In this paper, we define the Quadripartition Neutrosophic Weighted Neutrality Aggregative (QNWNA) operator and Quadripartition Neutrosophic Ordered Weighted Neutrality Aggregative (QNOWNA) operator for solving Multi-Attribute Group Decision Making (MAGDM) problems. The basic properties of both operators are discussed thoroughly. A new MAGDM strategy is developed using these developed operators. A case study of e-commerce site selection in India is discussed to show the applicability of the proposed MADM strategy. Moreover, the performance of the QNWNA and QNOWNA operators are compared with Quadripartition Neutrosophic Weighted Arithmetic Aggregation (QNWAA) operator and Quadripartition Neutrosophic Weighted Geometric Aggregation (QNWGA), Quadripartition Single valued Neutrosophic Dombi Weighted Arithmetic Aggregation (QSVNDWAA) and QSVN Dombi Weighted Geometric Aggregation (QSVNDWAA) operator.
BiswasPPramanikSGiriBC. TOPSIS method for multi-attribute group decision-making under single-valued neutrosophic environment. Neural Computing & Applications.2016; 27: 727-737.
2.
PramanikSMallickR. VIKOR based MAGDM strategy with trapezoidal neutrosophic numbers. Neutrosophic Sets and Systems.2018; 2: 118-130.
3.
PramanikSMallickR. TODIM strategy for multi-attribute group decision making in trapezoidal neutrosophic number environment. Complex & Intelligence System.2019; 5(4): 379-389.
4.
ZadehLA. Fuzzy sets. Information and control.1965; 8(3): 338-353.
SmarandacheF. A unifying field of logics. Neutrosophy: neutrosophic probability, set and logic. American Research Press. Rehoboth. 1998.
7.
BroumiSSmarandacheF. Several similarity measures of neutrosophic sets. Neut. Sets and Syst.2013; 1: 54-62.
8.
MajumdarPSamantaSK. On similarity and entropy of neutrosophic sets. Journal of Intelligent & Fuzzy Systems.2013; 26: 1245-1252.
9.
JunY. Similarity measures between interval neutrosophic sets and their application in multicriteria decision-making. Journal of Intelligent & Fuzzy Systems.2014; 26: 165-172.
10.
BiswasPPramanikSGiriBC. NH-MADM strategy in neutrosophic hesitant fuzzy set environment based on extended GRA. Informatica.2019; 30(2): 1-30.
11.
AtanassovKTVassilevP. Intuitionistic fuzzy sets and other fuzzy sets extensions representable by them. Journal of Intelligent & Fuzzy Systems.2020; 38: 525-530.
12.
CuongBCKreinovichV. Picture fuzzy sets – A new concept for computational intelligence problems. In Proceedings of the Third World Congress on Information and Communication Technologies WICT’2013, Hanoi, Vietnam, 2013. pp. 1-6.
13.
WangHSmarandacheFZhangQSunderramanR. Single valued neutrosophic sets. Multispace Multistruct.2010; 4: 410-413.
14.
ChatterjeeRMajumdarPSamantaSK. On some similarity measures and entropy on quadripartitioned single valued neutrosophic set. Journal of Intelligent & Fuzzy Systems.2016; 30: 2475-2485.
15.
SmarandacheF. n-valued refined neutrosophic logic and its applications to physics; 2014. arXiv 2014, arXiv: 1407.1041.
16.
BelnapND. A useful four-valued logic. In: Dunn JM, Epstein G. (Eds.) Modern Uses of Multiple-Valued Logic. Episteme (A Series in the Foundational, Methodological, Philosophical, Psychological, Sociological, and Political Aspects of the Sciences, Pure and Applied) 2, Dordrecht; 1977.
17.
ChatterjeeRMajumdarPSamantaSK. A multi-criteria group decision making algorithm with quadripartitioned neutrosophic weighted aggregation operators using quadripartitioned neutrosophic number in IPQSVNSS environment. Soft Computing.2019; 24: 8857-8880.
18.
MohanasundariMMohanaK. Quadripartitioned single valued neutrosophic Dombi weighted aggregation operators for multiple attribute decision making. Neutrosophic Sets and Systems.2020; 32: 107-122.
19.
