## 2 Related Work
In inter-industry matrix A, column entries typically represent inputs to an industrial sector, while row entries represent outputs from a given sector. Therefore, the matrix is often referred to as the consumption matrix (Equations (1) and (2)). The coefficients in row one correspond to industry 1, and the coefficients in row two are the amounts necessary for industry 2 to produce something. Therefore, this format shows how dependent each sector is on every other sector, both as a customer of outputs from other sectors and as a supplier of inputs [22]. A mathematical representation of the I/O model is given in Equation (1):  
\[\mathrm{x}= \begin{vmatrix}x_{1}\\ \cdot\\ x_{n}\end{vmatrix} ;\ \mathrm{c}= \begin{vmatrix}c_{1}\\ \cdot\\ c_{n}\end{vmatrix} ;\ \mathrm{I}= \begin{vmatrix}1&0&0&0\\ 0&1&0&0\\ 0&0&1&0\\ 0&0&0&1\end{vmatrix} ; \tag{1}\]  
\[\mathrm{A}= \begin{vmatrix}a_{11}&\cdot&\cdot&a_{1n}\\ \cdot&\cdot&\cdot&\cdot\\ \cdot&\cdot&\cdot&\cdot\\ a_{n1}&\cdot&\cdot&a_{nn}\end{vmatrix} ; \tag{2}\]  
\[Ax+c=x;\ (I-A)x=c;\ \mathrm{x}=(I-A)^{-1}c \tag{3}\]  
Equation (1) Mathematical representation of the I/O model. According to the author of [19], economic simulation models such as the I/O model can be used directly in the assessment of the effects on income and employment by changing the level of business activity (e.g., industry closings or openings), and with \"demand translator\" (budget breakdown) tools, to assess the effects of changes in spending (for example, tourism or construction activities). However, I/O models are flawed because they do not cover dynamic influences over time. Simulation models, such as I/O models, can be directly applied to assess the effects of changes in income induced by changes in business location and/or industrial activities. The authors of [23] described the multipliers generated by the regional (I/O) model. Regional I/O multipliers measure the goods and products of each industry and the use of these goods from other industries and end users. Regional I/O multipliers provide information on inter-industrial relations and changes in demand in the industrial sector of the region. The input-output model (I/O) of economics uses a matrix representation of a region's economy. To assess the economic impact, the authors of the Australian Institute for Social Research recommend the RISE v3.0 model [24]. Rise v3.0 is a model created in Microsoft Excel, designed to help regional analysts understand the structure of the regional economy and assess the economic impact of changes in the region. The RISE v3.0 model is a standard input-output (I/O) model expanded to measure the impact of growth or decline in employment on the population of the region. The model has three functions:  
1. Describe the industry structure;
2. Measure regional economic impact;
3. Provide an input-output table and multipliers for the region. The model can be used to assess the impact of final consumption on the economy of the region over a period of ten years. The model can simulate the launch of new industries and their impact on the region. As well as ontology-driven models for decision-making problems, different MCDM techniques have been study topics since the 1960s. All decision-making problems, as is the case with strategic planning, often need to take into account large quantities of input information, multiple alternatives, and different objectives. The authors of [25] stated that theoretical approaches to multicriteria decision-making problems have been adapted to practical application through multicriteria decision analysis (MCDA). Common steps in the first stage of MCDM are to:  
* Identify objectives, criteria, or topics of relevance to the decision;
* Identify and select stakeholders;
* Identify and/or develop alternatives;
* Weigh criteria and/or define the hierarchy of objectives;
* Iterate if necessary (reviewing all items above). One of the most accepted MCDM techniques is the Analytical Hierarchy Process (AHP) [26; 27].