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Aggregation functions with given super-additive and sub-additive transformations

Kouchakinejad, Fateme; Šipošová, Alexandra and Širáň, Jozef (2017). Aggregation functions with given super-additive and sub-additive transformations. International Journal of General Systems, 46(3) pp. 225–234.

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DOI (Digital Object Identifier) Link: https://doi.org/10.1080/03081079.2017.1300586
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Abstract

Aggregation functions and their transformations have found numerous applications in various kinds of systems as well as in economics and social science. Every aggregation function is known to be bounded above and below by its super-additive and sub-additive transformations. We are interested in the “inverse” problem of whether or not every pair consisting of a super-additive function dominating a sub-additive function comes from some aggregation function in the above sense. Our main results provide a negative answer under mild extra conditions on the super- and sub-additive pair. We also show that our results are, in a sense, best possible.

Item Type: Journal Item
Copyright Holders: 2017 Informa UK Limited
ISSN: 1563-5104
Keywords: aggregation function; sub-additive and super-additive transformation
Academic Unit/School: Faculty of Science, Technology, Engineering and Mathematics (STEM) > Mathematics and Statistics
Faculty of Science, Technology, Engineering and Mathematics (STEM)
Item ID: 52815
Depositing User: Jozef Širáň
Date Deposited: 08 Jan 2018 10:03
Last Modified: 11 Jun 2020 19:11
URI: http://oro.open.ac.uk/id/eprint/52815
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