Abstract
Due to the complexity of decision making under uncertainty and the existence of various and often conflicting criteria, several methods have been proposed to facilitate decision making, and fuzzy logic has been used successfully to address this issue. This paper presents a new framework for solving multi-attributes group decision-making problems under fuzzy environments. The proposed algorithm has several features. First of all, the TODIM (an acronym in Portuguese for interactive multi-criteria decision making) method under interval-valued intuitionistic fuzzy uncertainty is employed. Moreover, objective and subjective weights for each decision maker are used to address this last aggregation approach. To consider weights of attributes, knowledge measure in addition to a new mathematical approach is introduced. A new aggregation and ranking method based on the WASPAS and TOPSIS methods, namely WT method, is presented and applied in this paper. Finally, the effectiveness of the proposed framework is shown by comparing the results with two different real-world applications in the literature.
Similar content being viewed by others
References
Atanassov K, Gargov G (1989) Interval valued intuitionistic fuzzy sets. Fuzzy Sets Syst 31:343–349
Atanassov KT (1986) Intuitionistic fuzzy sets. Fuzzy Sets Syst 20(1):87–96
Banaeian N, Mobli H, Fahimnia B, Nielsen IE, Omid M (2018) Green supplier selection using fuzzy group decision making methods: a case study from the agri-food industry. Comput Oper Res 89:337–347
Baykasoğlu A, Gölcük İ (2017) Development of an interval type-2 fuzzy sets based hierarchical MADM model by combining DEMATEL and TOPSIS. Expert Syst Appl 70:37–51
Beliakov G, Pradera A, Calvo T (2007) Aggregation functions: a guide for practitioners, vol 221. Springer, Heidelberg
Büyüközkan G, Göçer F (2017) Application of a new combined intuitionistic fuzzy MCDM approach based on axiomatic design methodology for the supplier selection problem. Appl Soft Comput 52:1222–1238
Büyüközkan G, Göçer F (2017) Smart medical device selection based on interval valued intuitionistic fuzzy VIKOR. In: Advances in fuzzy logic and technology 2017. Springer, Cham, pp 306–317
Büyüközkan G, Güleryüz S (2016) Multi criteria group decision making approach for smart phone selection using intuitionistic fuzzy TOPSIS. Int J Comput Intell Syst 9(4):709–725
Chen TY (2015) IVIF-PROMETHEE outranking methods for multiple criteria decision analysis based on interval-valued intuitionistic fuzzy sets. Fuzzy Optim Decis Mak 14(2):173–198
Das S, Dutta B, Guha D (2016) Weight computation of criteria in a decision-making problem by knowledge measure with intuitionistic fuzzy set and interval-valued intuitionistic fuzzy set. Soft Comput 20(9):3421–3442
Garg H (2016) A new generalized improved score function of interval-valued intuitionistic fuzzy sets and applications in expert systems. Appl Soft Comput 38:988–999
Gitinavard H, Mousavi SM, Vahdani B (2017) Soft computing-based new interval-valued hesitant fuzzy multi-criteria group assessment method with last aggregation to industrial decision problems. Soft Comput 21(12):3247–3265
Gomes LFAM (2009) An application of the TODIM method to the multicriteria rental evaluation of residential properties. Eur J Oper Res 193(1):204–211
Gomes LFAM, Lima MMPP (1992) TODIM: basics and application to multicriteria ranking of projects with environmental impacts. Found Comput Decis Sci 16(4):113–127
Hajighasemi Z, Mousavi SM (2018) 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 15(1):139–161
Hashemi H, Bazargan J, Mousavi SM (2013) A compromise ratio method with an application to water resources management: an intuitionistic fuzzy set. Water Resour Manag 27:2029–2051
Hwang CL, Yoon K (1981) Multiple attribute decision making: a state of the art survey. In: Lecture notes in economics and mathematical systems, vol 186
