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Cloud-based ERP system selection based on extended probabilistic linguistic MULTIMOORA method and Choquet integral operator

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Abstract

Cloud-based enterprise resource planning (ERP) is a combination of standard ERP system and cloud flexibility. Adopting a suitable cloud-based ERP system is an uncertain multi-criteria decision-making problem. Probabilistic linguistic term sets (PLTSs) can be used to address the uncertainty in such problem. On the basis of PLTSs, we introduce an innovative two-step comparative method for the evaluation of cloud-based ERP systems. The extended multiple multi-objective optimisations by ratio analysis method within PLTSs are proposed to obtain the class of cloud-based ERP vendors. Two classes, namely, accepted and rejected, are obtained. Then, we select the suitable cloud-based ERP packages in the accepted class. We put forward the probabilistic linguistic Choquet integral operator to aggregate the ERP package evaluation matrices given the interrelationships between criteria. Subsequently, a new comparison method is introduced to obtain the final results. We conduct an illustrative example to prove the rationality of the presented method. The feasibility of this model is verified by comparative analysis and validity test.

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References

  • Al-Ghofaili AA, Al-Mashari MA (2014) ERP system adoption traditional ERP systems vs. cloud-based ERP systems. In: Fourth edition of the international conference on the innovative computing technology (INTECH 2014), Luton, UK

  • Bai C, Zhang R, Qian L, Wu Y (2017) Comparisons of probabilistic linguistic term sets for multi-criteria decision making. Knowl Based Syst 119:284–291

    Article  Google Scholar 

  • Bao G-Y, Lian X-L, He M, Wang L-L (2010) Improved two-tuple linguistic representation model based on new linguistic evaluation scale. Control Decis 25(5):780–784

    MathSciNet  Google Scholar 

  • Brauers WK, Zavadskas EK (2006) The MOORA method and its application to privatization in a transition economy. Control Cybern 35:445–469

    MathSciNet  MATH  Google Scholar 

  • Brauers WKM, Zavadskas EK (2011) MULTIMOORA optimization used to decide on a bank loan to buy property. Technol Econ Dev Econ 17(1):174–188

    Article  Google Scholar 

  • Brauers WKM, Zavadskas EK (2012) Robustness of MULTIMOORA: a method for multi-objective optimization. Informatica 23(1):1–25

    MathSciNet  MATH  Google Scholar 

  • Brauers WKM, Zavadskas EK, Kildienė S (2014) Was the construction sector in 20 European countries anti-cyclical during the recession years 2008–2009 as measured by multicriteria analysis (MULTIMOORA)? Procedia Comput Sci 31:949–956

    Article  Google Scholar 

  • Choquet G (1953) Theory of capacities. Ann Inst Fourier 5:131–295

    Article  MathSciNet  MATH  Google Scholar 

  • Gürbüz T, Alptekin SE, Işıklar Alptekin G (2012) A hybrid MCDM methodology for ERP selection problem with interacting criteria. Decis Support Syst 54(1):206–214

    Article  Google Scholar 

  • Hafezalkotob A, Hafezalkotob A, Liao H, Herrera F (2019) An overview of MULTIMOORA for multi-criteria decision-making: theory, developments, applications, and challenges. Inf Fusion 51:145–177

    Article  Google Scholar 

  • Hao Z, Xu Z, Zhao H, Su Z (2017) Probabilistic dual hesitant fuzzy set and its application in risk evaluation. Knowl Based Syst 127:16–28

    Article  Google Scholar 

  • Hua G, Song XX (2010) Fuzzy comprehensive appraisal of ERP selection. In: Electrical and control engineering (ICECE), 2010 international conference, Wuhan, China

  • Joshi D, Kumar S (2016) Interval-valued intuitionistic hesitant fuzzy Choquet integral based TOPSIS method for multi-criteria group decision making. Eur J Oper Res 248(1):183–191

    Article  MathSciNet  MATH  Google Scholar 

  • Kilic HS, Zaim S, Delen D (2014) Development of a hybrid methodology for ERP system selection: the case of Turkish Airlines. Decis Support Syst 66(Supplement C):82–92

    Article  Google Scholar 

  • Kilic HS, Zaim S, Delen D (2015) Selecting “the best” ERP system for SMEs using a combination of ANP and PROMETHEE methods. Expert Syst Appl 42(5):2343–2352

    Article  Google Scholar 

  • Lee K-M, Leekwang H (1995) Identification of λ-fuzzy measure by genetic algorithms. Fuzzy Set Syst 75(3):301–309

    Article  MathSciNet  MATH  Google Scholar 

  • Li J, Wang J-q (2018) Multi-criteria decision-making with probabilistic hesitant fuzzy information based on expected multiplicative consistency. Neural Comput Appl. https://doi.org/10.1007/s00521-018-3753-1

    Article  Google Scholar 

  • Li J, Wang JQ, Hu JH (2018) Multi-criteria decision-making method based on dominance degree and BWM with probabilistic hesitant fuzzy information. Int J Mach Learn Cybern. https://doi.org/10.1007/s13042-018-0845-2:1-15

    Article  Google Scholar 

  • Liang D, Kobina A, Quan W (2018) Grey relational analysis method for probabilistic linguistic multi-criteria group decision-making based on geometric Bonferroni mean. Int J Fuzzy Syst 20(7):2234–2244

    Article  Google Scholar 

  • Liao H, Xu Z, Zeng X-J (2014) Distance and similarity measures for hesitant fuzzy linguistic term sets and their application in multi-criteria decision making. Inf Sci 271:125–142

