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Neural Computing and Applications
Erschienen in: Neural Computing and Applications 3/2016

01.04.2016 | Original Article

An outranking approach for multi-criteria decision-making problems with interval-valued neutrosophic sets

verfasst von: Hongyu Zhang, Jianqiang Wang, Xiaohong Chen

Erschienen in: Neural Computing and Applications | Ausgabe 3/2016

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Abstract

In this paper, a novel outranking approach for multi-criteria decision-making (MCDM) problems is proposed to address situations where there is a set of numbers in the real unit interval and not just a specific number with a neutrosophic set. Firstly, the operations of interval neutrosophic sets and their related properties are introduced. Then some outranking relations for interval neutrosophic numbers (INNs) are defined based on ELECTRE IV, and the properties of the outranking relations are further discussed in detail. Additionally, based on the outranking relations of INNs, a ranking approach is developed in order to solve MCDM problems. Finally, two practical examples are provided to illustrate the practicality and effectiveness of the proposed approach. Moreover, a comparison analysis based on the same examples is also conducted.
Vorheriger Artikel Evaluation of cursive and non-cursive scripts using recurrent neural networks
Nächster Artikel Global dissipativity of memristor-based complex-valued neural networks with time-varying delays

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Literatur
1.
2.
3.
4.
5.
6.
7.
8.
Liu HW, Wang GJ (2007) Multi-criteria methods based on intuitionistic fuzzy sets. Eur J Oper Res 179:220–233CrossRefMATH
9.
Zhi P, Li Z (2012) A novel approach to multi-attribute decision making based on intuitionistic fuzzy sets. Expert Syst Appl 39:2560–2566CrossRef
10.
Zeng SZ, Su WH (2011) Intuitionistic fuzzy ordered weighted distance operator. Knowl Based Syst 24(8):1224–1232CrossRef
11.
Shinoj TK, Sunil JJ (2012) Intuitionistic fuzzy multisets and its application in medical diagnosis. Int J Math Comput Sci 6:34–37
12.
Sotirov S, Sotirova E, Orozova D (2009) Neural network for defining intuitionistic fuzzy sets in e-learning. NIFS 15:33–36
13.
14.
Chaira T (2011) A novel intuitionistic fuzzy C means clustering algorithm and its application to medical images. Appl Soft Comput 11:1711–1717CrossRef
15.
Joshi BP, Kumar S (2012) Fuzzy time series model based on intuitionistic fuzzy sets for empirical research in stock market. Int J Appl Evol Comput 3:71–84CrossRef
16.
17.
Wang J-Q, Nie R, Zhang H-Y, Chen X-H (2013) New operators on triangular intuitionistic fuzzy numbers and their applications in system fault analysis. Inf Sci 251:79–95MathSciNetCrossRefMATH
18.
Torra V (2010) Hesitant fuzzy sets. Int J Intell Syst 25:529–539MATH
19.
Torra V, Narukawa Y (2009). On hesitant fuzzy sets and decision. In: Proceedings of the 18th IEEE international conference on fuzzy systems, Jeju Island, Korea, pp 1378–1382
20.
Wang J-Q, Wu J-T, Wang J, Zhang H-Y, Chen X-H (2014) Interval-valued hesitant fuzzy linguistic sets and their applications in multi-criteria decision-making problems. Inf Sci 288:55–72MathSciNetCrossRef
21.
Wang J, Zhou P, Li K, Zhang H, Chen X (2014) Multi-criteria decision-making method based on normal intuitionistic fuzzy-induced generalized aggregation operator. TOP 22:1103–1122MathSciNetCrossRef
22.
Wang J, Wu J, Wnag J, Zhang H, Chen X (2015) Multi-criteria decision-making methods based on the Hausdorff distance of hesitant fuzzy linguistic numbers. Soft Comput. doi:10.​1007/​s00500-015-1609-5
23.
Wang J-Q, Peng J-J, Zhang H-Y, Liu T, Chen X-H (2015) An uncertain linguistic multi-criteria group decision-making method based on a cloud model. Group Decis Negot 24(1):171–192CrossRef
24.
Wei G (2010) Some induced geometric aggregation operators with intuitionistic fuzzy information and their application to group decision making. Appl Soft Comput 10(2):423–431CrossRef
25.
Wang H, Smarandache F, Zhang YQ, Sunderraman R (2010) Single valued neutrosophic sets. Multisp Multistruct 4:410–413MATH
26.
Smarandache F (1999) A unifying field in logics. Neutrosophy: neutrosophic probability, set and logic. American Research Press, RehobothMATH
27.
Smarandache F (2003) A unifying field in logics neutrosophic logic. Neutrosophy, neutrosophic set, neutrosophic probability. American Research Press, RehobothMATH
