Nothing Special   »   [go: up one dir, main page]

skip to main content
research-article

Intuitionistic fuzzy MABAC method based on cumulative prospect theory for multiple attribute group decision making

Published: 24 September 2021 Publication History

Abstract

Intuitionistic fuzzy sets are often employed to depict complex and uncertain environments. The purpose of this article is to construct a new approach for dealing with multiattribute group decision making (MAGDM) problems. In this paper, we introduce the concept of cumulative prospect theory (CPT) into the original multiattributive border approximation area comparison (MABAC) method and create the intuitionistic fuzzy MABAC method based on CPT (CPT‐IF‐MABAC method). The new CPT‐IF‐MABAC method not only has fairly strong operability, but also inherits the characteristic of CPT that considers the influence of decision makers' attitude. Furthermore, this new model mixes together the determination method of attribute weight and alternative. At the end, the stability and availability of this method are demonstrated through an application instance about cold chain and the comparison with the existing methods, such as IF‐MULTIMOORA method and IF‐VIKOR method. In the future, we devote ourselves to explore more applications of this new proposed method and other more effective solutions for MAGDM.

References

[1]
Zadeh LA. Fuzzy sets. Infom Contr. 1965;8:338‐356.
[2]
Chen T‐Y. New Chebyshev distance measures for Pythagorean fuzzy sets with applications to multiple criteria decision analysis using an extended ELECTRE approach. Expert Syst Appl. 2019;147:113164.
[3]
Firozja MA, Agheli B, Jamkhaneh EB. A new similarity measure for Pythagorean fuzzy sets. Complex Intell Syst. 2020;6:67‐74.
[4]
Thao NX. A new correlation coefficient of the Pythagorean fuzzy sets and its applications. Soft Comput. 2020;24:9467‐9478.
[5]
He TT, Wei GW, Lin R, Lu JP, Wei C, Wu J. Pythagorean interval 2‐tuple linguistic VIKOR method for evaluating human factors in construction project management. Iranian J Fuzzy Syst. 2020;17:93‐105.
[6]
He T, Wei G, Wu J, Wei C. QUALIFLEX method for evaluating human factors in construction project management with Pythagorean 2‐tuple linguistic information. J Intell Fuzzy Syst. 2021;40:4039‐4050.
[7]
He T, Wei G, Lu J, Wu J, Wei C, Guo Y. A novel EDAS based method for multiple attribute group decision making with pythagorean 2‐tuple linguistic information. Technol Econ Devel Economy. 2020;26:1125‐1138.
[8]
Zhang WR. Yinyang bipolar fuzzy sets and fuzzy equilibrium relations: for clustering, optimization, and global regulation. Int J Inform Technol Decision Making. 2006;5:19‐46.
[9]
Lan J, Wu J, Guo Y, Wei C, Wei G, Gao H. CODAS methods for multiple attribute group decision making with interval‐valued bipolar uncertain linguistic information and their application to risk assessment of Chinese enterprises' overseas mergers and acquisitions. Econ Res‐Ekonomska Istraživanja. 2021:1‐17. https://doi.org/10.1080/1331677X.1332020.1868323
[10]
Zhao M, Wei G, Wei C, Guo Y. CPT‐TODIM method for bipolar fuzzy multi‐attribute group decision making and its application to network security service provider selection. Int J Intell Syst. 2021;36:1943‐1969.
[11]
Arya V, Kumar S. A novel TODIM‐VIKOR approach based on entropy and Jensen‐Tsalli divergence measure for picture fuzzy sets in a decision‐making problem. Int J Intell Syst. 2020;35:2140‐2180.
[12]
Ganie AH, Singh S, Bhatia PK. Some new correlation coefficients of picture fuzzy sets with applications. Neural Comput. Appl. 2020;32:12609‐12625.
[13]
Wei GW, Zhang SQ, Lu JP, Wu J, Wei C. An extended bidirectional projection method for picture fuzzy MAGDM and its application to safety assessment of construction project. IEEE Access. 2019;7:166138‐166147.
