Aggregation of sequence of fuzzy measures
Publish place: Iranian Journal of Fuzzy Systems، Vol: 17، Issue: 6
Publish Year: 1399
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:
JR_IJFS-17-6_005
تاریخ نمایه سازی: 30 خرداد 1400
Abstract:
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 appropriatedparameters, 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.
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Authors
L. Nedovic
Department of Fundamentals Sciences, Faculty of Technical Sciences, University of Novi Sad, Novi Sad, Serbia
E. Pap
Department for Postgraduate Studies, Singidunum University, Belgrade, Serbia