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Continuity of super- and sub-additive transformations of continuous functions | ||
Iranian Journal of Fuzzy Systems | ||
مقاله 13، دوره 17، شماره 2، خرداد و تیر 2020، صفحه 165-168 اصل مقاله (281.87 K) | ||
نوع مقاله: Research Paper | ||
شناسه دیجیتال (DOI): 10.22111/ijfs.2020.5226 | ||
نویسندگان | ||
A. Seliga* ؛ J. Siran | ||
Faculty of Civil Engineering, Slovak University of Technology, Bratislava, Slovakia | ||
چکیده | ||
We prove a continuity inheritance property for super- and sub-additive transformations of non-negative continuous multivariate functions defined on the domain of all non-negative points and vanishing at the origin. As a corollary of this result we obtain that super- and sub-additive transformations of continuous aggregation functions are again continuous aggregation functions. | ||
کلیدواژهها | ||
Super-additive transformation؛ sub-additive transformation؛ continuity inheritance؛ aggregation function | ||
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