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Decision-making is an interdisciplinary area that has roots in mathematics, economics, and social science. Multiple-criteria group decision-making (MCGDM) is one of the most applicable areas of decision-making. Social cognition is involved in group decision-making. Therefore, it is necessary to address how decision makers (DMs) process and apply judgments and information during the process. In recent years, many approaches have been applied to MCGDM. As an important aspect of this process, uncertainty has led to the application of fuzzy sets. However, utilizing various decision-making approaches can result in different results and confusion among DMs. Moreover, using classic fuzzy sets and expressing degrees of belonging by crisp values has proven to be inadequate for uncertain decision-making environments. This paper presents a novel MCGDM approach, double-weighted aggregated sum product assessment (D-WASPAS), under interval-valued Pythagorean fuzzy (IVPF) uncertainty. The proposed approach applies knowledge measures to address the objective weights of criteria. Then, subjective and objective weights of criteria are aggregated to create a more appropriate weight. This approach considers three decision-making methods. In the first, an IVPF-ARAS (additive ratio assessment) method is extended to rank the alternatives. In the second, an IVPF-EDAS (evaluation based on distance from average solution) method is developed to rank the alternatives. In the third, a novel IVPF-COADAP (complex adequate appraisal) method is utilized for a third ranking. To aggregate the results, two steps are carried out using the WASPAS method. First, the results of the ranking approaches are aggregated. This process starts with computing the objective weights of the ranking approaches and aggregating the outcome with the subjective weights of the approaches. Then, the WASPAS method is applied to aggregate the obtained rankings and obtain a set of rankings for each DM. The second aggregation is utilized to aggregate the results for the DMs and reach a final set of rankings. Similarly, the subjective and objective weights of the DMs are applied in the WASPAS to aggregate the results. It should be noted that since the WASPAS method is utilized twice to aggregate the results, this approach is called D-WASPAS. A case study of the application of the proposed method shows that it is applicable to many multiple-criteria analysis and decision-making processes. Moreover, the results are more reliable because various decision-making methods are taken into consideration, and it is a last-aggregation process. Double-weighted aggregated sum product assessment offers a novel decision-making framework that is applicable in real-world decision-making situations. The proposed method is based on interval-valued Pythagorean fuzzy sets (IVPFSs), which would be especially applicable to uncertain situations. Also, it would enhance calculations of the process by offering more flexibility in dealing with uncertainty. Consequently, introducing this new decision-making framework and applying extended fuzzy sets would make the proposed method more widely applicable. The last-aggregation nature of this method avoids loss of cognitive information and assigning weights to the DMs, and the different ranking methods address the social cognition that leads to the judgments expressed and the final decisions.
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Amaral TM, Costa AP. Improving decision-making and management of hospital resources: an application of the PROMETHEE II method in an emergency department. Operations Research for Health Care. 2014;3(1):1–6. CrossRef
Antucheviciene J, Tavana M, Nilashi M, Bausys R. Managing information uncertainty and complexity in decision-making. Complexity. 2017;2017:1–3. CrossRef
Atanassov, K. T. (1983). Intuitionistic fuzzy sets in: V. Sgurev, Ed., VII ITKR’s Session, Sofia, (Central Sci. and Techn. Library, Bulg. Academy of Sciences, 1984).
Baykasoğlu A, Gölcük İ. Development of an interval type-2 fuzzy sets based hierarchical MADM model by combining DEMATEL and TOPSIS. Expert Syst Appl. 2017;70:37–51. CrossRef
Behzadian M, Otaghsara SK, Yazdani M, Ignatius J. A state-of the-art survey of TOPSIS applications. Expert Syst Appl. 2012;39(17):13051–69. CrossRef
Biswas A, Sarkar B. Pythagorean fuzzy multicriteria group decision making through similarity measure based on point operators. Int J Intell Syst. 2018;33(8):1731–44. CrossRef
Büyüközkan, G., & Göçer, F. (2017). An extension of ARAS methodology based on interval valued intuitionistic fuzzy group decision making for digital supply chain. In 2017 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE), (pp. 1-6).
