Some picture fuzzy mean operators and their applications in decision-making
عنوان مقاله: Some picture fuzzy mean operators and their applications in decision-making
شناسه ملی مقاله: JR_JFEA-3-4_007
منتشر شده در در سال 1401
شناسه ملی مقاله: JR_JFEA-3-4_007
منتشر شده در در سال 1401
مشخصات نویسندگان مقاله:
Mohammad Kamrul Hasan - Department of Mathematics, Jahangirnagar University, Savar, Bangladesh.
Md. Yasin Ali - Faculty of Science and Engineering, University of Information Technology & Sciences, Dhaka, Bangladesh.
Abeda Sultana - Department of Mathematics, Jahangirnagar University, Savar, Bangladesh.
Nirmal Kanti Mitra - Department of Mathematics and Statistics, Bangladesh University of Business and Technology, Dhaka, Bangladesh.
خلاصه مقاله:
Mohammad Kamrul Hasan - Department of Mathematics, Jahangirnagar University, Savar, Bangladesh.
Md. Yasin Ali - Faculty of Science and Engineering, University of Information Technology & Sciences, Dhaka, Bangladesh.
Abeda Sultana - Department of Mathematics, Jahangirnagar University, Savar, Bangladesh.
Nirmal Kanti Mitra - Department of Mathematics and Statistics, Bangladesh University of Business and Technology, Dhaka, Bangladesh.
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.
کلمات کلیدی: Picture Fuzzy Set, Harmonic mean operator, Arithmetic mean operator, Geometric mean operator
صفحه اختصاصی مقاله و دریافت فایل کامل: https://civilica.com/doc/1541354/