28.
29.
Majumdarar P, Samant SK (2014) On similarity and entropy of neutrosophic sets. J Intell Fuzzy Syst 26:1245–1252MathSciNet
30.
Ye J (2014) Single valued neutrosophic cross-entropy for multicriteria decision making problems. Appl Math Model 38(3):1170–1175MathSciNetCrossRef
31.
Ye J (2014) A multicriteria decision-making method using aggregation operators for simplified neutrosophic sets. J Intell Fuzzy Syst 26:2459–2466MathSciNetMATH
32.
Liu P, Wang Y (2014) Multiple attribute decision-making method based on single-valued neutrosophic normalized weighted Bonferroni mean. Neural Comput Appl. doi:10.​1007/​s00521-014-1688-8
33.
Peng J-J, Wang J-Q, Wang J, Zhang H-Y, Chen X-H (2015) Simplified neutrosophic sets and their applications in multi-criteria group decision-making problems. Int J Syst Sci. doi:10.​1080/​00207721.​2014.​994050
34.
Wang H, Smarandache F, Zhang Y-Q, Sunderraman R (2005) Interval neutrosophic sets and logic: theory and applications in computing. Hexis, ArizonaMATH
35.
Lupiáñez FG (2009) Interval neutrosophic sets and topology. Kybernetes 38(3/4):621–624CrossRefMATH
36.
Broumi S, Smarandache F (2015) New Operations on Interval Neutrosophic Sets. Journal of New Theory 1:24–37
37.
Broumi S, Smarandache F (2013) Correlation coefficient of interval neutrosophic set. Appl Mech Mater 436:511–517CrossRef
38.
Broumi S, Smarandache F (2014) Cosine similarity measure of interval valued neutrosophic sets. Neutrosophic Sets Syst 5:15–20
39.
Zhang HY, Wang JQ, Chen XH (2014) Interval neutrosophic sets and their application in multicriteria decision making problems. Sci World J 2014:645953
40.
Liu P, Shi L (2014) The generalized hybrid weighted average operator based on interval neutrosophic hesitant set and its application to multiple attribute decision making. Neural Comput Appl. doi:10.​1007/​s00521-014-1736-4
41.
Broumi S, Smarandache F (2014) Single valued neutrosophic trapezoid linguistic aggregation operators based multi-attribute decision making. Bull Pure Appl Sci Math Stat 33e(2):135–155CrossRef
42.
Broumi S, Ye J, Smarandache F (2014) An extended TOPSIS method for multiple attribute decision making based on interval neutrosophic uncertain linguistic variables. Neutrosophic Sets Syst 7:1–11
43.
Tian Z-P, Wang J, Zhang H-Y, Chen X-H, Wang J-Q (2015) Simplified neutrosophic linguistic normalized weighted Bonferroni mean operator and its application to multi-criteria decision-making problems. Filomat. doi:10.​2298/​FIL1508576F
44.
45.
Peng J-J, Wang J-Q, Wu X-H, Wang J, Chen X-H (2015) Multi-valued neutrosophic sets and power aggregation operators with their applications in multi-criteria group decision-making problems. Int J Comput Intell Syst 8(2):345–363CrossRef
46.
Cağman N, Deli İ (2012) Products of FP-soft sets and their applications. Hacet J Math Stat 41(3):365–374MathSciNetMATH
47.
Cağman N, Deli İ (2012) Means of FP-soft sets and their applications. Hacet J Math Stat 41(5):615–625MathSciNetMATH
48.
Deli İ, Cağman N (2015) Intuitionistic fuzzy parameterized soft set theory and its decision making. Appl Soft Comput 28:109–113CrossRef
49.
50.
Deli İ, Broumi S (2015) Neutrosophic soft relations and some properties. Ann Fuzzy Math Inf 9(1):169–182MathSciNetMATH
51.
Broumi S (2013) Generalized neutrosophic soft set. Int J Comput Sci Eng Inf Technol 3(2):17–30
52.
Broumi S, Deli İ, Smarandache F (2014) Relations on interval valued neutrosophic soft sets. J New Results Sci 5:1–10MATH
53.
Broumi S, Şahin R, Smarandache F (2014) Generalized interval neutrosophic soft set and its decision making problem. J New Results Sci 7:9–47
54.
Broumi S, Smarandache F (2014) Lower and upper soft interval valued neutrosophic rough approximations of an IVNSS-relation. SISOM Acoust 1:204–211
55.
56.
57.
Peng J-J, Wang J-Q, Zhang H-Y, Chen X-H (2014) An outranking approach for multi-criteria decision-making problems with simplified neutrosophic sets. Appl Soft Comput 25:336–346CrossRef
58.
Orner JL, Kirkwood CW (1991) Decision analysis applications in the operations research literature 1970–1989. Oper Res 39:206–219CrossRef
59.
Haurant P, Oberti P, Muselli M (2011) Multicriteria selection aiding related to photovoltaic plants on farming fields on Corsica island: a real case study using the ELECTRE outranking framework. Energy Policy 39(2):676–688CrossRef
60.