Büyüközkan G, Güleryüz S. Multi criteria group decision making approach for smart phone selection using intuitionistic fuzzy TOPSIS. Int J Comput Intell Syst. 2016;9(4):709–25. CrossRef
Ceballos B, Lamata MT, Pelta DA. Fuzzy multicriteria decision-making methods: a comparative analysis. Int J Intell Syst. 2017;32(7):722–38. CrossRef
Celik E, Gul M, Aydin N, Gumus AT, Guneri AF. A comprehensive review of multi criteria decision making approaches based on interval type-2 fuzzy sets. Knowl-Based Syst. 2015;85:329–41. CrossRef
Chakraborty S, Zavadskas EK. Applications of WASPAS method in manufacturing decision making. Informatica. 2014;25(1):1–20. CrossRef
Chen SM, Han WH. A new multiattribute decision making method based on multiplication operations of interval-valued intuitionistic fuzzy values and linear programming methodology. Inf Sci. 2018;429:421–32. CrossRef
Das S, Dutta B, Guha D. Weight computation of criteria in a decision-making problem by knowledge measure with intuitionistic fuzzy set and interval-valued intuitionistic fuzzy set. Soft Comput. 2016;20(9):3421–42. CrossRef
Davoudabadi R, Mousavi SM, Šaparauskas J, Gitinavard H. Solving construction project selection problem by a new uncertain weighting and ranking based on compromise solution with linear assignment approach. J Civ Eng Manag. 2019;25(3):241–51. CrossRef
Deng H. Comparing and ranking fuzzy numbers using ideal solutions. Appl Math Model. 2014;38(5):1638–46. CrossRef
Dorfeshan Y, Mousavi SM, Mohagheghi V, Vahdani B. Selecting project-critical path by a new interval type-2 fuzzy decision methodology based on MULTIMOORA, MOOSRA and TPOP methods. Comput Ind Eng. 2018;120:160–78. CrossRef
Farhadinia B, Xu Z. Distance and aggregation-based methodologies for hesitant fuzzy decision making. Cogn Comput. 2017;9(1):81–94. CrossRef
Foroozesh N, Tavakkoli-Moghaddam R, Mousavi SM. A novel group decision model based on mean–variance–skewness concepts and interval-valued fuzzy sets for a selection problem of the sustainable warehouse location under uncertainty. Neural Comput & Applic. 2018;30:3277–93. CrossRef
Foroozesh N, Tavakkoli-Moghaddam R, Mousavi SM. Sustainable-supplier selection for manufacturing services: a new failure mode and effects analysis model based on interval-valued fuzzy group decision-making. Int J Adv Manuf Technol. 2018;95(9–12):3609–29. CrossRef
Foroozesh N, Tavakkoli-Moghaddam R, Mousavi SM. An interval-valued fuzzy statistical group decision making approach with new evaluating indices for sustainable supplier selection problem. J Intell Fuzzy Syst. 2019;36:1855–66. CrossRef
Frith CD, Singer T. The role of social cognition in decision making. Phil Trans R Soc B: Biol Sci. 2008;363(1511):3875–86. CrossRef
Garg, H. (2018). Generalised Pythagorean fuzzy geometric interactive aggregation operators using Einstein operations and their application to decision making. J Exp Theor Artif Intell. Article in press. DOI: https://doi.org/10.1080/0952813X.2018.1467497, 30, 763, 794. CrossRef
Gitinavard H, Mousavi SM, Vahdani B. Soft computing based on hierarchical evaluation approach and criteria interdependencies for energy decision-making problems: a case study. Energy. 2017;118:556–77. CrossRef
Guo S, Zhao H. Fuzzy best-worst multi-criteria decision-making method and its applications. Knowl-Based Syst. 2017;121:23–31. CrossRef
Hajighasemi Z, Mousavi SM. A new approach in failure modes and effects analysis based on compromise solution by considering objective and subjective weights with interval-valued intuitionistic fuzzy sets. Iran J Fuzzy Syst. 2018;15(1):139–61.
Kahraman C, Oztaysi B, Onar SC. Photovoltaics type selection using an intuitionistic fuzzy projection model-based approach. J Multiple-Valued Logic Soft Comput. 2018;30:1–20.
