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Artificial Intelligence Review

Erschienen in:

03.07.2023

An improved TOPSIS method for multi-criteria decision making based on hesitant fuzzy β neighborhood

verfasst von: Chenxia Jin, Jusheng Mi, Fachao Li, Meishe Liang

Erschienen in: Artificial Intelligence Review | Sonderheft 1/2023

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Abstract

Multi-criteria Decision Making (MCDM) plays a very vital role in many application fields. There are many classical methods to solve the MCDM problems if the available information is crisp. However, the uncertainty and ambiguity inherent in the MCDM often makes these methods unsuitable for solving this kind of problem. Aims at the failures of TOPSIS method that can not rank the alternatives completely in a Hesitant Fuzzy β-Covering Approximation Space (HFβCAS), we develop an improved TOPSIS method. First, we define two pairs of hesitant fuzzy relationship based on hesitant fuzzy β-neighborhood, and construct the corresponding hesitant fuzzy covering rough set models; further we discuss the properties and relationships between the models. Second, we introduce a new comprehensive weight determination method by using the precision degree of hesitant fuzzy covering rough set and the maximizing deviation method. Third, we construct a γ-βCHF-TOPSIS method to MCDM which generalizes the TOPSIS method in an HFβCAS. Finally, two real decision-making problems are used to illustrate the concrete implementation process of γ-βCHF-TOPSIS method, and demonstrate its effectiveness and reasonability.

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Atanassov KT (1986) Intuitionistic fuzzy sets. Fuzzy Sets Syst 20:87–96CrossRefMATH

Baykasoglu A, Gölcük I (2017) Development of an interval type-2 fuzzy sets based hierarchical MADM model by combining DEMATEL and TOPSIS. Expert Syst Appl 70:37–51

Bilgili F, Zarali F, Ilgün MF, Dumrul C, Dumrul Y (2022) The evaluation of renewable energy alternatives for sustainable development in Turkey using intuitionistic fuzzy-TOPSIS method. Renew Energ 189:1443–1458

Brans JP, Vincke P, Mareschal B (1986) How to select and how to rank projects: the PROMETHEE method. Eur J Oper Res 24:228–238MathSciNetMATH

Camerer C (1998) Bounded rationality in individual decision making. Exp Econ 1(2):163–183MATH

Chen C (2000) Extensions of the TOPSIS for group decision making under fuzzy environment. Fuzzy Set Syst 114:1–9MATH

Chen C, Lin C, Huang SF (2006) A fuzzy approach for supplier evaluation and selection in supply chain management. Int J Prod Econ 102(2):289–301

Gomes L, Lima M (1992) TODIM: basic and application to multicriteria ranking of projects with environmental impacts. Found Comput Decis Sci 16(4):113–127MATH

Hadi-Vencheh A, Mirjaberi M (2014) Fuzzy inferior ratio method for multiple attribute decision making problems. Inf Sci 277:263–272MathSciNetMATH

Han Q, Li W, Xu Q, Song Y, Fan C, Zhao M (2022) Novel measures for linguistic hesitant Pythagorean fuzzy sets and improved TOPSIS method with application to contributions of system-of-systems. Expert Syst Appl 199:117088

Harsanyi JC (1955) Cardinal welfare, individualistic ethics and interpersonal comparisons of utility. J Polit Econ 63(4):309–332

Hatami-Marbini A, Kangi F (2017) An extension of fuzzy TOPSIS for a group decision making with an application to tehran stock exchange. Appl Soft Comput 52:1084–1097

Hwang C, Yoon K (1981) Multiple attributes decision making methods and applications. Springer, BerlinMATH

Jiang H, Zhan J, Chen D (2020) PROMETHEE II method based on variable precision fuzzy rough sets with fuzzy neighborhoods. Artif Intell Rev. https://doi.org/10.1007/s10462-020-09878-7CrossRef

Kahneman D, Tversky A (2013) Prospect theory: an analysis of decision under risk. Handbook Fundam Financ Decis Mak: Part I:99–127MATH

Li J, Chen Q (2020) An outranking method for multicriteria decision making with probabilistic hesitant information. Expert Syst. https://doi.org/10.1111/exsy.12513CrossRef

Liang D, Xu Z (2017) The new extension of TOPSIS method for multiple criteria decision making with hesitant Pythagorean fuzzy sets. Appl Soft Comput 60:167–179

Liang W, Goh M, Wang Y (2020) Multi-attribute group decision making method based on prospect theory under hesitant probabilistic fuzzy environment. Comput Ind Eng 149:106804

Liao H, Xu Z (2013) A VIKOR-based method for hesitant fuzzy multi-criteria decision making. Fuzzy Optim Decis Ma 12(4):373–392MathSciNetMATH

