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A method for ranking Z-numbers | ||
| Journal of New Researches in Mathematics | ||
| مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 02 بهمن 1401 | ||
| نوع مقاله: research paper | ||
| شناسه دیجیتال (DOI): 10.30495/jnrm.2023.63654.2161 | ||
| نویسندگان | ||
Zeinab Motamedi pour1؛ Tofigh Allahviranloo 2؛ Mozhdeh Afshar kermani  3؛ Saeid abbasbandy 4
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| 1Science and research branch ,Islamic Azad university | ||
| 2member of faculty , Science and research branch Islamic Azad university | ||
| 3North Tehran Branch,Islamic Azad university | ||
| 4Imam Khomeini International University | ||
| چکیده | ||
| Ranking generalized Z-numbers plays an important role in many applied models and, in particular, decision-making procedures. On the other hand, it can be seen that the definitive process of comparing a real number and a Z-number has not been done so far. In this paper, we propose for the first time a method for comparing a real number with a Z-number with a degree of accuracy between zero and one. In fact, an index is proposed to rank a real number and a Z-number. Then, we extend this index to rank two Z-numbers based on the concept of comparison accuracy and center of gravity. We also provide the features of the proposed method. The advantage of our method is that it can accurately compare a real number and a Z-number as well as two Z-numbers. Also, a definition for definitive comparison is provided. Finally, in a few examples, the results obtained from our proposed method are compared with the results obtained from some existing ranking methods. | ||
| کلیدواژهها | ||
| Z-numbers؛ fuzzy numbers؛ Ranking | ||
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آمار تعداد مشاهده مقاله: 150 |
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