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Performance evaluation of sustainable projects: a possibilistic integrated novel analytic hierarchy process-data envelopment analysis approach using Z-Number information

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Abstract

Selecting a proper set of projects is an important issue to make crucial decisions for many project-oriented organizations enabling them to achieve their goals despite the existing operational constraints (resources, time, etc.) and competitive environments. Since the results and consequences of the selected projects have short-term and long-range effects on social, economic, and environmental conditions, sustainable development suggests considering both financial and non-financial factors simultaneously. Thus, paying attention to the principles of sustainable development and considering social and environmental criteria along with economic criteria will lead to proper selection of sustainable and balanced project portfolio. In this paper, first, the conventional sustainability criteria are identified and screened; afterward, the importance weights of them will be calculated using the Z-AHP approach. Then by utilizing the Z-DEA, the input and output sustainability criteria are identified and the efficiency of the undertaken projects is finally calculated. In this paper, the project efficiencies have been calculated once using the Z-DEA and once through the Z-AHP-DEA approach. The results show that when the importance weights of sustainability criteria obtained by the Z-AHP are being considered, it will affect the project efficiencies as well as the ranking of the projects and make it possible, to achieve a more effective solution applying the Z-AHP-DEA approach (modified importance weights are considered). The results of AHP, DEA, and AHP-DEA approaches have been compared with the results of certain and fuzzy conditions when the measure of expert opinions is calculated by Z-Number. It has been depicted that by shifting from certainty to uncertainty (certainty, fuzzy, Z-Number (fuzzy considering probability)) the answers get more effective and realistic and it also demonstrates that the proposed Z-AHP-DEA can be used for ranking of projects as a reliable approach.

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Correspondence to Ali RezaHoseini.

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Appendices

Appendix 1

Tables

Table 27 Pairwise comparison matrix of the sustainability dimensions with respect to the Goal

27,

Table 28 Pairwise comparison matrix for the criteria with respect to the economic dimension

28,

Table 29 Pairwise comparison matrix for the criteria with respect to the social dimension

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Table 30 Pairwise comparison matrix for the criteria with respect to the environment dimension

30,

Table 31 Fuzzy pairwise comparison matrix of the sustainability dimensions with respect to the Goal

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Table 32 Fuzzy pairwise comparison matrix for the criteria with respect to the economic dimension

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Table 33 Fuzzy Pairwise comparison matrix for the criteria with respect to the social dimension

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Table 34 Fuzzy pairwise comparison matrix for the criteria with respect to the environment dimension

34.

Table 35 Fuzzy pairwise comparison matrix of the sustainability dimensions with respect to the Goal

35,

Table 36 Fuzzy pairwise comparison matrix for the criteria with respect to the economic dimension

36,

Table 37 Fuzzy Pairwise comparison matrix for the criteria with respect to the social dimension

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Table 38 Fuzzy pairwise comparison matrix for the criteria with respect to the environment dimension

38.

Appendix 2

See Tables 39, 40,41, 42,43, 44

Table 39 Deterministic decision matrix of sustainability criteria
Table 40 Deterministic quantitative decision-making matrix of sustainability criteria
Table 41 Normalized Deterministic decision-making matrix of sustainability criteria
Table 42 Deterministic weighted normalized decision-making matrix
Table 43 Fuzzy decision matrix of sustainability criteria
Table 44 Fuzzy quantitative decision-making matrix of sustainability criteria

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RezaHoseini, A., Rahmani, Z. & BagherPour, M. Performance evaluation of sustainable projects: a possibilistic integrated novel analytic hierarchy process-data envelopment analysis approach using Z-Number information. Environ Dev Sustain 24, 3198–3257 (2022). https://doi.org/10.1007/s10668-021-01565-z

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  • DOI: https://doi.org/10.1007/s10668-021-01565-z

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