Microsoft Word ijbpm190205 schmidt no downsample previously stasak

J. Stašák and P. Schmidt

When looking at formula (13), the subset denoted as [? 3]} might be replace by {[Res12 
(I
1
)]} linguistic set and the above-mentioned formula might be converted into formula 
(14).
CB(0,1)⇒[Y
Totfin
Assetst
]
α
1 
= KPI (0,1) = {[Y
Totfin
Assetst
]
α
1
, {Res1[(I1)]},{[Res12 (I1)]} (15)
The answers related to questions “How to determine a content of subsets [? 1]. [? 2] and 
[? 3] represent an algorithm, which helps us to determine, which types and classes of 
products enable achieving pre-defined assets, when operating the core business process 
CB (0, 1) and what about type of costs are necessary for those purposes.
When looking at formula (15), we can see a way, how to decompose the KPI (0, 1) 
indicator assigned to core business process CB (0,1) containing a pre-defined value of 
assets into set of product types and classes with adequate costs needed for achievement of 
the above-mentioned pre-defined assets. However, those types of information might be a 
very useful aid for making decisions at business strategy level as well. This algorithm is 
denoted as KPI Decomposition Algorithm or KPI-DA algorithm.
4.3 
Simulation Capabilities within Business Strategy Creation
  
There are more various aspects, which play a role of significant importance, when creating 
business strategy for actual firm or company and might be postulated as follows: (a) 
market research results, (b) internal resource capabilities and (c) performance of superior 
and subordinated core business processes. Therefore the approach with considering 
performance of superior and subordinated core business processes might be applied, when 
creating the abovementioned strategy:
4.3.1 
Approach with considering performance of superior and subordinated 
core business processes
  
The is based on marketing research results and the firm or company internal resource 
capability judgement, while the marketing research results are represented by Product 
Type or Class pieces and potential (estimated) assets. The Product Type or Class pieces 
create an integral part of {[n
pr
(j', k
3
)]} linguistic set, where j' =1…n is a serial number of 
Product Type or Class and k
3 
is a number of the Product Type or Class pieces and the 
estimated assets create content of [E
Anp
(j', k
2
)] linguistic set. However, the costs needed 
for providing the numbers of appropriate Product Type or Class pieces play a role of 
principal importance as well, while the [C
Cnp
(i, j)] linguistic set, the elements of which 
represent the cost items is an integral part of the {Cpt (i,j)} too. In order to evaluate the 
marketing research results, we have to determine the content of [C
Assetspr
(j', k
1
)], [E
Anp
(j', 
k
2
)] and [C
Assetspr 
[(j', k
4
)] linguistic sets, while the [C
Assetspr
(j', k
1
)] linguistic set content 
is closely related to preliminary calculated assets concerned the abovementioned Product 
Type or Class pieces, the [E
Anp
(j', k
2
)] linguistic set content is closely related to estimated 
assets concerned the above-mentioned Product Type or Class pieces and [C
Assetspr 
[(j', k
4
)] 
linguistic set content is closely related to really calculated assets concerned the above-
mentioned Product Type or Class pieces. With respect to those issues formula (16) might 
be postulated
{Cpt (i, j)} = {[C
Cnp
(i, j)], [C
Assetspr
(j', k
1
)], [E
Anp
(j', k
2
)], [C
Assetspr 
[(j', k
4
)] } (16)
However, the {Cpt (i, j)} linguistic set represents the set of inputs for further 
considerations as well. Furthermore, let us consider the superior core business process, 
which consist of three subordinated core business processes and is represented by 
linguistic set {[
CB
(0, 0)]}

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