Figueira JR, Almeida-Dias J, Matias S, Roy B, Carvalho MJ, Plancha CE (2011) Electre Tri-C, a multiple criteria decision aiding sorting model applied to assisted reproduction. Int J Med Inf 80(4):262–273CrossRef
61.
Pasiouras F, Tanna S, Zopounidis C (2007) The identification of acquisition targets in the EU banking industry: an application of multicriteria approaches. Int Rev Financ Anal 16(3):262–281CrossRef
62.
Cavallaro F (2010) A comparative assessment of thin-film photovoltaic production processes using the ELECTRE III method. Energy Policy 38(1):463–474CrossRef
63.
Montazer GA, Saremi HQ, Ramezani M (2009) Design a new mixed expert decision aiding system using fuzzy ELECTRE III method for vendor selection. Expert Syst Appl 36(8):10837–10847CrossRef
64.
Abedi M, Torabi SA, Norouzi G-H, Hamzeh M (2012) ELECTRE III: a knowledge-driven method for integration of geophysical data with geological and geochemical data in mineral prospectivity mapping. J Appl Geophys 87:9–18CrossRef
65.
Roy B (1977) Partial preference analysis and decision-aid: the fuzzy outranking relation concept. In: Bell DE, Keeney RL, Raiffa H (eds) Conflicting objectives and decisions. Wiley, New York, pp 40–75
66.
Figueira JR, Greco S, Ehrgott M (2005) Multiple criteria decision analysis: state of the art surveys. Kluwer, BostonCrossRefMATH
67.
Almeida-Dias J, Figueira JR, Roy B (2010) ELECTRE TRI-C: a multiple criteria sorting method based on characteristic reference actions. Eur J Oper Res 204(3):565–580MathSciNetCrossRefMATH
68.
Chen T-Y (2014) An ELECTRE-based outranking method for multiple criteria group decision making using interval type-2 fuzzy sets. Inf Sci 263:1–21MathSciNetCrossRefMATH
69.
Xu J, Shen F (2014) A new outranking choice method for group decision making under Atanassov’s interval-valued intuitionistic fuzzy environment. Knowl Based Syst 70:177–188CrossRef
70.
Wang JQ, Wang DD, Zhang HY, Chen XH (2013) Multi-criteria outranking approach with hesitant fuzzy sets. OR Spectr 36(4):1001–1019MathSciNetCrossRefMATH
71.
Peng J, Wnag J, Wang J, Yang L, Chen X (2015) An extension of ELECTRE to Multi-criteria decision-making problems with multi-hesitant fuzzy sets. Inf Sci 307:113–126MathSciNetCrossRef
72.
Wang J-Q, Wang J, Chen Q-H, Zhang H-Y, Chen X-H (2014) An outranking approach for multi-criteria decision-making with hesitant fuzzy linguistic term sets. Inf Sci 280:338–351MathSciNetCrossRef
73.
Yang W-E, Wang J-Q (2013) Multi-criteria semantic dominance: a linguistic decision aiding technique based on incomplete preference information. Eur J Oper Res 231(1):171–181MathSciNetCrossRefMATH
74.
Roy B (1982) Ranking of suburban line extension projects on the Paris metro system by a multicriteria method. Transp Res Part A Gen 16:301–312CrossRef
75.
Roy B, Vincke P (1984) Relational systems of preference with one or more pseudo-criteria: some new concepts and results. Manag Sci 30(11):1323–1335MathSciNetCrossRefMATH
76.
Figueira JR, Greco S, Roy B, Słowiński R (2010) ELECTRE methods: main features and recent developments. In: Zopounidis C, Pardalos P (eds) Handbook of multicriteria analysis. Springer, Berlin, pp 51–89CrossRef
77.
Tzeng GH, Huang JJ (2011) Multiple attribute decision making: methods and applications. Chapman and Hall, LondonMATH
78.
Ye J (2012) Multicriteria decision-making method using the Dice similarity measure based on the reduct intuitionistic fuzzy sets of interval-valued intuitionistic fuzzy sets. Appl Math Model 36(9):4466–4472MathSciNetCrossRefMATH
79.
Hu J, Zhang Y, Chen X, Liu Y (2013) Multi-criteria decision making method based on possibility degree of interval type-2 fuzzy number. Knowl Based Syst 43:21–29CrossRef
80.
Ye J (2014) Similarity measures between interval neutrosophic sets and their applications in multicriteria decision-making. J Intell Fuzzy Syst 26:165–172MATH
81.
Ye J (2013) Multicriteria decision-making method using the correlation coefficient under single-valued neutrosophic environment. Int J Gen Syst 42(4):386–394MathSciNetCrossRefMATH
Metadaten
Titel
An outranking approach for multi-criteria decision-making problems with interval-valued neutrosophic sets
verfasst von
Hongyu Zhang
Jianqiang Wang
Xiaohong Chen
Publikationsdatum
01.04.2016
Verlag
Springer London
Erschienen in
Neural Computing and Applications / Ausgabe 3/2016
Print ISSN: 0941-0643
Elektronische ISSN: 1433-3058
DOI
https://doi.org/10.1007/s00521-015-1882-3

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