Abstract
The Probabilistic Hesitant Fuzzy Sets (PHFS) based on the hesitant fuzzy sets has been paid great attention. Though numerous methods have been applied in this environment since the PHFS has been introduced, there are still new fields to be explored. The EDAS method which is the abbreviation of the evaluation based on distance from average solution is one of the practical methods in circumstances which is with contradictory attributes. Considering the uncertain character of the PHF condition and the psychological factors which influence decision makers’ behaviors such as the character and risk reference, the probabilistic hesitant fuzzy EDAS integrating with cumulative prospect theory (PHF-CPT-EDAS) is built for multiple attributes group decision making (MAGDM) problem. Meanwhile, the information of entropy is also utilized to calculate the unknown weighting vector of attributes. At last, we utilize two case studies to compare the designed method with other MADM methods. Through this article, we learn that the PHF-CPT-EDAS method is effective and stable to solve the MAGDM issues.
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Atanassov KT (1986) Intuitionistic fuzzy sets. Fuzzy Sets Syst 20:87–96
Bausys R, Zavadskas E (2015) Multicriteria decision making approach by VIKOR under interval neutrosophic set environment. Econom Comput Econom Cybernet Stud Res 49:33–48
Chen TY (2018) An interval-valued pythagorean fuzzy outranking method with a closeness-based assignment model for multiple criteria decision making. Int J Intell Syst 33:126–168
Feng XQ, Wei CP, Liu Q (2018) EDAS method for extended hesitant fuzzy linguistic multi-criteria decision making. Int J Fuzzy Syst 20:2470–2483
Garg H (2018a) New exponential operational laws and their aggregation operators for interval-valued Pythagorean fuzzy multicriteria decision-making. Int J Intell Syst 33:653–683
Garg H (2018b) Nancy, multi-criteria decision-making method based on prioritized muirhead mean aggregation operator under neutrosophic set environment. Symmetry-Basel 10:280
Garg H (2020) Nancy, linguistic single-valued neutrosophic power aggregation operators and their applications to group decision-making problems. IEEE-Caa J Automatica Sinica 7:546–558
Ghorabaee MK, Zavadskas EK, Olfat L, Turskis ZJI (2015) Multi-criteria inventory classification using a new method of evaluation based on distance from average solution (EDAS). Informatica 26:435–451
Gomes L, Lima M (1979) TODIM: basics and application to multicriteria ranking of projects with environmental impacts. Found Comput Decis Sci 16:113–127
Guo J, Yin JL, Zhang L, Lin ZF, Li X (2020) Extended TODIM method for CCUS storage site selection under probabilistic hesitant fuzzy environment. Appl Soft Comput 93:106381
He TT, Wei GW, Lin R, Lu JP, Wei C, Wu J (2020a) Pythagorean interval 2-tuple linguistic VIKOR method for evaluating human factors in construction project management. Iran J Fuzzy Syst 17:93–105
He T, Wei G, Lu J, Wu J, Wei C, Guo Y (2020b) A novel EDAS based method for multiple attribute group decision making with pythagorean 2-tuple linguistic information. Technol Econ Dev Econ 26:1125–1138
He Y, Wei G, Chen X (2021) Taxonomy-based multiple attribute group decision making method with probabilistic uncertain linguistic information and its application in supplier selection. J Intell Fuzzy Syst 41:3237–3250
Huang Y, Lin R, Chen X (2021) An enhancement EDAS method based on prospect theory. Technol Econ Dev Econ 27:1019–1038
Irvanizam I, Zi NN, Zuhra R, Amrusi A, Sofyan H (2020a) An extended MABAC method based on triangular fuzzy neutrosophic numbers for multiple-criteria group decision making problems. Axioms 9:104