    Article  MathSciNet  MATH  Google Scholar 

  • López C, Ishizaka A (2017) GAHPSort: a new group multi-criteria decision method for sorting a large number of the cloud-based ERP solutions. Comput Ind 92–93:12–24

    Article  Google Scholar 

  • Luo SZ, Zhang HY, Wang JQ (2018) Group decision-making approach for evaluating the sustainability of constructed wetlands with probabilistic linguistic preference relations. J Oper Res Soc. https://doi.org/10.1080/01605682.2018.1510806

    Article  Google Scholar 

  • Moreira NJM, Duarte LT, Lavor C, Torezzan C (2017) A novel low-rank matrix completion approach to estimate missing entries in Euclidean distance matrix. Comput Appl Math 4:1–11

    MATH  Google Scholar 

  • Nie R-X, Tian Z-P, Wang J-Q, Hu J-H (2019) Pythagorean fuzzy multiple criteria decision analysis based on Shapley fuzzy measures and partitioned normalized weighted Bonferroni mean operator. Int J Intell Syst 34(2):297–324

    Article  Google Scholar 

  • Ogunrinde RR, Jusoh YY, Pa NC, Ab Wan, Rahman WN, Abdullah A (2016) Cloud enterprise resource planning selection model for small and medium enterprises. Adv Sci Lett 22(8):1939–1943

    Article  Google Scholar 

  • Pang Q, Wang H, Xu Z (2016) Probabilistic linguistic term sets in multi-attribute group decision making. Inf Sci 369:128–143

    Article  Google Scholar 

  • Parthasarathy S, Sharma S (2014) Determining ERP customization choices using nominal group technique and analytical hierarchy process. Comput Ind 65(6):1009–1017

    Article  Google Scholar 

  • Peng H, Wang J (2018) A multicriteria group decision-making method based on the normal cloud model with Zadeh’s Z-numbers. IEEE Trans Fuzzy Syst 26(6):3246–3260

    Article  Google Scholar 

  • Peng H, Zhang H, Wang J (2018a) Cloud decision support model for selecting hotels on TripAdvisor.com with probabilistic linguistic information. Int J Hosp Manag 68:124–138

    Article  Google Scholar 

  • Peng J, Wang J, Hu J (2018b) Multi-criteria decision-making approach based on single-valued neutrosophic hesitant fuzzy geometric weighted Choquet integral Heronian mean operator. J Intell Fuzzy Syst 35(3):3661–3674

    Article  Google Scholar 

  • Rodriguez RM, Martinez L, Herrera F (2012) Hesitant fuzzy linguistic term sets for decision making. IEEE Trans Fuzzy Syst 20(1):109–119

    Article  Google Scholar 

  • Tan C, Chen X (2010) Intuitionistic fuzzy Choquet integral operator for multi-criteria decision making. Expert Syst Appl 37(1):149–157

    Article  Google Scholar 

  • Verville J, Halingten A (2002) An investigation of the decision process for selecting an ERP software: the case of ESC. Manag Decis 40(3):206–216

    Article  Google Scholar 

  • Wang X, Triantaphyllou E (2008) Ranking irregularities when evaluating alternatives by using some ELECTRE methods. Omega 36(1):45–63

    Article  Google Scholar 

  • Wang XK, Wang JQ, Zhang HY (2018) Distance-based multi-criteria group decision-making approach with probabilistic linguistic term sets. Expert Syst. https://doi.org/10.1111/exsy.12358

    Article  Google Scholar 

  • Wu X, Liao H, Xu Z, Hafezalkotob A, Herrera F (2018) Probabilistic linguistic MULTIMOORA: a multi-criteria decision making method based on the probabilistic linguistic expectation function and the improved borda rule. IEEE Trans Fuzzy Syst 26(6):3688–3702

    Article  Google Scholar 

  • Zadeh LA (1965) Fuzzy sets. Inf Control 8(3):338–353

    Article  MATH  Google Scholar 

  • Zadeh LA (1975) The concept of a linguistic variable and its application to approximate reasoning—II. Inf Sci 8(4):301–357

    Article  MathSciNet  MATH  Google Scholar 

  • Zhang S, Xu Z, He Y (2017) Operations and integrations of probabilistic hesitant fuzzy information in decision making. Inf Fusion 38:1–11

    Article  Google Scholar 

  • Zhang X, Zhang H, Wang J (2019) Discussing incomplete 2-tuple fuzzy linguistic preference relations in multi-granular linguistic MCGDM with unknown weight information. Soft Comput 23(6):2015–2032

    Article  MATH  Google Scholar 

  • Zhao H, You J-X, Liu H-C (2017) Failure mode and effect analysis using MULTIMOORA method with continuous weighted entropy under interval-valued intuitionistic fuzzy environment. Soft Comput 21(18):5355–5367

    Article  Google Scholar 

Download references

Acknowledgements

The authors would like to thank the editors and anonymous reviewers for their great help on this study. This work was supported by the National Natural Science Foundation of China (No. 71571193) and Postgraduate Survey Project of Central South University (No. 2018dcyj035).

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Correspondence to Jian-qiang Wang.

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Communicated by Marcos Eduardo Valle.

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Appendix

Appendix

See Table 19.

Table 19 Values of the vendors and packages with different LSFs

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Chen, Sx., Wang, Jq. & Wang, Tl. Cloud-based ERP system selection based on extended probabilistic linguistic MULTIMOORA method and Choquet integral operator. Comp. Appl. Math. 38, 88 (2019). https://doi.org/10.1007/s40314-019-0839-z

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  • DOI: https://doi.org/10.1007/s40314-019-0839-z

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