A New Model for Deriving the Priority Weights from Hesitant Triangular Fuzzy Preference Relations
| Autor: | Gong-Tian Shen, Yuan Liu, Zhang-Yan Zhao, Zhan-Wen Wu |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2019 |
| Předmět: |
0209 industrial biotechnology
Mathematical optimization Article Subject Process (engineering) Computer science General Mathematics lcsh:Mathematics Fuzzy set General Engineering 02 engineering and technology lcsh:QA1-939 Fuzzy logic Preference 020901 industrial engineering & automation lcsh:TA1-2040 0202 electrical engineering electronic engineering information engineering 020201 artificial intelligence & image processing lcsh:Engineering (General). Civil engineering (General) Value (mathematics) |
| Zdroj: | Mathematical Problems in Engineering, Vol 2019 (2019) |
| ISSN: | 1563-5147 |
| Popis: | Fuzzy preference relation is a common tool to express the uncertain preference information of decision maker in the process of decision making. However, the traditional fuzzy preference relation will fail under hesitant fuzzy environment as the membership has a single value. In addition, it is very difficult to obtain the precise membership values. Therefore, a new model of fuzzy preference relation is proposed in this paper. Firstly, the concept of hesitant triangular fuzzy preference relation is defined and its properties are investigated based on the concepts of hesitant fuzzy set, hesitant triangular fuzzy set, fuzzy preference relation, and hesitant fuzzy preference relation. Then, the steps of applying this novel model are offered for the case of determining the weights of failure modes. Finally, an example is used to illustrate the proposed model. |
| Databáze: | OpenAIRE |
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