Irvanizam I, Usman T, Iqbal M, Iskandar T, Marzuki M (2020b) An extended fuzzy TODIM approach for multiple-attribute decision-making with dual-connection numbers. Adv Fuzzy Syst 2020:6190149
Irvanizam I, Azzahra N, Nadhira I, Zulfan Z, Subianto M, Syahrini I (2021a) Multiple criteria decision making based on VIKOR for productive economic endeavors distribution problem. In: Sixth International Conference on Informatics and Computing (ICIC), IEEE, pp 1–6
Irvanizam I, Syahrini I, Zi NN, Azzahra N, Iqbal M, Marzuki M, Subianto M (2021b) An improved EDAS method based on bipolar neutrosophic set and its application in group decision-making. Appl Comput Intell Soft Comput 2021:1474629
Jiang Z, Wei G, Chen X (2022) EDAS method based on cumulative prospect theory for multiple attribute group decision-making under picture fuzzy environment. J Intell Fuzzy Syst 42:1723–1735
Kahraman C, Keshavarz Ghorabaee M, Zavadskas EK, Onar SC, Yazdani M, Oztaysi B (2017) Intuitionistic fuzzy EDAS method: an application to solid waste disposal site selection. J Environ Eng Landscape Manage 25:1–12
Karasan A, Kahraman C (2018) A novel interval-valued neutrosophic EDAS method: prioritization of the United Nations national sustainable development goals. Soft Comput 22:4891–4906
Keshavarz Ghorabaee M, Zavadskas EK, Olfat L, Turskis Z (2015) Multi-criteria inventory classification using a new method of evaluation based on distance from average solution (EDAS). Informatica 26:435–451
Keshavarz Ghorabaee M, Zavadskas EK, Amiri M, Turskis Z (2016) Extended EDAS method for fuzzy multi-criteria decision-making: an application to supplier selection. Int J Comput Commun Control 11:358–371
Kundakci N (2019) An integrated method using MACBETH and EDAS methods for evaluating steam boiler alternatives. J Multi-Criteria Decis Anal 26:27–34
Lei F, Wei G, Shen W, Guo Y (2022) PDHL-EDAS method for multiple attribute group decision making and its application to 3D printer selection. Technol Econ Dev Econ 28:179–200
Li J, Wang ZX (2018) Consensus building for probabilistic hesitant fuzzy preference relations with expected additive consistency. Int J Fuzzy Syst 20:1495–1510
Li J, Chen QX, Niu LL, Wang ZX (2020) An ORESTE approach for multi-criteria decision-making with probabilistic hesitant fuzzy information. Int J Mach Learn Cybern 11:1591–1609
Liang W, Goh M, Wang YM (2020) Multi-attribute group decision making method based on prospect theory under hesitant probabilistic fuzzy environment. Comput Indus Eng 149:106804
Liao N, Wei G, Chen X (2022) TODIM method based on cumulative prospect theory for multiple attributes group decision making under probabilistic hesitant fuzzy setting. Int J Fuzzy Syst 24:322–339
Liu PD, You XL (2019) Bidirectional projection measure of linguistic neutrosophic numbers and their application to multi-criteria group decision making. Comput Ind Eng 128:447–457
Lu J, Zhang S, Wu J, Wei Y (2021) COPRAS method for multiple attribute group decision making under picture fuzzy environment and their application to green supplier selection. Technol Econ Dev Econ 27:369–385
Mu ZM, Zeng SZ, Wang PY (2021) Novel approach to multi-attribute group decision-making based on interval-valued Pythagorean fuzzy power Maclaurin symmetric mean operator. Comput Ind Eng 155:13
Nie RX, Wang JQ (2020) Prospect theory-based consistency recovery strategies with multiplicative probabilistic linguistic preference relations in managing group decision making. Arab J Sci Eng 45:2113–2130
Opricovic S, Tzeng GH (2004) Compromise solution by MCDM methods: a comparative analysis of VIKOR and TOPSIS. Eur J Oper Res 156:445–455
