Aggregation of sequence of fuzzy measures

	Aggregation of sequence of fuzzy measures
Iranian Journal of Fuzzy Systems
دوره 17، شماره 6، بهمن و اسفند 2020، صفحه 39-55 اصل مقاله (417.92 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22111/ijfs.2020.5600
نویسندگان
L. Nedovic^* ¹؛ E. Pap²
¹Department of Fundamentals Sciences, Faculty of Technical Sciences, University of Novi Sad, Novi Sad, Serbia
²Department for Postgraduate Studies, Singidunum University, Belgrade, Serbia
چکیده
In this paper we present construction of new fuzzy measures by applying extended aggregation function on a sequence of fuzzy measures. According to properties of applied aggregation function and properties of initial fuzzy measures, some properties of constructed fuzzy measure are proved. Additionally, one new extended aggregation function named extended weighted arithmetic mean of distorted arguments is introduced, and its relevant properties are proved. It is shown that this extended aggregation function, with appropriated parameters, can be suitable for construction of new fuzzy measures. Other types of non-additive measures can be constructed in the same way, by applying aggregation function on the initial sequence of non-additive measures.
کلیدواژه‌ها
Fuzzy measure؛ non-additive measure؛ aggregation function

آمار تعداد مشاهده مقاله: 907 تعداد دریافت فایل اصل مقاله: 694

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