Problem Orientable Evaluations as
L-Subsets
Adalbert Kerber and Rainer Bruggemann
1 Evaluation
Evaluations using sequences of parameter values can be considered as sets over a
lattice (cf. (Bruggemann and Kerber 2018; Bruggemann et al. 2011; Kerber 2006,
2017; Pollandt 1997)). An example is G. Restrepo’s evaluation (Restrepo 2008)
of 40 refrigerants using the parameters ODP (ozone depletion potential), GWP
(general warming potential) and ALT (atmospheric life time). The parameters were
normalized, i.e. their values were elements of the interval [0,1] and therefore the
lattice containing these triples of parameter values is L = [0,1] 3 . With a refrigerant
ref he associated the following triple of real numbers between 0 and 1:
(ODP (ref ); GW P (ref ); ALT (ref )) ∈ [0, 1]
3 .
Examples of such triples that he obtained are
refrigerants values of (ODP; GWP; ALT)
ref 1
(0.19607843; 0.31621622; 0.01406219)
ref 2
(0.16078431; 0.72432432; 0.0312497)
ref 3
(0.00980392; 0.12027027; 0.00374969)
ref 4 ...
(0.00431373; 0.00513514; 0.00040594)
A. Kerber
Department of Mathematics, University of Bayreuth, Bayreuth, Germany
e-mail: kerber@uni-bayreuth.de
R. Bruggemann ()
Leibniz-Institute of Freshwater Ecology and Inland Fisheries, Berlin, Germany
e-mail: brg_home@web.de
© The Author(s), under exclusive license to Springer Nature Switzerland AG 2021
R. Bruggemann et al. (eds.), Measuring and Understanding Complex Phenomena,
https://doi.org/10.1007/978-3-030-59683-5_6
83