Some picture fuzzy mean operators and their applications in decision-making
| Autor: | Hasan Mohammad Kamrul, Ali Md. Yasin, Sultana Abeda, Mitra Nirmal Kanti |
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| Jazyk: | angličtina |
| Rok vydání: | 2022 |
| Předmět: | |
| Zdroj: | Journal of Fuzzy Extension and Applications, Vol 3, Iss 4, Pp 349-361 (2022) |
| Druh dokumentu: | article |
| ISSN: | 2783-1442 2717-3453 |
| DOI: | 10.22105/jfea.2022.341302.1219 |
| Popis: | Picture fuzzy set is the generalization of fuzzy set and intuitionistic fuzzy set. It is useful for handling uncertainty by considering the positive membership, neutral membership and negative membership degrees independently for each element of a universal set. The main objective of this article is to develop some picture fuzzy mean operators, including Picture Fuzzy Harmonic Mean (PFHM), Picture Fuzzy Weighted Harmonic Mean (PFWHM), Picture Fuzzy Arithmetic Mean (PFAM), Picture Fuzzy Weighted Arithmetic Mean (PFWAM), Picture Fuzzy Geometric Mean (PFGM) and Picture Fuzzy Weighted Geometric Mean (PFWGM), to aggregate the picture fuzzy sets. Moreover, we discuss some relevant properties of these operators. Furthermore, we apply these mean operators to make decisions with practical examples. Finally, to show the efficiency and the validity of the proposed operators, we compare our results with the results of existing methods and concluded from the comparison that our proposed methods are more effective and reliable. |
| Databáze: | Directory of Open Access Journals |
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