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Granular Computing

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30.05.2019 | Original Paper

New approach of triangular neutrosophic cubic linguistic hesitant fuzzy aggregation operators

verfasst von: Aliya Fahmi, Muhammad Aslam, Muhammad Riaz

Erschienen in: Granular Computing | Ausgabe 4/2020

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Abstract

In this paper, we define the new concepts of a triangular neutrosophic cubic linguistic hesitant fuzzy number (TNCLHFN), the basic operational relations of TNCHLFNs, and the score function of TNCLHFNs. Then, we develop a triangular neutrosophic cubic linguistic hesitant fuzzy weighted arithmetic averaging (TNCLHFWAA) operator and a triangular neutrosophic cubic linguistic hesitant fuzzy weighted geometric averaging (TNCLHFWGA) operator to aggregate TNCLHFN information and investigate their properties. Furthermore, a multiple attribute decision-making method based on the TNCLHFWAA and TNCLHFWGA operators, and the score function of TNCLHFN is established under a TNCLHFN environment. Finally, an illustrative example of investment alternatives is given to demonstrate the application and effectiveness of the developed approach. Triangular neutrosophic cubic linguistic hesitant fuzzy number with a wider scope of applications, and hence, the motivation for investigating into its applicability in different diseases in medical patients.

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Amin F, Fahmi A, Abdullah S, Ali A, Ahmed R, Ghani F (2018) Triangular cubic linguistic hesitant fuzzy aggregation operators and their application in group decision making. J Intell Fuzzy Syst 34:2401–2416CrossRef

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

Chen SM, Chang CH (2015) A novel similarity measure between Atanassov’s intuitionistic fuzzy sets based on transformation techniques with applications to pattern recognition. Inf Sci 291:96–114CrossRef

Chen SM, Cheng SH, Chiou CH (2016a) Fuzzy multiattribute group decision making based on intuitionistic fuzzy sets and evidential reasoning methodology. Inf Fusion 27:215–227CrossRef

Chen SM, Cheng SH, Lan TC (2016b) Multicriteria decision making based on the TOPSIS method and similarity measures between intuitionistic fuzzy values. Inf Sci 367:279–295CrossRef

Ejegwa PA (2019) Improved composite relation for pythagorean fuzzy sets and its application to medical diagnosis. Granul Comput. https://doi.org/10.1007/s41066-019-00156-8CrossRef

Fahmi A, Abdullah S, Amin F, Siddique N, Ali A (2017a) Aggregation operators on triangular cubic fuzzy numbers and its application to multi-criteria decision making problems. J Intell Fuzzy Syst 33:3323–3337CrossRef

Fahmi A, Abdullah S, Amin F, Ali A (2017b) Precursor selection for sol-gel synthesis of titanium carbide nanopowders by a new cubic fuzzy multi-attribute group decision-making model. J Intell Syst. https://doi.org/10.1515/jisys-2017-0083

Fahmi A, Abdullah S, Amin (2017c) Trapezoidal linguistic cubic hesitant fuzzy topsis method and application to group decision making program. J New Theory 19:27–47MATH

Fahmi A, Abdullah S, Amin F, Ali A (2018a) Weighted average rating (war) method for solving group decision making problem using triangular cubic fuzzy hybrid aggregation (Tcfha). Punjab Univ J Math 50(1):23–34MathSciNet

Fahmi A, Abdullah S, Amin F, Ali A, Khan WA (2018b) Some geometric operators with triangular cubic linguistic hesitant fuzzy number and their application in group decision-making. J Intell Fuzzy Syst. https://doi.org/10.3233/JIFS-18125CrossRef

Fahmi A, Abdullah S, Amin (2018c) Expected values of aggregation operators on cubic trapezoidal fuzzy number and its application to multi-criteria decision making problems. J N Theor 22:51–65

Fahmi A, Abdullah S, Amin F, Khan MSA (2018d) Trapezoidal cubic fuzzy number einstein hybrid weighted averaging operators and its application to decision making. Soft Comput. https://doi.org/10.1007/s00500-018-3242-6

Fahmi A, Amin F, Abdullah S, Ali A (2018e) Cubic fuzzy Einstein aggregation operators and its application to decision-making. Int J Syst Sci 49(11):2385–2397MathSciNetCrossRef

Jun YB, Kim CS, Yang Ki O (2012) Cubic sets. Ann Fuzzy Math Inf 4(1):83–98MathSciNetMATH

Liu F, Yuan XH (2007) Fuzzy number intuitionistic fuzzy set. Fuzzy Syst Math 21(1):88–91MATH

Liu P, Chen SM (2017) Group decision making based on Heronian aggregation operators of intuitionistic fuzzy numbers. IEEE Trans Cybern 47(9):2514–2530CrossRef

Liu P, Chen SM, Liu J (2017) Multiple attribute group decision making based on intuitionistic fuzzy interaction partitioned Bonferroni mean operators. Inf Sci 411:98–121MathSciNetMATHCrossRef

Liu P, Chen SM (2018) Multiattribute group decision making based on intuitionistic 2-tuple linguistic information. Inf Sci 430:599–619MathSciNetMATHCrossRef

Mandal P, Ranadive AS (2019) Multi-granulation interval-valued fuzzy probabilistic rough sets and their corresponding three-way decisions based on interval-valued fuzzy preference relations. Granul Comput 4(1):89–108CrossRef

Smarandache F (1998) Neutrosophy/neutrosophic probability, set, and logic. American Research Press, RehobothMATH

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

Wang XF (2008a) Fuzzy number intuitionistic fuzzy geometric aggregation operators and their application to decision making. Control Decis 23(6):607–612MathSciNetMATH

Wang XF (2008b) Fuzzy number intuitionistic fuzzy arithmetic aggregation operators. Int J Fuzzy Syst 10(2):104–111MathSciNet

Wang H, Smarandache F, Zhang YQ, Sunderraman R (2010) Single valued neutrosophic sets. Multisp Multistruct 4:410–413MATH

Wang CY, Chen SM (2018) A new multiple attribute decision making method based on linear programming methodology and novel score function and novel accuracy function of interval-valued intuitionistic fuzzy values. Inf Sci 438:145–155MathSciNetMATHCrossRef

Wei GW, Zhao XF, Lin R (2010) Some induced aggregating operators with fuzzy number intuitionistic fuzzy information and their applications to group decision making. Int J Comput Intell Syst 3(1):84–95

Ye J (2014a) Single valued neutrosophic minimum spanning tree and its clustering method. J Intell Syst 23(3):311–324CrossRef

Ye J (2014b) Single valued neutrosophic cross-entropy for multicriteria decision making problems. Appl Math Model 38:1170–1175MathSciNetCrossRef

Zhang Z (2019) Maclaurin symmetric means of dual hesitant fuzzy information and their use in multi-criteria decision making. Granul Comput. https://doi.org/10.1007/s41066-018-00152-4CrossRef

Zadeh LA (1965) Fuzzy sets. Inf Control 8(5):338–353MATHCrossRef

Titel: New approach of triangular neutrosophic cubic linguistic hesitant fuzzy aggregation operators
verfasst von: Aliya Fahmi
Muhammad Aslam
Muhammad Riaz
Publikationsdatum: 30.05.2019
Verlag: Springer International Publishing
Erschienen in: Granular Computing / Ausgabe 4/2020
Print ISSN: 2364-4966
Elektronische ISSN: 2364-4974
DOI: https://doi.org/10.1007/s41066-019-00177-3

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