Ouenniche J, Perez OJU, Ettouhami A (2019) A new EDAS-based in-sample-out-of-sample classifier for risk-class prediction. Manag Decis 57:314–323
Pamucar D, Cirovic G (2015) The selection of transport and handling resources in logistics centers using multi-attributive border approximation area comparison (MABAC). Expert Syst Appl 42:3016–3028
Peng XD, Dai JG, Yuan HY (2017) Interval-valued fuzzy soft decision making methods based on MABAC, similarity measure and EDAS. Fund Inform 152:373–396
Schitea D, Deveci M, Iordache M, Bilgili K, Akyurt IZ, Iordache I (2019) Hydrogen mobility roll-up site selection using intuitionistic fuzzy sets based WASPAS, COPRAS and EDAS. Int J Hydrogen Energy 44:8585–8600
Sha XY, Yin CC, Xu ZS, Zhang S (2021) Probabilistic hesitant fuzzy TOPSIS emergency decision-making method based on the cumulative prospect theory. J Intell Fuzzy Syst 40:4367–4383
Shao ST, Zhang XH, Zhao Q (2019) Multi-attribute decision making based on probabilistic neutrosophic hesitant fuzzy choquet aggregation operators. Symmetry-Basel 11:623
Smarandache F (1999) A unifying field in Logics: Neutrosophic Logic. In: Philosophy. American Research Press, Citeseer, pp 1–141
Stanujkic D, Zavadskas EK, Keshavarz Ghorabaee M, Turskis Z (2017) An extension of the EDAS method based on the use of interval grey numbers. Stud Inform Control 26:5–12
Su Y, Zhao M, Wei G, Wei C, Chen X (2022a) Probabilistic uncertain linguistic EDAS method based on prospect theory for multiple attribute group decision-making and its application to green finance. Int J Fuzzy Syst. https://doi.org/10.1007/s40815-40021-01184-w
Su Y, Zhao M, Wei C, Chen X (2022b) PT-TODIM method for probabilistic linguistic MAGDM and application to industrial control system security supplier selection. Int J Fuzzy Syst 24:202–215
Torra V (2010) Hesitant fuzzy sets. Int J Intell Syst 25:529–539
Tversky A, Kahneman D (1992) Advances in prospect theory: cumulative representation of uncertainty. J Risk Uncertain 5:297–323
Wang S, Wei G, Lu J, Wu J, Wei C, Chen X (2022) GRP and CRITIC method for probabilistic uncertain linguistic MAGDM and its application to site selection of hospital constructions. Soft Comput 26:237–251
Wei GW, He Y, Lei F, Wu J, Wei C (2020a) MABAC method for multiple attribute group decision making with probabilistic uncertain linguistic information. J Intell Fuzzy Syst 39:3315–3327
Wei GW, He Y, Lei F, Wu J, Wei C, Guo YF (2020b) Green supplier selection with an uncertain probabilistic linguistic MABAC method. J Intell Fuzzy Syst 39:3125–3136
Wei G, Wei C, Guo Y (2021) EDAS method for probabilistic linguistic multiple attribute group decision making and their application to green supplier selection. Soft Comput 25:9045–9053
Wu J, Liu XD, Wang ZW, Zhang ST (2019) Dynamic emergency decision-making method with probabilistic hesitant fuzzy information based on GM(1,1) and TOPSIS, Ieee. Access 7:7054–7066
Xia MM, Xu ZS (2011) Hesitant fuzzy information aggregation in decision making. Int J Approx Reason 52:395–407
Xian SD, Xiao Y, Yang ZJ, Li YH, Han ZY (2018) A new trapezoidal Pythagorean fuzzy linguistic entropic combined ordered weighted averaging operator and its application for enterprise location. Int J Intell Syst 33:1880–1899
Xiao L, Wei G, Guo Y, Chen X (2021) Taxonomy method for multiple attribute group decision making based on interval-valued intuitionistic fuzzy with entropy. J Intell Fuzzy Syst 41:7031–7045
Xu ZS, Xia MM (2011) Distance and similarity measures for hesitant fuzzy sets. Inf Sci 181:2128–2138
