# Design of Prediction System for Key Performance Indicators in Balanced Scorecard

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2 potentially frequent one (denoted Ck, where k is the size of the itemset). 2.2 logic Logic was initiated in 1965 [9] by Lotfi A. Zadeh, professor for computer science at the University of California in Berkeley. Basically, Logic is a multivalued logic that allows intermediate values to be defined between conventional evaluations like true/false, yes/no, high/low, etc. Notions like rather tall or very fast can be formulated mathematically and processed by computers, in order to apply a more human-like way of thinking in the programming of computers. The fuzzy rules and the combination of the results of the individual rules are performed using fuzzy set operations as in table 1. Table 1, Set Operations And method Or method Implication Aggregation Defuzzification Min Max Min Max Centroid 2.3 Artificial Neural Network:- The artificial neural network (ANN), often just called a "neural network" (NN), is a mathematical model or computational model based on biological neural networks. In other words, it is an emulation of biological neural system. It consists of an interconnected group of artificial neurons and processes information using a connectionist approach to computation. In most cases, an ANN is an adaptive system that changes its structure based on external or internal information that flows through the network during the learning phase [10]. 2.4 Decision Tree Decision trees are built of nodes, branches and leaves that indicate the variables, conditions, and outcomes, respectively. The most predictive variable is placed at the top node of the tree. The operation of decision trees is based on the C4.5 algorithms. C4.5 adopts greedy approach in which decision trees are constructed in a top- down recursive divide and conquer manner. 3. PROPOSED APPROACH It is required to predict KPI values depending on relations between KPIs inside BSC. We propose an approach illustrated as in figure 1. In the first phase, we gather all the relations between KPIs using association rules. On the one hand, we use these rules with to predict KPI values. In parallel, we predict KPIs values by Neural Network. After that, we fuse the prediction results using C4.5 Decision tree. As shown in figure 1, our proposed solution includes the following components: 3.1 Discovery of Association Rules Define Status Status is an indication, which shows the region that the KPI falls in. As in Table 2, Alarm is a KPI s warning value. Target is the level of performance or rate of improvement required for a particular KPI. Stretch Target is an extreme KPI accomplishment that must be marked and analyzed as being either exceptional performance or a case that requires further investigation. The status falls in one of the regions shown in table 2. KPI Define Status Status Discover Association Rules (Using in predication) Predict using Neural Network Rules Fuzzify Input Set Predict using Inference Engine Output Set Defuzzify Data fusion using Decision Tree Accurate Fig.1 is a Block Diagram for proposed approach. Table 2, Status Definitions Red In the alarm zone 11

