Pythagorean Hesitant Fuzzy Information Aggregation and Their Application to Multi-Attribute Group Decision-Making Problems
| Autor: | Khaista Rahman, Saleem Abdullah, Asad Ali, Muhammad Sajjad Ali Khan |
|---|---|
| Rok vydání: | 2018 |
| Předmět: |
0209 industrial biotechnology
Computer science Science 02 engineering and technology Fuzzy logic 020901 industrial engineering & automation Artificial Intelligence group decision making 0202 electrical engineering electronic engineering information engineering pythagorean hesitant fuzzy set phfwa operator business.industry Pythagorean theorem QA75.5-76.95 phfowa operator Group decision-making Electronic computers. Computer science Information aggregation 020201 artificial intelligence & image processing Artificial intelligence business phfowg operator Software phfwg operator Information Systems |
| Zdroj: | Journal of Intelligent Systems, Vol 29, Iss 1, Pp 154-171 (2018) |
| ISSN: | 2191-026X 0334-1860 |
| Popis: | In this paper, we introduce the concept of the Pythagorean hesitant fuzzy set (PHFS), which is the generalization of the intuitionistic hesitant fuzzy set under the restriction that the square sum of its membership degrees is ≤1. In decision making with PHFSs, aggregation operators play a key role because they can be used to synthesize multidimensional evaluation values represented as Pythagorean hesitant fuzzy values into collective values. Under PHFS environments, Pythagorean hesitant fuzzy ordered weighted averaging and Pythagorean fuzzy ordered weighted geometric operators are used to aggregate the Pythagorean hesitant fuzzy values. The main advantage of these operators is that they provide more accurate and valuable results. Furthermore, these operators are applied to decision-making problems in which experts provide their preferences in the Pythagorean hesitant fuzzy environment to show the validity, practicality, and effectiveness of the new approach. Finally, we compare the proposed approach to the existing methods. |
| Databáze: | OpenAIRE |
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