Jato-Espino D, Castillo-Lopez E, Rodriguez-Hernandez J, Canteras-Jordana JC (2014) A review of application of multi-criteria decision making methods in construction. Autom Constr 45:151–162
Keshavarz Ghorabaee M (2016) Developing an MCDM method for robot selection with interval type-2 fuzzy sets. Robot Comput Integr Manuf 37:221–232
Keshavarz Ghorabaee M, Amiri M, Sadaghiani JS, Goodarzi GH (2014) Multiple criteria group decision-making for supplier selection based on COPRAS method with interval type-2 fuzzy sets. Int J Adv Manuf Technol 75(5–8):1115–1130
Keshavarz Ghorabaee M, Zavadskas EK, Amiri M, Esmaeili A (2016) Multi-criteria evaluation of green suppliers using an extended WASPAS method with interval type-2 fuzzy sets. J Clean Prod 137:213–229
Krohling RA, Pacheco AG (2014) Interval-valued intuitionistic fuzzy TODIM. Procedia Comput Sci 31:236–244
Krohling RA, Pacheco AG, Siviero AL (2013) IF-TODIM: an intuitionistic fuzzy TODIM to multi-criteria decision making. Knowl Based Syst 53:142–146
Li DF (2011) Extension principles for interval-valued intuitionistic fuzzy sets and algebraic operations. Fuzzy Optim Decis Mak 10(1):45–58
Liu HC, Ren ML, Wu J, Lin QL (2014) An interval 2-tuple linguistic MCDM method for robot evaluation and selection. Int J Prod Res 52(10):2867–2880
Liu W, Li L (2015) An approach to determining the integrated weights of decision makers based on interval number group decision matrices. Knowl Based Syst 90:92–98
Lourenzutti R, Krohling RA (2013) A study of TODIM in a intuitionistic fuzzy and random environment. Expert Syst Appl 40(16):6459–6468
Mohagheghi V, Mousavi SM, Siadat A (2016) 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, Aghamohagheghi M, Vahdani B (2017) A new approach of multi-criteria analysis for the evaluation and selection of sustainable transport investment projects under uncertainty: a case study. Int J Comput Intell Syst 10(1):605–626
Mohagheghi V, Mousavi SM, Vahdani B, Shahriari MR (2017) R&D project evaluation and project portfolio selection by a new interval type-2 fuzzy optimization approach. Neural Comput Appl 28(12):3869–3888
Mousavi SM, Vahdani B, Sadigh Behzadi S (2016) Designing a model of intuitionistic fuzzy VIKOR in multi-attribute group decision-making problems. Iran J Fuzzy Syst 13(1):45–65
Mousavi SM, Vahdani B (2016) Cross-docking location selection in distribution systems: a new intuitionistic fuzzy hierarchical decision model. Int J Comput Intell Syst 9(1):91–109
Mousavi-Nasab SH, Sotoudeh-Anvari A (2017) A comprehensive MCDM-based approach using TOPSIS, COPRAS and DEA as an auxiliary tool for material selection problems. Mater Des 121:237–253
Nassereddine M, Eskandari H (2017) An integrated MCDM approach to evaluate public transportation systems in Tehran. Transp Res Part A Policy Pract 106:427–439
Nayagam VLG, Jeevaraj S, Dhanasekaran P (2017) An intuitionistic fuzzy multi-criteria decision-making method based on non-hesitance score for interval-valued intuitionistic fuzzy sets. Soft Comput 21(23):7077–7082
Onat NC, Gumus S, Kucukvar M, Tatari O (2016) Application of the TOPSIS and intuitionistic fuzzy set approaches for ranking the life cycle sustainability performance of alternative vehicle technologies. Sustain Prod Consum 6:12–25
Otay İ, Oztaysi B, Onar SC, Kahraman C (2017) Multi-expert performance evaluation of healthcare institutions using an integrated intuitionistic fuzzy AHP&DEA methodology. Knowl Based Syst 133:90–106
Pal NR, Bustince H, Pagola M, Mukherjee UK, Goswami DP, Beliakov G (2013) Uncertainties with Atanassov’s intuitionistic fuzzy sets: fuzziness and lack of knowledge. Inf Sci 228:61–74
Qin J, Liu X, Pedrycz W (2017) An extended TODIM multi-criteria group decision making method for green supplier selection in interval type-2 fuzzy environment. Eur J Oper Res 258(2):626–638
