Mathematics and Statistics Vol. 10(5), pp. 1089 - 1104
DOI: 10.13189/ms.2022.100519
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An Approach to the Evaluation of the Overall Performance with Efficiency Measurements by Means of an Efficiency Evaluation Chain Using DEA and Fuzzy DEA

Blerta (Kristo) Nazarko ^1,*, Ditila Ekmekçiu ^2
1 Department of CIRD Engineering, Faculty of Engineering, Canadian Institute of Technology, Tirana, Albania
² Department of Business Administration & IT, Faculty of Economy, Canadian Institute of Technology, Tirana, Albania

ABSTRACT

In this paper, we will give an approach to the performance evaluation and efficiency value measurements where the gathered real data form a "time series" along a certain period of time (t). Along with the use of the basic models of DEA (Data Envelopment Analysis) method in joint cooperation with Fuzzy DEA models, the impact of the variable factors on DMU's (Decision Making Units) inefficiencies, performance evaluation and ranking is studied by accepting the t period of time as a discreet variable and as a unique "moment". This is determined by the objectives given by the CSAM (Connoisseur-study-analysis model) viewpoint in order to form the most real tableau of the DMUs' performance evaluation by means of an efficiency evaluation chain. For the evaluation of performance as a competitive process, 17 countries from the macroeconomic and financial environment are included (countries from the Western Balkans, the EU, and other countries). The study – a knowledge analysis – is also developed as issues of economic optimization portfolio by going through two steps: First step – (time as a discreet variable) evaluation of DMU's performance by measuring and analysing the efficiency value in the economic environment, with defined goals and criteria, where the concept of differences "deviation" elasticity coefficient (differences between Ef-VRS and Ef-CRS) is also included at the efficiency levels for the inefficient DMUs during the period of time 't'; Second step – (the period of time as a unique "moment") where is operated using the Fuzzy DEA model approach (α-cut) and the coordination of both steps with the DMUs' performance ranking. In addition, the study investigates the impact of the correlative relations between the variables to the DMUs' efficiency values during the evaluation of their performance. The gained results through the methodology followed in this study will give a more real tableau in the study of the performance evaluation and the connoisseur analysis of the DMUs' efficiency value, based on the real data gathered during the period of time (t) ϵ (2015-2019).

KEYWORDS
Efficiency Value Connoisseur- Analysis, "Time Series", Correlation, DEA, Fuzzy DEA

Cite This Paper in IEEE or APA Citation Styles
(a). IEEE Format:
[1] Blerta (Kristo) Nazarko , Ditila Ekmekçiu , "An Approach to the Evaluation of the Overall Performance with Efficiency Measurements by Means of an Efficiency Evaluation Chain Using DEA and Fuzzy DEA," Mathematics and Statistics, Vol. 10, No. 5, pp. 1089 - 1104, 2022. DOI: 10.13189/ms.2022.100519.

(b). APA Format:
Blerta (Kristo) Nazarko , Ditila Ekmekçiu (2022). An Approach to the Evaluation of the Overall Performance with Efficiency Measurements by Means of an Efficiency Evaluation Chain Using DEA and Fuzzy DEA. Mathematics and Statistics, 10(5), 1089 - 1104. DOI: 10.13189/ms.2022.100519.