[14]
Jiang Z, Wei G, Wu J, Chen X. CPT‐TODIM method for picture fuzzy multiple attribute group decision making and its application to food enterprise quality credit evaluation. J Intell Fuzzy Syst. 2021;4:10115‐10128.
[15]
Lu J, Zhang S, Wu J, Wei Y. COPRAS method for multiple attribute group decision making under picture fuzzy environment and their application to green supplier selection. Technol Econ Devel Economy. 2021;27:369‐385.
[16]
Dahooie JH, Vanaki AS, Mohammadi N. Choosing the appropriate system for cloud computing implementation by using the interval‐valued intuitionistic fuzzy CODAS multiattribute decision‐making method (Case Study: Faculty of New Sciences and Technologies of Tehran University). IEEE Trans Eng Manage. 2020;67:855‐868.
[17]
Liu YN, Jiang W. A new distance measure of interval‐valued intuitionistic fuzzy sets and its application in decision making. Soft Comput. 2020;24:6987‐7003.
[18]
Chen SM, Chu YC. Multiattribute decision making based on U‐quadratic distribution of intervals and the transformed matrix in interval‐valued intuitionistic fuzzy environments. Inf Sci 2020;537:30‐45.
[19]
Wan SP, Li DF. Fuzzy mathematical programming approach to heterogeneous multiattribute decision‐making with interval‐valued intuitionistic fuzzy truth degrees. Inf Sci. 2015;325:484‐503.
[20]
Yu GF, Li DF, Fei W. A novel method for heterogeneous multi‐attribute group decision making with preference deviation. Comput Ind Eng. 2018;124:58‐64.
[21]
Yu GF, Li DF, Qiu JM, Zheng XX. Some operators of intuitionistic uncertain 2‐tuple linguistic variables and application to multi‐attribute group decision making with heterogeneous relationship among attributes. J Intell Fuzzy Syst. 2018;34:599‐611.
[22]
Chen SM, Yang MW, Yang SW, Sheu TW, Liau CJ. Multicriteria fuzzy decision making based on interval‐valued intuitionistic fuzzy sets. Expert Syst Appl. 2012;39:12085‐12091.
[23]
Wan SP, Li DF. Possibility mean and variance based method for multi‐attribute decision making with triangular intuitionistic fuzzy numbers. J Intell Fuzzy Syst. 2013;24:743‐754.
[24]
Zhang ZM. Generalized Atanassov's intuitionistic fuzzy power geometric operators and their application to multiple attribute group decision making. Inform Fusion. 2013;14:460‐486.
[25]
Liang RX, He SS, Wang JQ, Chen K, Li L. An extended MABAC method for multi‐criteria group decision‐making problems based on correlative inputs of intuitionistic fuzzy information. Comput Appl Math. 2019;38:112.
[26]
Mishra AR, Mardani A, Rani P, Zavadskas EK. A novel EDAS approach on intuitionistic fuzzy set for assessment of health‐care waste disposal technology using new parametric divergence measures. J Clean Prod. 2020;272:122807.
[27]
Zhou W, Xu ZS. Envelopment analysis, preference fusion, and membership improvement of intuitionistic fuzzy numbers. IEEE Trans Fuzzy Syst. 2020;28:2119‐2130.
[28]
Zou XY, Chen SM, Fan KY. Multiple attribute decision making using improved intuitionistic fuzzy weighted geometric operators of intuitionistic fuzzy values. Inf Sci. 2020;535:242‐253.
[29]
Yang MS, Hussain Z, Ali M. Belief and plausibility measures on intuitionistic fuzzy sets with construction of belief‐plausibility TOPSIS. Complexity. 2020;2020:1‐12.
[30]
Faizi S, Salabun W, Rashid T, Zafar S, Watrobski J. Intuitionistic fuzzy sets in multi‐criteria group decision making problems using the characteristic objects method. Symmetry. 2020;12:1382.
[31]
Zhao M, Wei G, Wei C, Wu J, Wei Y. Extended CPT‐TODIM method for interval‐valued intuitionistic fuzzy MAGDM and its application to urban ecological risk assessment. J Intell Fuzzy Syst. 2021;40:4091‐4106.