Kannan D, de Sousa Jabbour ABL, Jabbour CJC. Selecting green suppliers based on GSCM practices: using fuzzy TOPSIS applied to a Brazilian electronics company. Eur J Oper Res. 2014;233(2):432–47. CrossRef
Keshavarz-Ghorabaee M, Zavadskas EK, Olfat L, Turskis Z. Multi-criteria inventory classification using a new method of evaluation based on distance from average solution (EDAS). Informatica. 2015;26(3):435–51. CrossRef
Keshavarz-Ghorabaee M, Zavadskas EK, Amiri M, Turskis Z. Extended EDAS method for fuzzy multi-criteria decision-making: an application to supplier selection. Int J Comput Commun Control. 2016;11(3):358–71. CrossRef
Lashgari S, Antuchevičienė J, Delavari A, Kheirkhah O. Using QSPM and WASPAS methods for determining outsourcing strategies. J Bus Econ Manag. 2014;15(4):729–43. CrossRef
Li X, Chen X. D-intuitionistic hesitant fuzzy sets and their application in multiple attribute decision making. Cogn Comput. 2018;10(3):496–505. CrossRef
Li J, Wang JQ. Multi-criteria outranking methods with hesitant probabilistic fuzzy sets. Cogn Comput. 2017;9(5):611–25. CrossRef
Li D, Zeng W. Distance measure of Pythagorean fuzzy sets. Int J Intell Syst. 2018;33(2):348–61. CrossRef
Liu P, Li H. Interval-valued intuitionistic fuzzy power Bonferroni aggregation operators and their application to group decision making. Cogn Comput. 2017;9(4):494–512. CrossRef
Liu P, Qin X. A new decision-making method based on interval-valued linguistic intuitionistic fuzzy information. Cogn Comput. 2019;11(1):125–44. CrossRef
MacCrimmon, K.R. (1968). Decision Makingamong Multipleattribute Alternatives: A Survey and Consolidated Approach; RAND Memorandum, RM-4823-ARPA; RAND Corporation: Santa Monica, CA, USA.
Miller DW, Starr MK. Executive decisions and operations research. Englewood Cliffs: Prentice-Hall; 1969.
Mohagheghi, V., Mousavi, S. M., & Siadat, A. (2016a). Best product end-of-life scenario selection by a new decision-making process under Atanassov fuzzy uncertainty. In 2016 IEEE International Conference on Management of Innovation and Technology (ICMIT), (pp. 313-317).
Mohagheghi V, Mousavi SM, Vahdani B. A new multi-objective optimization approach for sustainable project portfolio selection: a real world application under interval-valued fuzzy environment. Iran J Fuzzy Syst. 2016;13(6):41–68.
Mohagheghi V, Mousavi SM, Vahdani B. Enhancing decision-making flexibility by introducing a new last aggregation evaluating approach based on multi-criteria group decision making and Pythagorean fuzzy sets. Appl Soft Comput. 2017;61:527–35. CrossRef
Mohagheghi V, Mousavi SM, Vahdani B, Siadat A. A mathematical modeling approach for high and new technology-project portfolio selection under uncertain environments. J Intell Fuzzy Syst. 2017;32(6):4069–79. CrossRef
Mousavi SM. A new interval-valued hesitant fuzzy-pairwise comparison-compromise solution methodology: an application to cross-docking location planning. Neural Comput & Applic. 2019; 31(9): 5159–5173
Opricovic S. Multicriteria optimization of civil engineering systems. Faculty Civil Eng Belgrade. 1998;2(1):5–21.
Oz, N. E., Mete, S., Serin, F., & Gul, M. (2018). Risk assessment for clearing and grading process of a natural gas pipeline project: an extended TOPSIS model with Pythagorean fuzzy sets for prioritizing hazards. Human and Ecological Risk Assessment: An International Journal, 1–18. Article in press, DOI: https://doi.org/10.1080/10807039.2018.1495057. CrossRef
Peng X, Yang Y. Some results for Pythagorean fuzzy sets. Int J Intell Syst. 2015;30(11):1133–60. CrossRef
Peng X, Yuan H, Yang Y. Pythagorean fuzzy information measures and their applications. Int J Intell Syst. 2017;32(10):991–1029. CrossRef
Qin J, Liu X, Pedrycz W. An extended TODIM multi-criteria group decision making method for green supplier selection in interval type-2 fuzzy environment. Eur J Oper Res. 2017;258(2):626–38. CrossRef
Suder A, Kahraman C. Multiattribute evaluation of organic and inorganic agricultural food investments using fuzzy TOPSIS. Technol Econ Dev Econ. 2018;24(3):844–58. CrossRef
Tang X, Wei G. Multiple attribute decision-making with dual hesitant Pythagorean fuzzy information. Cogn Comput. 2019;11(2):193–211. CrossRef
Tao, Z., Han, B., & Chen, H. (2018). On intuitionistic fuzzy copula aggregation operators in multiple-attribute decision making. Cogn Comput, 1–15. Article in Press. DOI: https://doi.org/10.1007/s12559-018-9545-1 .
