Continuity of super-and sub-additive transformations of continuous functions

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Seliga A.; Siran J.

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Journal Paper

Paper Information

Journal: Iranian Journal of Fuzzy Systems Year:2020 | Volume:17 | Issue:2 Page(s): 165-168

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Information Journal Paper

Title

Continuity of super-and sub-additive transformations of continuous functions

Author(s)

Seliga A. | Siran J. | Issue Writer Certificate

Keywords

Super-additive transformationQ2

sub-additive transformationQ2

continuity inheritanceQ2

aggregation function.2010 MSC:26B05Q2

Abstract

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.

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APA: Copy

Seliga, A., & Siran, J.. (2020). Continuity of super-and sub-additive transformations of continuous functions. IRANIAN JOURNAL OF FUZZY SYSTEMS, 17(2 ), 165-168. SID. https://sid.ir/paper/386536/en

Vancouver: Copy

Seliga A., Siran J.. Continuity of super-and sub-additive transformations of continuous functions. IRANIAN JOURNAL OF FUZZY SYSTEMS[Internet]. 2020;17(2 ):165-168. Available from: https://sid.ir/paper/386536/en

IEEE: Copy

A. Seliga, and J. Siran, “Continuity of super-and sub-additive transformations of continuous functions,” IRANIAN JOURNAL OF FUZZY SYSTEMS, vol. 17, no. 2 , pp. 165–168, 2020, [Online]. Available: https://sid.ir/paper/386536/en

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