Xu ZS, Zhou W (2017) Consensus building with a group of decision makers under the hesitant probabilistic fuzzy environment. Fuzzy Optim Decis Making 16:481–503
Xu D, Cui X, Xian H (2020) An Extended EDAS method with a single-valued complex neutrosophic set and its application in green supplier selection. Mathematics 8:282
Xu HX, Liu PD, Teng F (2022) Two prospect theory-based decision-making models using data envelopment analysis with hesitant fuzzy linguistic information. Inf Sci 582:415–438
Ye J (2017) Bidirectional projection method for multiple attribute group decision making with neutrosophic numbers. Neural Comput Appl 28:1021–1029
Zadeh LA (1965) Fuzzy sets. Inf Control 8:338–356
Zeng SZ, Cao CD, Deng Y, Shen XD (2018) Pythagorean fuzzy information aggregation based on weighted induced operator and its application to R&D projections selection. Informatica 29:567–580
Zeng SZ, Hu YJ, Xie XY (2021) Q-rung orthopair fuzzy weighted induced logarithmic distance measures and their application in multiple attribute decision making. Eng Appl Artif Intell 100:104167
Zhang S, Xu ZS, He Y (2017) Operations and integrations of probabilistic hesitant fuzzy information in decision making. Inform Fusion 38:1–11
Zhang WK, Du J, Tian XL (2018) Finding a promising venture capital project with TODIM under probabilistic hesitant fuzzy circumstance. Technol Econ Dev Econ 24:2026–2044
Zhang C, Li DY, Kang XP, Liang YD, Broumi S, Sangaiah AK (2020) Multi-attribute group decision making based on multigranulation probabilistic models with interval-valued neutrosophic information. Mathematics 8:223
Zhang D, Su Y, Zhao M, Chen X (2022a) CPT-TODIM method for interval neutrosophic MAGDM and its application to third-party logistics service providers selection. Technol Econ Dev Econ 28:201–219
Zhang H, Wei G, Chen X (2022b) SF-GRA method based on cumulative prospect theory for multiple attribute group decision making and its application to emergency supplies supplier selection. Eng Appl Artif Intell 110:104679
Zhao M, Wei G, Wu J, Guo Y, Wei C (2021a) TODIM method for multiple attribute group decision making based on cumulative prospect theory with 2-tuple linguistic neutrosophic sets. Int J Intell Syst 36:1199–1222
Zhao M, Wei G, Guo Y, Chen X (2021b) CPT-TODIM method for interval-valued bipolar fuzzy multiple attribute group decision making and application to industrial control security service provider selection. Technol Econ Dev Econ 27:1186–1206
Zhao M, Wei G, Wei C, Wu J (2021c) Pythagorean fuzzy TODIM Method based on the cumulative prospect theory for magdm and its application on risk assessment of science and technology projects. Int J Fuzzy Syst 23:1027–1041
Zhao MW, Wei GW, Chen XD, Wei Y (2021d) Intuitionistic fuzzy MABAC method based on cumulative prospect theory for multiple attribute group decision making. Int J Intell Syst 36:6337–6359
Zhou XY, Wang LQ, Liao HC, Wang SY, Lev B, Fujita H (2019) A prospect theory-based group decision approach considering consensus for portfolio selection with hesitant fuzzy information. Knowl-Based Syst 168:28–38
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The work was supported by the the Humanities and Social Sciences Foundation of Ministry of Education of the People’s Republic of China (No. 17XJA630003).
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Liao, N., Gao, H., Lin, R. et al. An extended EDAS approach based on cumulative prospect theory for multiple attributes group decision making with probabilistic hesitant fuzzy information. Artif Intell Rev 56, 2971–3003 (2023). https://doi.org/10.1007/s10462-022-10244-y
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DOI: https://doi.org/10.1007/s10462-022-10244-y