Liao H, Xu Z, Zeng X (2015) Hesitant fuzzy linguistic VIKOR method and its application in qualitative multiple criteria decision making. IEEE Trans Fuzzy Syst 23(5):1343–1355

Lin M, Zhan Q, Xu Z (2020) Decision making with probabilistic hesitant fuzzy information based on multiplicative consistency. Int J Intell Syst 35:1233–1261

Luo MX, Zhang Y (2020) A new similarity measure between picture fuzzy sets and its application. Eng Appl Artif Intel 96:103956

Ma X, Zhan J, Sun B, José Carlos RA (2020) Novel classes of coverings based multigranulation fuzzy rough sets and corresponding applications to multiple attribute group decision-making. Artif Intell Rev 53:6197–6256

Mahmoudi A, Sadi-Nezhad S, Makui A, Vakili MR (2016) An extension on PROMETHEE based on the typical hesitant fuzzy sets to solve multi-attribute decision-making problem. Kybernetes 45(8):1213–1231

Merigó JM, Gil-Lafuente AM (2010) New decision-making techniques and their application in the selection of financial products. Inf Sci 180(11):2085–2094MathSciNetMATH

Moslem S (2023) A novel parsimonious best worst method for evaluating travel mode choice. IEEE ACCESS 11:16768–16773

Ocampo L, Tanaid RA, Tiu AM, Selerio E Jr, Yamagishi K (2021) Classifying the degree of exposure of customers to COVID-19 in the restaurant industry: a novel intuitionistic fuzzy set extension of the TOPSIS-Sort. Appl Soft Comput 113:107906

Opricovic S, Tzeng GH (2007) Extended VIKOR method in comparison with outranking methods. Eur J Oper Res 178:514–529MATH

Pamucar D, Petrovic I, Cirovic G (2018) Modification of the best-worst and MABAC methods: a novel approach based on interval-valued fuzzy rough numbers. Expert Syst Appl 91:89–106

Paternain D, Jurio A, Barrenechea E, Bustince H, Bedregal B, Szmidt E (2012) An alternative to fuzzy methods in decision-making problems. Fuzzy Sets Syst 39:7729–7735

Pawlak Z (1982) Rough sets. Int J Comput Inf Sci 11:341–356MATH

Rezaei J (2015) Best-worst multi-criteria decision-making method. Omega 53:49–57

Roszkowska E, Kacprzak D (2016) The fuzzy saw and fuzzy TOPSIS procedures based on ordered fuzzy numbers. Inf Sci 369:564–584MATH

Sadi-Nezhad S, Damghani KK (2010) Application of a fuzzy TOPSIS method base on modified preference ratio and fuzzy distance measurement in assessment of traffic police centers performance. Appl Soft Comput 10:1028–1039

Saraji MK, Mardani A, Köppen M, Mishra AR, Rani P (2022) An extended hesitant fuzzy set using SWARA-MULTIMOORA approach to adapt online education for the control of the pandemic spread of COVID-19 in higher education institutions. Artif Intell Rev 55:181–206

Senapati T, Yager RR (2019) Fermatean fuzzy weighted averaging/geometric operators and its application in multi-criteria decision-making methods. Eng Appl Artif Intel 85:112–121

Senapati T, Yager RR (2020) Fermatean fuzzy sets. J Amb Intel Hum Comp 11:663–674

Stanković M, Stević Ž, Das DK, Subotić M, Pamučar D (2020) A new fuzzy MARCOS method for road traffic risk analysis. Mathematics 8(3):457–474

Stević Ž, Pamučar D, Puška A, Chatterjee P (2020) Sustainable supplier selection in healthcare industries using a new MCDM method: measurement of alternatives and ranking according to compromise solution (MARCOS). Comput Ind Eng 140:106231

Sun G, Guan X, Yi X, Zhou Z (2018) An innovative TOPSIS approach based on hesitant fuzzy correlation coefficient and its applications. Appl Soft Comput 68:249–267

Sun B, Tong S, Ma W, Wang T, Jiang C (2021) An approach to MCGDM based on multi-granulation Pythagorean fuzzy rough set over two universes and its application to medical decision problem. Artif Intell Rev 55:1887–1913

Tapas KP, Madhumangal P, Chiranjibe J (2021) Multi-attribute decision making method using advanced Pythagorean fuzzy weighted geometric operator and their applications for real estate company selection. Heliyon. https://doi.org/10.1016/j.heliyon.2021.e07340CrossRef