[32]
Wei G, Wu J, Guo Y, Wang J, Wei C. An extended COPRAS model for multiple attribute group decision making based on single‐valued neutrosophic 2‐tuple linguistic environment. Technol Econ Devel Economy. 2021;27:353‐368.
[33]
Hashemkhani Zolfani S, Rezaeiniya N, Pourhossein M, Zavadskas EK. Decision making on advertisement strategy selection based on life cycle of products by applying FAHP and TOPSIS GREY: growth stage perspective; a case about food industry in Iran. Inzinerine Ekonomika‐Eng Econ. 2012;23:471‐484.
[34]
Dadelo S, Turskis Z, Zavadskas EK, Dadeliene R. Integrated multi‐criteria decision making model based on wisdom‐of‐crowds principle for selection of the group of elite security guards. Archiv Budo. 2013;9:135‐147.
[35]
He T, Zhang S, Wei G, Wang R, Wu J, Wei C. CODAS method for 2‐tuple linguistic pythagorean fuzzy multiple attribute group decision making and its application to financial management performance assessment. Technol Econ Devel Economy. 2020;26:920‐932.
[36]
Cavallaro F, Zavadskas EK, Streimikiene D, Mardani A. Assessment of concentrated solar power (CSP) technologies based on a modified intuitionistic fuzzy topsis and trigonometric entropy weights. Technol Forecase Soc. 2019;140:258‐270.
[37]
Mousavi SM, Antucheviciene J, Zavadskas EK, Vahdani B, Hashemi H. A new decision model for cross‐docking center location in logistics networks under interval‐valued intuitionistic fuzzy uncertainty. Transport. 2019;34:30‐40.
[38]
Stanujkic D, Zavadskas EK, Karabasevic D, Milanovic D, Maksimovic M. An approach to solving complex decision‐making problems based on IVIFNs: a case of comminution circuit design selection. Miner Eng. 2019;138:70‐78.
[39]
Zeng SZ, Wang QF, Merigo JM, Pan TJ. Induced intuitionistic fuzzy ordered weighted averaging ‐ weighted average operator and its application to business decision‐making. Comput Sci Inform Syst. 2014;11:839‐857.
[40]
Deb M, Kaur P. Intuitionistic fuzzy‐based multi‐attribute decision‐making approach for selection of inventory policy. In: Sahana SK, Saha SK, eds. Advances in Computational Intelligence. Singapore: Springer; 2017:45‐54.
[41]
Liang MS, Mi JS, Feng T, Xie B. Multi‐adjoint based group decision‐making under an intuitionistic fuzzy information system. Int J Computat Intell Syst. 2019;12:172‐182.
[42]
Zhao M, Wei G, Wu J, Guo Y, Wei C. TODIM method for multiple attribute group decision making based on cumulative prospect theory with 2‐tuple linguistic neutrosophic sets. Int J Intell Syst. 2021;36:1199‐1222.
[43]
Gupta P, Mehlawat MK, Grover N. A generalized TOPSIS method for intuitionistic fuzzy multiple attribute group decision making considering different scenarios of attributes weight information. Int J Fuzzy Syst. 2019;21:369‐387.
[44]
Liu PD, Wang YM. Intuitionistic fuzzy interaction hamy mean operators and their application to multi‐attribute group decision making. Group Decision Negotiation. 2019;28:197‐232.
[45]
Liu Y, Liu J, Qin Y. Dynamic intuitionistic fuzzy multiattribute decision making based on evidential reasoning and MDIFWG operator. J Intell Fuzzy Syst. 2019;36:5973‐5987.
[46]
Shi MH, Xiao QX. Intuitionistic fuzzy reducible weighted Maclaurin symmetric means and their application in multiple‐attribute decision making. Soft Comput. 2019;23:10029‐10043.
[47]
Liang WZ, Zhao GY, Wu H, Dai B. Risk assessment of rockburst via an extended MABAC method under fuzzy environment. Tunnelling Underground Space Technol. 2019;83:533‐544.
[48]
Xian SD, Wan WH, Yang ZJ. Interval‐valued Pythagorean fuzzy linguistic TODIM based on PCA and its application for emergency decision. Int J Intelligent Syst. 2020;35:2049‐2086.
[49]