Qin Q, Liang F, Li L, Chen YW, Yu GF (2017) A TODIM-based multi-criteria group decision making with triangular intuitionistic fuzzy numbers. Appl Soft Comput 55:93–107
Ren P, Xu Z, Liao H, Zeng XJ (2017) A thermodynamic method of intuitionistic fuzzy MCDM to assist the hierarchical medical system in China. Inf Sci 420:490–504
Rostamzadeh R, Keshavarz Ghorabaee M, Govindan K, Esmaeili A, Nobar HBK (2018) Evaluation of sustainable supply chain risk management using an integrated fuzzy TOPSIS-CRITIC approach. J Clean Prod 175:651–669
Sen DK, Datta S, Mahapatra SS (2015) Extension of TODIM combined with grey numbers: an integrated decision making module. Grey Syst Theory Appl 5(3):367–391
Vahdani B, Mousavi SM, Tavakkoli-Moghaddam R, Ghodratnama A, Mohammadi M (2014) Robot selection by a multiple criteria complex proportional assessment method under an interval-valued fuzzy environment. Int J Adv Manuf Technol 73(5–8):687–697
Vinodh S, Balagi TS, Patil A (2016) A hybrid MCDM approach for agile concept selection using fuzzy DEMATEL, fuzzy ANP and fuzzy TOPSIS. Int J Adv Manuf Technol 83(9–12):1979–1987
Wang P, Zhu Z, Wang Y (2016) A novel hybrid MCDM model combining the SAW, TOPSIS and GRA methods based on experimental design. Inf Sci 345:27–45
Wei C, Ren Z, Rodríguez RM (2015) A hesitant fuzzy linguistic TODIM method based on a score function. Int J Comput Intell Syst 8(4):701–712
Wei GW, Wang HJ, Lin R (2011) Application of correlation coefficient to interval-valued intuitionistic fuzzy multiple attribute decision-making with incomplete weight information. Knowl Inf Syst 26(2):337–349
Ye F (2010) An extended TOPSIS method with interval-valued intuitionistic fuzzy numbers for virtual enterprise partner selection. Expert Syst Appl 37(10):7050–7055
Yu SM, Wang J, Wang JQ (2018) An extended TODIM approach with intuitionistic linguistic numbers. Int Trans Oper Res 25(3):781–805
Zavadskas EK, Antucheviciene J, Hajiagha SHR, Hashemi SS (2014) Extension of weighted aggregated sum product assessment with interval-valued intuitionistic fuzzy numbers (WASPAS-IVIF). Appl Soft Comput 24:1013–1021
Zavadskas EK, Turskis Z, Antucheviciene J, Zakarevicius A (2012) Optimization of weighted aggregated sum product assessment/Svorinio agreguoto alternatyviu sprendimu vertinimo optimizavimas. Elektronika ir elektrotechnika 122(6):3–6
Zhang X, Xu Z (2015) Soft computing based on maximizing consensus and fuzzy topsis approach to interval-valued intuitionistic fuzzy group decision making. Appl Soft Comput 26:42–56
Zhao H, Xu Z, Yao Z (2016) Interval-valued intuitionistic fuzzy derivative and differential operations. Int J Comput Intell Syst 9(1):36–56
Acknowledgements
The authors would like to thank anonymous referees for their valuable comments and recommendations on this paper.
Author information
Authors and Affiliations
Contributions
The authors of this research confirm the change in authorship based on their contributions in the revised version.
Corresponding author
Ethics declarations
Conflict of interest
Authors declare that they have no conflict of interest.
Informed consent
Informed consent was not required as no human or animals were involved.
Human and animal rights
This article does not contain any studies with human or animal subjects performed by any of the authors.
Additional information
Publisher's Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
About this article
Cite this article
Davoudabadi, R., Mousavi, S.M. & Mohagheghi, V. A new last aggregation method of multi-attributes group decision making based on concepts of TODIM, WASPAS and TOPSIS under interval-valued intuitionistic fuzzy uncertainty. Knowl Inf Syst 62, 1371–1391 (2020). https://doi.org/10.1007/s10115-019-01390-x
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10115-019-01390-x