Torra V (2010) Hesitant fuzzy sets. Int J Intell Syst 25(6):529–539MATH

Wang Y (1998) Using the method of maximizing deviations to make decision for multi-indices. System Eng Electron 7:24–26

Wang C, Chen S (2017) Multiple attribute decision making based on interval-valued intuitionistic fuzzy sets, linear programming methodology, and the extended TOPSIS method. Inf Sci 397–398:155–167

Xia M, Xu Z (2011) Hesitant fuzzy information aggregation in decision making. Int J Approx Reason 52:395–407MathSciNetMATH

Xia M, Xu Z (2013) Managing hesitant information GDM problems under fuzzy and multiplicative preference relations. Internat J Uncertain Fuzziness Knowledge-Based Syst 21(06):865–897MathSciNetMATH

Xia M, Xu Z, Chen N (2013) Some hesitant fuzzy aggregation operators with their application in group decision making. Group Decis Negot 22(2):259–279

Xian S, Liu R, Yang Z, Li X (2022) Intuitionistic principal value Z-linguistic hybrid geometric operator and their applications for multi-attribute group decision-making. Artif Intell Rev 55:3863–3896

Xu Z, Xia M (2011) Distance and similarity measures for hesitant fuzzy sets. Inf Sci 181:2128–2138MathSciNetMATH

Xu Z, Zhang X (2013) Hesitant fuzzy multi-attribute decision making based on TOPSIS with incomplete weight information. Knowl-Based Syst 52:53–64

Xu Z, Zhang S (2019) An overview on the applications of the hesitant fuzzy sets in group decision-making: theory, support and methods. Front Eng Manag 6:163

Yue Z (2011) An extended TOPSIS for determining weights of decision makers with interval numbers. Knowl-Based Syst 24:146–153

Zadeh LA (1965) Fuzzy sets. Inform Control 8(3):338–353MATH

Zhai L, Khoo L, Zhong Z (2007) A rough set enhanced fuzzy approach to quality function deployment. Int J Adv Manuf Technol 37(5–6):613–624

Zhan J, Sun B, José Carlos RA (2019) Covering based multigranulation (I, T )-fuzzy rough set models and applications in multi-attribute group decision-making. Inf Sci 476:290–318MathSciNetMATH

Zhan J, Sun B, Zhang X (2020) PF-TOPSIS method based on CPFRS models: an application to unconventional emergency events. Comput Ind Eng 139:106192

Zhang X, Xu Z (2014) The TODIM analysis approach based on novel measured functions under hesitant fuzzy environment. Knowl-Based Syst 61:48–58

Zhang Z, Wang C, Tian X (2015) A decision support model for group decision making with hesitant fuzzy preference relations. Knowl-Based Syst 86:77–101

Zhang H, Shu L, Xiong L (2019a) On novel hesitant fuzzy rough sets. Soft Comput 23:11357–11371MATH

Zhang K, Zhan J, Wu W, José Carlos RA (2019b) Fuzzy-covering based (I, T)-fuzzy rough set models and applications to multi-attribute decision-making. Comput Ind Eng 128:605–621

Zhang K, Zhan J, Yao Y (2019c) TOPSIS method based on a fuzzy covering approximation space: an application to biological nano-materials selection. Inf Sci 502:297–329

Zhang K, Zhan J, Wu W (2020a) On multi-criteria decision-making method based on a fuzzy rough set model with fuzzy α-neighborhoods. IEEE Trans Fuzzy Syst. https://doi.org/10.1109/TFUZZ.2020.3001670CrossRef

Zhang K, Zhan J, Yao Y (2020b) Intuitionistic fuzzy TOPSIS method based on CVPIFRS models: an application to biomedical problems. Inf Sci 517:315–339MathSciNet

Zhang K, Dai J, Xu Z (2021) The criterion-oriented three-way ranking and clustering strategies in fuzzy decision environments. IEEE Trans Fuzzy Syst. https://doi.org/10.1109/TFUZZ.2021.3131380CrossRef

Zhao XK, Zhu XM, Bai KY, Zhang RT (2023) A novel failure mode and effect analysis method using a flexible knowledge acquisition framework based on picture fuzzy sets. Eng Appl Artif Intel 117:105625

Titel: An improved TOPSIS method for multi-criteria decision making based on hesitant fuzzy β neighborhood
verfasst von: Chenxia Jin
Jusheng Mi
Fachao Li
Meishe Liang
Publikationsdatum: 03.07.2023
Verlag: Springer Netherlands
Erschienen in: Artificial Intelligence Review / Ausgabe Sonderheft 1/2023
Print ISSN: 0269-2821
Elektronische ISSN: 1573-7462
DOI: https://doi.org/10.1007/s10462-023-10510-7

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