Target-environment networks provide a conceptual framework for the analysis and prediction of complex regulatory systems such as genetic networks, eco-finance networks or sensor-target assignments. These evolving networks consist of two major groups of entities that are interacting by unknown relationships. The structure and dynamics of the hidden regulatory system have to be revealed from uncertain measurement data. In this paper, the concept of fuzzy target-environment networks is introduced and various fuzzy possibilistic regression models are presented. The relation between the targets and/or environmental entities of the regulatory network is given in terms of a fuzzy model. The vagueness of the regulatory system results from the (unknown) fuzzy coefficients. For an identification of the fuzzy coefficients’ shape, methods from fuzzy regression are adapted and made applicable to the bi-level situation of target-environment networks and uncertain data. Various shapes of fuzzy coefficients are considered and the control of outliers is discussed. A first numerical example is presented for purposes of illustration. The paper ends with a conclusion and an outlook to future studies.

Accepted:

DOI: 10.1051/ro/2015044

Keywords: Fuzzy evolving networks, fuzzy target-environment networks, uncertainty, fuzzy theory, fuzzy regression analysis, possibilistic regression, forecasting

^{1}; Özmen, Ayşe

^{2}; Weber, Gerhard-Wilhelm

^{2}; Meyer-Nieberg, Silja

^{3}; Defterli, Ozlem

^{4}

@article{RO_2016__50_2_413_0, author = {Kropat, Erik and \"Ozmen, Ay\c{s}e and Weber, Gerhard-Wilhelm and Meyer-Nieberg, Silja and Defterli, Ozlem}, title = {Fuzzy prediction strategies for gene-environment networks {\textendash} {Fuzzy} regression analysis for two-modal regulatory systems}, journal = {RAIRO - Operations Research - Recherche Op\'erationnelle}, pages = {413--435}, publisher = {EDP-Sciences}, volume = {50}, number = {2}, year = {2016}, doi = {10.1051/ro/2015044}, zbl = {1357.92032}, mrnumber = {3479880}, language = {en}, url = {http://archive.numdam.org/articles/10.1051/ro/2015044/} }

TY - JOUR AU - Kropat, Erik AU - Özmen, Ayşe AU - Weber, Gerhard-Wilhelm AU - Meyer-Nieberg, Silja AU - Defterli, Ozlem TI - Fuzzy prediction strategies for gene-environment networks – Fuzzy regression analysis for two-modal regulatory systems JO - RAIRO - Operations Research - Recherche Opérationnelle PY - 2016 SP - 413 EP - 435 VL - 50 IS - 2 PB - EDP-Sciences UR - http://archive.numdam.org/articles/10.1051/ro/2015044/ DO - 10.1051/ro/2015044 LA - en ID - RO_2016__50_2_413_0 ER -

%0 Journal Article %A Kropat, Erik %A Özmen, Ayşe %A Weber, Gerhard-Wilhelm %A Meyer-Nieberg, Silja %A Defterli, Ozlem %T Fuzzy prediction strategies for gene-environment networks – Fuzzy regression analysis for two-modal regulatory systems %J RAIRO - Operations Research - Recherche Opérationnelle %D 2016 %P 413-435 %V 50 %N 2 %I EDP-Sciences %U http://archive.numdam.org/articles/10.1051/ro/2015044/ %R 10.1051/ro/2015044 %G en %F RO_2016__50_2_413_0

Kropat, Erik; Özmen, Ayşe; Weber, Gerhard-Wilhelm; Meyer-Nieberg, Silja; Defterli, Ozlem. Fuzzy prediction strategies for gene-environment networks – Fuzzy regression analysis for two-modal regulatory systems. RAIRO - Operations Research - Recherche Opérationnelle, Volume 50 (2016) no. 2, pp. 413-435. doi : 10.1051/ro/2015044. http://archive.numdam.org/articles/10.1051/ro/2015044/

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