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Aggregation of fuzzy metrics and its application in image segmentation | ||
| Iranian Journal of Fuzzy Systems | ||
| مقاله 3، دوره 19، شماره 3، مرداد و شهریور 2022، صفحه 19-37 اصل مقاله (640.64 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22111/ijfs.2022.6941 | ||
| نویسندگان | ||
| N. M. Ralevic؛ M. Delic؛ Lj. Nedovic* | ||
| University of Novi Sad, Faculty of Technical Sciences, Department of Fundamentals Sciences, Trg Dositeja Obradovica 6, 21000 Novi Sad, Serbia | ||
| چکیده | ||
| This paper proposes a novel method for the construction of a fuzzy metrics and demonstrates application in image segmentation. Some new properties of t-norms, t-conorms, aggregation functions, and fuzzy metrics are proved, which provides the procedures for constructing a new fuzzy metric. We prove that by applying some types of t-norms, t-conorms and aggregation functions on the sequence of fuzzy metrics, a new fuzzy metric could be obtained. The application of the fuzzy metric constructed in this way is illustrated in image segmentation by using the \textsf{FCM} algorithm. For the purpose of constructing a new fuzzy metric, an extended aggregation function called generalized quasi-arithmetic mean is considered. | ||
| کلیدواژه‌ها | ||
| Aggregation functions؛ distance function؛ fuzzy metric؛ image segmentation؛ triangular conorms؛ triangular norms | ||
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آمار تعداد مشاهده مقاله: 178 تعداد دریافت فایل اصل مقاله: 212 |
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