3 Yellow Green Blue Between alarm and target Equal or Exceed target Equal or Exceed Stretched target In this phase, we translate the value to its related status. It is important to note that the targets and alarms can be changed from a year to another and hence all statuses will differ upon that. So, the value of a KPI can be interpreted into different statuses from a year to another according to the settled targets and alarms. Inputs to this phase are values. Outputs are Status Discover Association Rules We use Apriori association rules algorithm to predict KPI status. The Apriori Algorithm can be used to generate all frequent itemset. Therefore, we can predict all the KPIs status. As for the business rule in strategy maps the objective and KPIs in a perspective can be affected by the objectives and KPIs in the lower perspectives, not in the higher. The inputs to this phase are status, the outputs are rules. 3.2 Prediction Using Logic Fuzzify The process of fuzzy logic is a crisp set of input data KPIs values that are gathered and converted to a fuzzy set using fuzzy linguistic variables, fuzzy linguistic terms and membership functions. Inputs to this phase are the values. Outputs are the fuzzy inputs set Predict Using Inference Engine The output rules from discover Association are used as rules to logic. It is necessary to construct the membership functions. We design them as shown in figure 2. Each range has known boundaries so there are no inferences between these ranges. On the one hand, the Red is drawn as a triangular. When the Red decreases, this value goes away from the alarm zone. The yellow also is drawn as a triangular. When the yellow decreases, this value goes away from the target zone. On the other hand, the Green zone is drawn as a triangular. When the Green increases, the value gets close to the target zone. The Blue is drawn as a triangular. When the blue increases, the value gets close to the Stretch target zone. Red Yellow Green Blue function of the output variable. The inputs to this phase are the fuzzy outputs set; the outputs are the predicted values. 3.3 Prediction Using Neural Network In this phase, we discover how KPI shows tomorrow. We use neural networks. Such prediction does not consider the nature of KPI in the BSC from values and status. It depends on KPI values only and neglect KPI status. In that way, Prediction using Neural Network loses the benefit in the BSC business meaning and it gets predication from only one perspective. Hence, in this phase considering the nature of KPI in the BSC from values is our target. Inputs to this phase are values, Outputs are values. 3.4 Data fusion using decision tree, We enhance the output by taking the output from normal prediction (neural network) result and fuzzy result, then fusing them using C4.5 decision tree. The inputs to this phase are the predicted values from both Neural Network Module and Logic Module. The outputs are the fused results that should be the most accurate prediction. 4 IMPLEMENTATION We have data set for a company in Egypt that used BSC framework decade ago. We implement our approach at Corporate Balanced Scorecard as in figure 3. It has more than 532 observations values for different KPIs. It is used to review and monitor the corporate objectives and KPIs. This BSC contains four perspectives. Finance perspective is the highest priority one that answers question on how the firm looks to shareholders. Customer perspective answers question on how customers see the firm. Operations Perspective answers question how well it manages its operational processes. Learning and Growth perspective answers question if the firm can continue to improve and create value. Perspective Finance Customer Fig.3, Corporate Balanced Scorecard Increase Market Share Operations Consumptions Rate Fig.2 Define type for Membership Functions. We convert the association rules to fuzzy rules. Rule base is constructed to control the output variable. Inputs to this phase are fuzzy inputs set and Rules, Outputs are fuzzy outputs set Defuzzify After the inference step, the overall result is a fuzzy value. This result should be defuzzified to obtain a final output. Defuzzification is performed according to the membership Learning and Growth Sustain Employee Loyalty The Corporate Balanced Scorecard depends on several perspectives. Every perspective includes several objectives. For example Finance perspective includes Increase profit objective. From Customer perspective the objective is to Increase market share and Improve customer satisfaction. From Operations perspective it is required and Consumptions Rate. Learning and 12

4 Growth Perspective includes Sustain Employee loyalty objective. These objectives are measured by several KPIs as in table 4: Monthly Shipping "Ton" compared to same month last year. This KPI is a measure for Increase profit objective. It shows how many tons are produced compared to the same month last year. Number of New Customers. This KPI is a measure for Increase Market Share objective. It shows the Number of New Customers. % of Orders Delivered on-time. This KPI is a measure for objective. It shows the percentage of Orders Delivered ontime. % Total Plant Waste. This KPI is a measure for objective. It shows percentage of Total Plant Waste in the manufactory process. Average Material Consumption "Kg/Ton produced". This KPI is a measure for Consumptions rate. It shows Average Material Consumption "Kg/Ton produced". Number of Employees Leaving. This KPI is a measure for Learning and Growth. It shows the loyalty of employees through measuring the number of employees leaving yearly. Table 4, the KPIs of s Our proposed system includes the following components: 4.1 Discovery of Association Rules. We run association rule Apriori Algorithm to discover the relations between KPIs. Apriori Algorithm uses status as Inputs. Below are samples of discovered rules:- IF Number of New Customers is in the Red Zone Then the " Monthly Shipping Ton compared to same month last year is in the Red Zone. Increase Market Share Consumptions Rate Learning and Growth KPI Monthly Shipping "Ton" compared to same month last year Number of New Customers % of Orders Delivered on-time % Total Plant Waste Average Material Consumption "Kg/Ton produced" Number Of Employees Leaving IF Number of New Customers is in the Blue Zone Then the Monthly Shipping Ton compared to same month last year is in the Blue Zone. IF % of Orders Delivered on-time is in the Blue Zone and % Total Plant Waste" is in the Yellow Zone Then the Monthly Shipping "Ton" compared to same month last year " is in the Blue Zone. IF Average Material Consumption "Kg/Ton produced" is in the Red Zone and Number of New Customers" is in the Yellow Zone Then the Monthly Shipping "Ton" compared to same month last year is in the Red Zone. From these rules the relations between objectives can be discovered and the strategy map can be redrawn as figure 4. Increase market share, Improve customer satisfaction and lead to Increase profit objective. Also Increase Machine and Consumptions Rate are lead to Improve customer satisfaction. Sustain Employee Loyalty supports Consumptions Rate. Perspective Finance Customer Operations Learning and Growth Fig.4, Corporate Balanced Scorecard Increase Market Share Sustain Employee Loyalty Consumption s Rate 4.2 Prediction using Now we have all the relations that discovered by association rules algorithm. We can use these relations as input rules to function. We have all KPIs status like Red, Yellow, Green and Blue. Also we have all KPIs values, so we can use both status and values as Inputs to fuzzy. For example to predict Monthly Shipping Ton compared to same month last year KPI we use the values for other KPIs after Fuzzification of them as Inputs to the rules Illustrated in the section Prediction using Neural Network We make value based predication using artificial neural network. Figure 5 shows Neural Network with four inputs and one hidden layer, which contains two nodes and one output. Predication using Neural Network has KPIs values as input and the predicated KPI value as output. 4.4 Data Fusion The results (predicted values) from Neural Network module and Module are fed to decision tree to generate the most accurate predication values as output. 13