Taylan O, Bafail AO, Abdulaal RM, Kabli MR. Construction projects selection and risk assessment by fuzzy AHP and fuzzy TOPSIS methodologies. Appl Soft Comput. 2014;17:105–16. CrossRef
Triantaphyllou E, Mann SH. An examination of the effectiveness of multi-dimensional decision-making methods: a decision-making paradox. Decis Support Syst. 1989;5(3):303–12. CrossRef
Turanoglu Bekar E, Cakmakci M, Kahraman C. Fuzzy COPRAS method for performance measurement in total productive maintenance: a comparative analysis. J Bus Econ Manag. 2016;17(5):663–84. CrossRef
Turskis Z, Zavadskas EK. A new fuzzy additive ratio assessment method (ARAS-F). Case study: the analysis of fuzzy multiple criteria in order to select the logistic centers location. Transport. 2010a;25(4):423–32. CrossRef
Turskis Z, Zavadskas EK. A novel method for multiple criteria analysis: grey additive ratio assessment (ARAS-G) method. Informatica. 2010b;21(4):597–610.
Turskis Z, Zavadskas EK, Antucheviciene J, Kosareva N. A hybrid model based on fuzzy AHP and fuzzy WASPAS for construction site selection. Int J Comput Commun Control. 2015;10(6):113–28. CrossRef
Wei G. Pythagorean fuzzy interaction aggregation operators and their application to multiple attribute decision making. J Intell Fuzzy Syst. 2017;33(4):2119–32. CrossRef
Wei G, Wei Y. Similarity measures of Pythagorean fuzzy sets based on the cosine function and their applications. Int J Intell Syst. 2018;33(3):634–52. CrossRef
Wei CP, Wang P, Zhang YZ. Entropy, similarity measure of interval-valued intuitionistic fuzzy sets and their applications. Inf Sci. 2011;181(19):4273–86. CrossRef
Yager RR. Pythagorean membership grades in multicriteria decision making. IEEE Trans Fuzzy Syst. 2014;22(4):958–65. CrossRef
Yager RR, Abbasov AM. Pythagorean membership grades, complex numbers, and decision making. Int J Intell Syst. 2013;28(5):436–52. CrossRef
Ye J. Multiple attribute decision-making methods based on the expected value and the similarity measure of hesitant neutrosophic linguistic numbers. Cogn Comput. 2018;10(3):454–63. CrossRef
Zamani-Sabzi H, King JP, Gard CC, Abudu S. Statistical and analytical comparison of multi-criteria decision-making techniques under fuzzy environment. Oper Res Perspect. 2016;3:92–117. CrossRef
Zavadskas EK, Turskis Z, Vilutiene T. Multiple criteria analysis of foundation instalment alternatives by applying additive ratio assessment (ARAS) method. Arch Civil Mech Eng. 2010;10(3):123–41. CrossRef
Zavadskas EK, Antucheviciene J, Saparauskas J, Turskis Z. MCDM methods WASPAS and MULTIMOORA: verification of robustness of methods when assessing alternative solutions. Econom Comput Econom Cybernet Stud Res. 2013;47(2):5–20.
Zavadskas EK, Antucheviciene J, Hajiagha SHR, Hashemi SS. Extension of weighted aggregated sum product assessment with interval-valued intuitionistic fuzzy numbers (WASPAS-IVIF). Appl Soft Comput. 2014a;24:1013–21. CrossRef
Zavadskas EK, Turskis Z, Kildienė S. State of art surveys of overviews on MCDM/MADM methods. Technol Econ Dev Econ. 2014b;20(1):165–79. CrossRef
Zavadskas EK, Baušys R, Lazauskas M. Sustainable assessment of alternative sites for the construction of a waste incineration plant by applying WASPAS method with single-valued neutrosophic set. Sustainability. 2015a;7(12):15923–36. CrossRef
Zavadskas EK, Turskis Z, Antucheviciene J. Selecting a contractor by using a novel method for multiple attribute analysis: weighted aggregated sum product assessment with grey values (WASPAS-G). Stud Inf Control. 2015b;24(2):141–50.
Zhang X. Multicriteria Pythagorean fuzzy decision analysis: a hierarchical QUALIFLEX approach with the closeness index-based ranking methods. Inf Sci. 2016;330:104–24. CrossRef
Zopounidis, C., & Pardalos, P.M. (Eds.). (2010). Handbook of multicriteria analysis (Vol. 103). Springer Science & Business Media.
- D-WASPAS: Addressing Social Cognition in Uncertain Decision-Making with an Application to a Sustainable Project Portfolio Problem
S. Meysam Mousavi
- Springer US
Print ISSN: 1866-9956
Elektronische ISSN: 1866-9964
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