He T, Wei G, Lin R, Lu J, Wei C, Wu J. Pythagorean interval 2‐tuple linguistic VIKOR method for evaluating human factors in construction project management, Iran. J Fuzzy Syst. 2020;17:93‐105.
[50]
Pamucar D, Cirovic G. The selection of transport and handling resources in logistics centers using multi‐attributive border approximation area compariMulti‐Attributive Border Approximation area Comparison (MABAC). Expert Syst Appl. 2015;42:3016‐3028.
[51]
Wei GW, Wei C, Wu J, Wang HJ. Supplier selection of medical consumption products with a probabilistic linguistic MABAC method. Int J Environ Res Public Health. 2019;16:5082.
[52]
Jia F, Liu YY, Wang XY. An extended MABAC method for multi‐criteria group decision making based on intuitionistic fuzzy rough numbers. Expert Syst Appl. 2019;127:241‐255.
[53]
Luo SZ, Xing LN. A hybrid decision making framework for personnel selection using BWM, MABAC and PROMETHEE. Int J Fuzzy Syst. 2019;21:2421‐2434.
[54]
Zhang SQ, Wei GW, Alsaadi FE, Hayat T, Wei C, Zhang ZP. MABAC method for multiple attribute group decision making under picture 2‐tuple linguistic environment. Soft Comput. 2020;24:5819‐5829.
[55]
Dorfeshan Y, Mousavi SM. A novel interval type‐2 fuzzy decision model based on two new versions of relative preference relation‐based MABAC and WASPAS methods (with an application in aircraft maintenance planning). Neural Comput Appl. 2020;32:3367‐3385.
[56]
Sahin R, Altun F. Decision making with MABAC method under probabilistic single‐valued neutrosophic hesitant fuzzy environment. J Ambient Intell Humanized Comput. 2020;11:4195‐4212.
[57]
Tversky A, Kahneman D. Advances in prospect theory: cumulative representation of uncertainty. J Risk Uncertain. 1992;5:297‐323.
[58]
Atanassov KT. Intuitionistic fuzzy sets. Fuzzy Sets Syst. 1986;20:87‐96.
[59]
Xu ZS, Yager RR. Some geometric aggregation operators based on intuitionistic fuzzy sets. Int J General Syst. 2006;35:417‐433.
[60]
Huang YB, Jiang W. Extension of TOPSIS method and its application in investment. Arab J Sci Eng. 2018;43:693‐705.
[61]
Ding QY, Wang YM. Intuitionistic fuzzy TOPSIS multi‐attribute decision making method based on revised scoring function and entropy weight method. J Intell Fuzzy Syst. 2019;36:625‐635.
[62]
Mou Q, Xu ZS, Liao HC. A graph based group decision making approach with intuitionistic fuzzy preference relations. Comput Ind Eng. 2017;110:138‐150.
[63]
Wang YN, Zhang Z, Sun H. Assessing customer satisfaction of urban rail transit network in tianjin based on intuitionistic fuzzy group decision model. Discrete Dyn Nat Soc. 2018;2018:11.
[64]
Luo X, Wang XZ. Extended VIKOR method for intuitionistic fuzzy multiattribute decision‐making based on a new distance measure. Math. Probl. Eng. 2017;2017. https://doi.org/10.1155/2017/4072486
[65]
Wang W, Xin X. Distance measure between intuitionistic fuzzy sets. Pattern Recog Letters. 2005;26:2063‐2069.
[66]
Xu ZS. Intuitionistic fuzzy aggregation operators. IEEE Trans Fuzzy Syst. 2007;15:1179‐1187.
[67]
Kahneman Daniel, Tversky Amos. Prospect theory: an analysis of decision under risk. Econometrica. 1979;47:263‐291.
[68]
Zhang XF, Gou XJ, Xu ZS, Liao HC. A projection method for multiple attribute group decision making with probabilistic linguistic term sets. Int J Mach Learn Cybern. 2019;10:2515‐2528.
[69]
Kahneman T. Advances in prospect theory: cumulative representation of uncertainty. J Risk Uncertain. 1992;5:297‐323.
[70]
Zhang CH, Chen C, Streimikiene D, Balezentis T. Intuitionistic fuzzy MULTIMOORA approach for multi‐criteria assessment of the energy storage technologies. Appl Soft Comput. 2019;79:410‐423.
[71]
Zeng SZ, Chen SM, Kuo LW. Multiattribute decision making based on novel score function of intuitionistic fuzzy values and modified VIKOR method. Inf Sci. 2019;488:76‐92.