5 Number of New Customers Produced % of Orders Delivered on-time % Total Plant Waste Average Martial Consumption Number of Employees Leaving 5 EVALUATION To study the effect of the proposed solution, we have a lot of KPIs and observation values. We repeat the above steps to predict others KPIs like the Number of the New Customers. Input KPIs are % of Orders Delivered on-time, % Total Plant Waste, Average Material Consumption "Kg/Ton produced", and the Number of Employees Leaving. We apply these scenarios on 25 BSCs. Every BSC contains from four to six objectives and KPIs on average. We use the rules discovered by the association rule as input to Algorithm then predict the values. Figure 6 displays the results. It shows that the average error of the prediction using fuzzy is 6.3 %. On the other hand the average error using Neural Network is 5.2 %. Finally the average error for the overall proposed system is 1.5 %. It is evident that our proposed system decreases the error significantly and improves the prediction accuracy. Average error for Prediction using Fig.5 KPIs with Neural network Average error for Prediction using Neural Network Monthly Shipping "Ton" compared to same month last year Average error for the Overall proposed system 6.3 % 5.2 % 1.5 % Fig 6: Comparing Average errors in all steps 6 CONCLUSIONS When we have a good predication system, it will be useful to help in the strategic management process. The proposed solution exploited the characteristics of BSC to develop integrated solution to find an accurate prediction for the KPIs. We propose a system composed of several modules. The Association rule and logic modules have an average error of 6.3%. When Neural Network module is used as value based prediction, the average error is 5.2%. The total average error became 1.5% after using data fusion to tune the output from both and Neural network Components. 7 REFERENCES [1] Leen Yu M and et al The e-balanced scorecard (e- BSC) for measuring academic staff performance excellence. Journal of Higher Education 2009; 57(6): [2] Alan Meekings, Steve Briault and Andy Neely How to avoid the problems of target-setting. Measuring Business Excellence, Vol. 15 Iss: 3, pp [3] Gomes R The Balanced Scorecard as a Performance Management Tool for Third Sector Organizations: the Case of [4] the Arthur Bernardes Foundation, Brazil. Brazilian Administration Review, Curitiba; 6(4), art. 5: [5] Zhang T and Gao L Study on the Application of Dynamic Balanced Scorecard in the Service Industry. IEEE [6] International Conference on Intelligent Computation Technology and Automation; 1: (20). [7] Amaratunga D and et al.2002 Application of the balanced score-card to develop a conceptual framework to measure facilities management performance within NHS facilities. International Journal of Health Care Quality Assurance; 15(4): [8] J. Shana and T. Venkatachalam. July 2011, Identifying Key Performance Indicators and Predicting the Result from Student Data, International Journal of Computer Applications ( ) Volume 25 No.9. [9] Alaa Hamouda, BSCBAS A Balanced Scorecard Based Appraisal System for improving software organizations performance. Journal of Software Maintenance and Evolution: Research and Practice, Willy Publisher, 30 JUL DOI: /smr1566. [10] Sanjeev Rao and Priyanka Gupta. JAN - March Implementing Improved Algorithm Over APRIORI Data Mining Association Rule Algorithm. INTERNATIONAL JOURNAL OF COMPUTER SCIENCE and TECHNOLOGY (IJCST), V 3. [11] M. Hellmann. March Logic Introduction. [12] YASHPAL SINGH and ALOK SINGH CHAUHAN Journal of Theoretical and Applied Information Technology. [13] ]Gaurav L. Agrawal and Prof. Hitesh Gupta, Optimization of C4.5 Decision Tree Algorithm for Data Mining Application; March 2013; International Journal of Emerging Technology and Advanced Engineering; Volume 3, Issue 3, March IJCA TM : 14

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