Some Interval 2-Tuple Linguistic Harmonic Mean Operators and Their Application in Material Selection
| Autor: | Meng-Meng Shan, Jian-Xin You, Hu-Chen Liu |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2016 |
| Předmět: | |
| Zdroj: | Advances in Materials Science and Engineering, Vol 2016 (2016) |
| Druh dokumentu: | article |
| ISSN: | 1687-8434 1687-8442 |
| DOI: | 10.1155/2016/7034938 |
| Popis: | We investigate the multiple attribute group material selection problems in which the attribute values take the form of interval 2-tuple linguistic information. Firstly, some operational laws and possibility degree of interval 2-tuple linguistic variables are introduced. Then, we develop some interval 2-tuple linguistic aggregation operators called interval 2-tuple hybrid harmonic mean (ITHHM) operator, induced interval 2-tuple ordered weighted harmonic mean (I-ITOWHM) operator, and induced interval 2-tuple hybrid harmonic mean (I-ITHHM) operator and study some desirable properties of the I-ITOWHM operator. In particular, all these operators can be reduced to aggregate 2-tuple linguistic variables. Based on the I-ITHHM and the ITWHM (interval 2-tuple weighted harmonic mean) operators, an approach to multiple attribute group decision-making with interval 2-tuple linguistic information is proposed. Finally, a practical application to material selection problem is given to verify the developed approach and to demonstrate its practicality and effectiveness. |
| Databáze: | Directory of Open Access Journals |
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