Cited By

View all
  • (2024)An entropy-based group decision-making approach for software quality evaluationExpert Systems with Applications: An International Journal10.1016/j.eswa.2023.121979238:PCOnline publication date: 27-Feb-2024
  • (2024)An integrated CRITIC-MABAC model under 2-tuple linguistic cubic q-rung orthopair fuzzy information with advanced aggregation operators, designed for multiple attribute group decision-makingThe Journal of Supercomputing10.1007/s11227-024-06419-980:19(27244-27302)Online publication date: 1-Dec-2024
  • (2024)An approach for 2-tuple linguistic q-rung orthopair fuzzy MAGDM for the evaluation of historical sites with power Heronian meanThe Journal of Supercomputing10.1007/s11227-023-05678-280:5(6435-6485)Online publication date: 1-Mar-2024
  • Show More Cited By

Recommendations

Comments

Please enable JavaScript to view thecomments powered by Disqus.

Information & Contributors

Information

Published In

cover image International Journal of Intelligent Systems
International Journal of Intelligent Systems  Volume 36, Issue 11
November 2021
831 pages
ISSN:0884-8173
DOI:10.1002/int.v36.11
Issue’s Table of Contents

Publisher

John Wiley and Sons Ltd.

United Kingdom

Publication History

Published: 24 September 2021

Author Tags

  1. cumulative prospect theory
  2. intuitionistic fuzzy sets
  3. MABAC
  4. multiple attribute group decision making

Qualifiers

  • Research-article

Contributors

Other Metrics

Bibliometrics & Citations

Bibliometrics

Article Metrics

  • Downloads (Last 12 months)0
  • Downloads (Last 6 weeks)0
Reflects downloads up to 05 Mar 2025

Other Metrics

Citations

Cited By

View all
  • (2024)An entropy-based group decision-making approach for software quality evaluationExpert Systems with Applications: An International Journal10.1016/j.eswa.2023.121979238:PCOnline publication date: 27-Feb-2024
  • (2024)An integrated CRITIC-MABAC model under 2-tuple linguistic cubic q-rung orthopair fuzzy information with advanced aggregation operators, designed for multiple attribute group decision-makingThe Journal of Supercomputing10.1007/s11227-024-06419-980:19(27244-27302)Online publication date: 1-Dec-2024
  • (2024)An approach for 2-tuple linguistic q-rung orthopair fuzzy MAGDM for the evaluation of historical sites with power Heronian meanThe Journal of Supercomputing10.1007/s11227-023-05678-280:5(6435-6485)Online publication date: 1-Mar-2024
  • (2023)A novel group decision making model based on Interval neutrosophic sets for product modeling design quality evaluationJournal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology10.3233/JIFS-23382545:6(9771-9783)Online publication date: 1-Jan-2023
  • (2023)Research on lean management and innovation capability evaluation of technological small and medium sized enterprises under probabilistic hesitant fuzzy setsJournal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology10.3233/JIFS-23340345:5(8959-8972)Online publication date: 4-Nov-2023
  • (2023)Combinative-distance-based assessment approach for the evaluation of artificial intelligence cloud platforms using probabilistic linguistic hesitant fuzzy setsJournal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology10.3233/JIFS-23254645:6(11629-11646)Online publication date: 1-Jan-2023
  • (2023)Research on college physical education teaching effect evaluation based on probabilistic hesitant fuzzy QUALIFLEX methodJournal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology10.3233/JIFS-23176945:4(5659-5670)Online publication date: 1-Jan-2023
  • (2023)Sustainable competitiveness evaluation of regional financial centers with fuzzy number intuitionistic fuzzy TODIM algorithmsJournal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology10.3233/JIFS-22124744:5(7045-7057)Online publication date: 1-Jan-2023
  • (2023)An extended Exp-TODIM method for multiple attribute decision making based on the Z-Wasserstein distanceExpert Systems with Applications: An International Journal10.1016/j.eswa.2022.119114214:COnline publication date: 15-Mar-2023
  • (2023)TODIM-VIKOR method based on hybrid weighted distance under probabilistic uncertain linguistic information and its application in medical logistics center site selectionSoft Computing - A Fusion of Foundations, Methodologies and Applications10.1007/s00500-023-08132-w27:13(8541-8559)Online publication date: 25-Apr-2023
  • Show More Cited By

View Options

View options

Figures

Tables

Media

Share

Share

Share this Publication link

Share on social media