Let (tilde{E}_{ij} ) be the aggregated information of the effective control scope.
First, they are asked to define the effective control scope of the four emergency alternatives mentioned above.
According to the RP (bar{{R}}_j ) and the effective control scope (E_{ij} ) of emergency alternatives, gains and losses can be obtained.
The five dimensions of a business model (customer selection, value capture, differentiation and strategic control, scope, and channels) are linked as an integrated design.
(E_{ij} =left[ {E_{ij}^L,E_{ij}^U } right] ): be an interval value, where (E_{ij} ) denotes the effective control scope [37] over the i-th alternative with respect to the j-th criterion.
Step 4: Based on step 3, the lower bound (E_{ij}^L ) and upper bound (E_{ij}^U ) of the effective control scope (E_{ij}) can be calculated by Eqs.
For the effective control scope (E_{ij} ) of alternatives, letxbe an arbitrary value in interval number ([E_{ij}^L,E_{ij}^U ]), regarded as a random variable with uniform distribution [11].
Based on the data (bar{{c}}_{j }^h (a_i )) in Table 5, the HFEs (bar{{c}}_j (a_i )) can be obtained and the effective control scope for the alternatives with respect to different criteria can be calculated by Eqs.
In order to make a validity comparison between the results of the two different methods, the (bar{{c}}_1^h (a_i )) will be utilized to generate the effective control scope (tilde{E}_{ij} ), where (tilde{E}_{ij} =frac{1}{3}sum _{bar{{c}{bar{{c}}_{j }^h (a_i )} ).
Based on information (c_{j }^h (a_i )) provided by experts, the preference of experts (bar{{c}}_{j }^h (a_i )) of effective control scope of the i-th alternative with respect to the j-th criterion can be calculated by Eq. (3): begin{aligned} bar{{c}}_{j }^h (a_i )=frac{c_{j }^h (a_i )}{max left{ {mathop {max }limits _h c_{j }^h (a_i )} right} },quad j=1,2,ldots J end{aligned} (3).
