کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4943774 | 1437710 | 2017 | 11 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Properties of extremal families of MN-convex (MN-concave) functions
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
مهندسی کامپیوتر
هوش مصنوعی
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
In this paper MN-convex and MN-concave functions are examined and compared for particular cases of M and N. Characterization of pairs M,N for the family of MN-convex (MN-concave) functions consisting of all functions and partial characterization of pairs M,N for the family of MN-convex functions consisting of all constant functions will be presented. The condition of MN-convexity was proposed by Aumann in 1933. It was convexity with respect to arbitrary binary means M and N (abbreviated to MN-convexity). Recently many authors have considered this notion with suitable pairs of means. Here aggregation functions M,N will be used for this type of convexity and concavity.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Fuzzy Sets and Systems - Volume 325, 15 October 2017, Pages 47-57
Journal: Fuzzy Sets and Systems - Volume 325, 15 October 2017, Pages 47-57
نویسندگان
Urszula Bentkowska, Susana DÃaz, Józef Drewniak, VladimÃr JaniÅ¡, Susana Montes,