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Super- and sub-additive envelopes of aggregation functions: interplay between local and global properties, and approximation

Širáň, Jozef (2018). Super- and sub-additive envelopes of aggregation functions: interplay between local and global properties, and approximation. Iranian Journal of Fuzzy Systems, 15(7) pp. 13–21.

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Abstract

Super- and sub-additive transformations of aggregation functions have been recently introduced by Greco, Mesiar, Rindone and Sipeky [The superadditive and the subadditive transformations of integrals and aggregation functions, Fuzzy Sets and Systems 291 (2016), 40{53]. In this article we give a survey of the recent development regarding the existence of aggregation functions with a preassigned super- and sub-additive transformation, and address approximation of these transformations. The underpinning feature of the presented results is dependence of global properties of super- and sub-additive transformations on local properties of aggregation functions. [brace not closed]

Item Type: Journal Item
ISSN: 1735-0654
Project Funding Details:
Funded Project NameProject IDFunding Body
Not SetAPVV-15-0220Slovak Research Grants
Not SetVEGA 1/0026/16Slovak Research Grants
Not SetVEGA 1/0142/17Slovak Research Grants
Keywords: aggregation function; super- and sub-additive transformation; approximation
Academic Unit/School: Faculty of Science, Technology, Engineering and Mathematics (STEM) > Mathematics and Statistics
Faculty of Science, Technology, Engineering and Mathematics (STEM)
Item ID: 55024
Depositing User: Jozef Širáň
Date Deposited: 10 May 2018 11:54
Last Modified: 12 Jun 2020 09:38
URI: http://oro.open.ac.uk/id/eprint/55024
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