RoySLeeJGPalASamantaSK. Similarity measures of quadripartitioned single valued bipolar neutrosophic sets and its application in multi-criteria decision making problems. Symmetry.2020; 12(6): 1012.
20.
MohanasundariMMohanaK. Axiomatic characterizations of quadripartitioned single valued neutrosophic rough sets. Journal of New Theory.2020; 30: 86-99.
21.
LiuPChuYLiYChenY. Some generalized neutrosophic number hamacher aggregation operators and their application to group decision making. International Journal of Fuzzy Systems.2014; 16(2): 242-255.
22.
SahinRLiuP. Possibility-induced simplified neutrosophic aggregation operators and their application to multi-criteria group decision making. Journal of Experimental & Theoretical Artificial Intelligence.2017; 29(4): 769-785.
23.
GargH, Nancy. Some hybrid weighted aggregation operators under neutrosophic set environment and their applications to multicriteria decision-making. Applied Intelligence.2018; 48(12): 4871-4888.
24.
LiYLiuPChenY. Some single valued neutrosophic number heronian mean operators and their application in multiple attribute group decision making. Informatica.2016; 27(1): 85-110.
25.
HeYChenHHeZZhouL. Multi-attribute decision making based on neutral averaging operators for intuitionistic fuzzy information. Applied Soft Computing.2015; 27: 64-76.
26.
GargH. Neutrality operations-based Pythagorean fuzzy aggregation operators and its applications to multiple attribute group decision-making process. Journal of Ambient Intelligence and Humanized Computing.2020; 11: 3021-3041.
27.
GargHChenSM. Multiattribute group decision making based on neutrality aggregation operators of q-rung orthopair fuzzy sets. Information Sciences.2020; 517: 427-447.
28.
GargHGandomiAHAliZMahmoodT. Neutrality aggregation operators based on complex q-rung orthopair fuzzy sets and their applications in multiattribute decision-making problems. International Journal of Intelligent Systems.2021; 37(1): 1010-1051.
29.
GargH. Novel neutrality aggregation operator-based multiattribute group decision-making method for single-valued neutrosophic numbers. Soft Computing.2020; 24(2): 10327-10349.
30.
MondalKPramanikSGiriBCSmarandacheF. NN-harmonic mean aggregation operators-based MCGDM strategy in a neutrosophic number environment. Axioms.2018; 7: 12.
31.
LiuCLuoY. Power aggregation operators of simplified neutrosophic sets and their use in multi-attribute group decision making. IEEE/CAA Journal of Automatica Sinica. 2017; 1-10.
32.
LiuPChuYLiYChenY. Some generalized neutrosophic number Hamacher aggregation operators and their application to group decision making. International Journal of Fuzzy Systems.2014; 16(2): 242-255.
33.
YangLLiB. An extended single-valued neutrosophic normalized weighted Bonferroni mean Einstein aggregation operator. International Journal of Applied Mathematics.2018; 48: 4.
34.
LiuPYouX. Linguistic neutrosophic partitioned Maclaurin symmetric mean operators based on clustering algorithm and their application to multi-criteria group decision-making. Artificial Intelligence Review.2020; 53: 2131-2170.
35.
LiuPShiL. Some Neutrosophic uncertain linguistic number Heronian mean operators and their application to multi-attribute group decision making. Neural Computing and Applications.2017; 28(5): 1079-1093.
36.
ChangJSunLZhangBPengJ. Multi-period portfolio selection with mental accounts and realistic constraints based on uncertainty theory. Journal of Computational and Applied Mathematics.2020; 377: 112892.
37.
ChaiJSSelvachandranGSmarandacheF, et al. New similarity measures for single-valued neutrosophic sets with applications in pattern recognition and medical diagnosis problems. Complex Intelligence Systems.2021; 7: 703-723.
38.
ZhangJMaZ. Hybrid fuzzy clustering method based on FCM and enhanced logarithmical PSO (ELPSO). Computational Intelligence and Neuroscience Volume. 2020; 1-12.
39.
HasanHESahinR. A neutrosophic VIKOR method-based decision-making with an improved distance measure and score function: Case study of selection for renewable energy alternatives. Cognitive Computation.2020; 12: 1338-1355.
