24d347ebe40643bab57dd5dc34d676122023-12-02T18:26:43ZzhoEDP SciencesXibei Gongye Daxue Xuebao1000-27582609-71252018-08-0136473574110.1051/jnwpu/20183640735jnwpu2018364p735A Hesitant Fuzzy Multi-Attribute Group Decision Making Method Based on Prospect Theory012School of Automation, Northwestern Polytechnical UniversitySchool of Automation, Northwestern Polytechnical UniversitySchool of Automation, Northwestern Polytechnical UniversityTo solve a multi-attribute group decision-making problem, since its attribute weight is completely unknown, based on the prospect theory, a hesitant fuzzy multi-attribute group decision making method is proposed. According to the single-attribute-preference function provided by a decision maker, an improved entropy weight method is proposed to calculate the attribute weight. The hesitant fuzzy decision-making matrix is transformed into the prospect decision-making matrix which utilizes positive and negative ideal solutions as reference points. Then alternative schemes are ranked according to the ratio of profit to loss. Finally, a numerical example is provided to verify the effectiveness and feasibility of the proposed method.https://www.jnwpu.org/articles/jnwpu/pdf/2018/04/jnwpu2018364p735.pdfmulti-attribute group decision makingprospect theoryhesitant fuzzy setexpert weightfuzzy setdecision making |
| spellingShingle | A Hesitant Fuzzy Multi-Attribute Group Decision Making Method Based on Prospect Theory Xibei Gongye Daxue Xuebao multi-attribute group decision making prospect theory hesitant fuzzy set expert weight fuzzy set decision making |
| title | A Hesitant Fuzzy Multi-Attribute Group Decision Making Method Based on Prospect Theory |
| title_full | A Hesitant Fuzzy Multi-Attribute Group Decision Making Method Based on Prospect Theory |
| title_fullStr | A Hesitant Fuzzy Multi-Attribute Group Decision Making Method Based on Prospect Theory |
| title_full_unstemmed | A Hesitant Fuzzy Multi-Attribute Group Decision Making Method Based on Prospect Theory |
| title_short | A Hesitant Fuzzy Multi-Attribute Group Decision Making Method Based on Prospect Theory |
| title_sort | hesitant fuzzy multi attribute group decision making method based on prospect theory |
| topic | multi-attribute group decision making prospect theory hesitant fuzzy set expert weight fuzzy set decision making |
| url | https://www.jnwpu.org/articles/jnwpu/pdf/2018/04/jnwpu2018364p735.pdf |