A note on a generalized Frank functional equation

Susanne Saminger-Platz; Anna Kolesárová; Radko Mesiar; Erich Klement

doi:10.1016/j.fss.2017.01.005

A note on a generalized Frank functional equation

Susanne Saminger-Platz, Anna Kolesárová, Radko Mesiar, Erich Klement

Institute for Mathematical Methods in Medicine and Data Based Modeling

Research output: Contribution to journal › Article › peer-review

Abstract

We study a generalized Frank functional equation in the broader framework of associative aggregation functions and show that, up to the two projections, we obtain exactly the same set of solutions as in the original paper by M. J. Frank (Aequationes Mathematicae 19, 1979).

Original language	English
Pages (from-to)	48-54
Number of pages	7
Journal	Fuzzy Sets and Systems
Volume	335
DOIs	https://doi.org/10.1016/j.fss.2017.01.005
Publication status	Published - 2018

Fields of science

101 Mathematics
101013 Mathematical logic
101024 Probability theory
102001 Artificial intelligence
102003 Image processing
102019 Machine learning
603109 Logic
202027 Mechatronics

JKU Focus areas

Computation in Informatics and Mathematics
Mechatronics and Information Processing
Nano-, Bio- and Polymer-Systems: From Structure to Function

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10.1016/j.fss.2017.01.005

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title = "A note on a generalized Frank functional equation",

abstract = "We study a generalized Frank functional equation in the broader framework of associative aggregation functions and show that, up to the two projections, we obtain exactly the same set of solutions as in the original paper by M. J. Frank (Aequationes Mathematicae 19, 1979).",

author = "Susanne Saminger-Platz and Anna Koles{\'a}rov{\'a} and Radko Mesiar and Erich Klement",

year = "2018",

doi = "10.1016/j.fss.2017.01.005",

language = "English",

volume = "335",

pages = "48--54",

journal = "Fuzzy Sets and Systems",

issn = "1872-6801",

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T1 - A note on a generalized Frank functional equation

AU - Saminger-Platz, Susanne

AU - Kolesárová, Anna

AU - Mesiar, Radko

AU - Klement, Erich

PY - 2018

Y1 - 2018

N2 - We study a generalized Frank functional equation in the broader framework of associative aggregation functions and show that, up to the two projections, we obtain exactly the same set of solutions as in the original paper by M. J. Frank (Aequationes Mathematicae 19, 1979).

AB - We study a generalized Frank functional equation in the broader framework of associative aggregation functions and show that, up to the two projections, we obtain exactly the same set of solutions as in the original paper by M. J. Frank (Aequationes Mathematicae 19, 1979).

UR - http://www.elsevier.com/locate/fss

U2 - 10.1016/j.fss.2017.01.005

DO - 10.1016/j.fss.2017.01.005

M3 - Article

SN - 1872-6801

VL - 335

SP - 48

EP - 54

JO - Fuzzy Sets and Systems

JF - Fuzzy Sets and Systems

ER -

A note on a generalized Frank functional equation

Abstract

Fields of science

JKU Focus areas

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