Applications of Neutrosophic Cubic Sets in Multi-Criteria Decision-Making

Zhan, Jianming; Khan, M. Rashid; Gulistan, Muhammad; Ali, Ahmed

doi:10.1615/int.j.uncertaintyquantification.2017020446

Cited by 43 publications

(47 citation statements)

References 20 publications

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“…Algorithms 2018, 11,29 Definition 3 ([26]). Let Z be a non-empty set, then a cubic set C in Z is constructed as the follow…”

Section: ) Where Is An Interval Neutrosophic Setmentioning

confidence: 99%

“…In order to demonstrate the application of the proposed MADM method, in this section, we provide two illustrative examples with neutrosophic cubic information adapted from [29]. Then, we apply the NCDWAA operator or the NCDWGA operator to solve the MADM problem with NCN information.…”

Section: Illustrative Examplesmentioning

confidence: 99%

“…Compared with the existing MADM method for NCSs introduced in [29], Table 5 lists the MADM results using NCDWAA and NCDWGA operators proposed in this paper and the weighted average operator (A W ) of NCSs in the relevant paper [29], respectively. From Table 5, we see that the ranking orders based on the Dombi operators proposed in this paper and the weighted average operator (A W ) of NCSs have obvious difference since different aggregation operators may be result in different ranking orders.…”

Section: Comparison Analysismentioning

confidence: 99%

“…From Table 5, we see that the ranking orders based on the Dombi operators proposed in this paper and the weighted average operator (A W ) of NCSs have obvious difference since different aggregation operators may be result in different ranking orders. Due to no parameter selected in [29], the proposed MADM based on Dombi aggregation operators is more flexible than the approach provided in [29]. For further comparison, the existing related decision-making approaches [51][52][53] based on some Dombi operations cannot deal with the decision-making problem with NCSs.…”

Section: Comparison Analysismentioning

confidence: 99%

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Dombi Aggregation Operators of Neutrosophic Cubic Sets for Multiple Attribute Decision-Making

Shi

2018

Algorithms

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Abstract:The neutrosophic cubic set can describe complex decision-making problems with its single-valued neutrosophic numbers and interval neutrosophic numbers simultaneously. The Dombi operations have the advantage of good flexibility with the operational parameter. In order to solve decision-making problems with flexible operational parameter under neutrosophic cubic environments, the paper extends the Dombi operations to neutrosophic cubic sets and proposes a neutrosophic cubic Dombi weighted arithmetic average (NCDWAA) operator and a neutrosophic cubic Dombi weighted geometric average (NCDWGA) operator. Then, we propose a multiple attribute decision-making (MADM) method based on the NCDWAA and NCDWGA operators. Finally, we provide two illustrative examples of MADM to demonstrate the application and effectiveness of the established method.Keywords: neutrosophic cubic sets; neutrosophic cubic Dombi weighted arithmetic average (NCDWAA) operator; Dombi operations; multiple attribute decision-making; neutrosophic cubic Dombi weighted geometric average (NCDWGA) operator

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“…Algorithms 2018, 11,29 Definition 3 ([26]). Let Z be a non-empty set, then a cubic set C in Z is constructed as the follow…”

Section: ) Where Is An Interval Neutrosophic Setmentioning

confidence: 99%

Section: Illustrative Examplesmentioning

confidence: 99%

Section: Comparison Analysismentioning

confidence: 99%

Section: Comparison Analysismentioning

confidence: 99%

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Dombi Aggregation Operators of Neutrosophic Cubic Sets for Multiple Attribute Decision-Making

Shi

2018

Algorithms

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“…In the same study, Pramanik et al [50] also employed the information entropy scheme to calculate the unknown weights of the attributes, and developed a new extended TOPSIS strategy for MADM under the NCS environment. Zhan et al [51] proposed a new algorithm for multi-criteria decision making (MCDM) in an NCS environment based on a weighted average operator and a weighted geometric operator. Ye [52] established the concept of a linguistic neutrosophic cubic number (LNCN).…”

Section: Introductionmentioning

confidence: 99%

NC-TODIM-Based MAGDM under a Neutrosophic Cubic Set Environment

Pramanik¹,

Dalapati

Alam

et al. 2017

Information

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Abstract:A neutrosophic cubic set is the hybridization of the concept of a neutrosophic set and an interval neutrosophic set. A neutrosophic cubic set has the capacity to express the hybrid information of both the interval neutrosophic set and the single valued neutrosophic set simultaneously. As newly defined, little research on the operations and applications of neutrosophic cubic sets has been reported in the current literature. In the present paper, we propose the score and accuracy functions for neutrosophic cubic sets and prove their basic properties. We also develop a strategy for ranking of neutrosophic cubic numbers based on the score and accuracy functions. We firstly develop a TODIM (Tomada de decisao interativa e multicritévio) in the neutrosophic cubic set (NC) environment, which we call the NC-TODIM. We establish a new NC-TODIM strategy for solving multi attribute group decision making (MAGDM) in neutrosophic cubic set environment. We illustrate the proposed NC-TODIM strategy for solving a multi attribute group decision making problem to show the applicability and effectiveness of the developed strategy. We also conduct sensitivity analysis to show the impact of ranking order of the alternatives for different values of the attenuation factor of losses for multi-attribute group decision making strategies.

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New multicriteria group decision support systems for small hydropower plant locations selection based on intuitionistic cubic fuzzy aggregation information

2020

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There has been a quick development in construction activities during the last couple of decades attributable to a general improvement in all features of humankind. Because of innovative progressions and regularly expanding human progress, there is a diligent requirement of power. Close by the ordinary energy sources, renewable energy sources have likewise lead significantly to the rising power requirement. All over the world in the past, a number of small hydropower plants (SHPPs) have been developed, as a renewable energy source. Generally, these SHPPs are being manufactured and worked by the private designers consenting to the administration rules. So as to help a designer in choosing the most productive and doable SHPP for development and consequent activity, the concept of the intuitionistic cubic fuzzy set (ICFS) theory is established and a few important operations for ICFSs are characterized, and also a strategy dependent on intuitionistic cubic fuzzy Hamacher hybrid averaging (ICFHHA) operator, intuitionistic cubic fuzzy Hamacher order weighted averaging (ICFHOWA) operator, and intuitionistic cubic fuzzy Hamacher weighted averaging (ICFHWA) operators is utilized in the present paper. The financial criteria and technobusiness, as assumed for examining the practicality of the candidate SHPPs, are presented qualitatively utilizing intuitionistic cubic fuzzy numbers (ICFNs). Further study their fundamental properties and the relationship among these aggregation operators. Developed group decision‐making (DM) algorithm under intuitionistic cubic fuzzy (ICF) environment. An interpretative case for the analysis of SHPP for construction is given to demonstrate the feasibility and practicality of the mentioned new techniques. Further validate its effectiveness and benefits via a comparative analysis with pre‐existing aggregation operators, and the outcomes demonstrate that the proposed SHPP determination model has some special favorable circumstances, which is progressively practical and adaptable for SHPP choice under a complex and uncertain environment.

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Applications of Neutrosophic Cubic Sets in Multi-Criteria Decision-Making

Cited by 43 publications

References 20 publications

Dombi Aggregation Operators of Neutrosophic Cubic Sets for Multiple Attribute Decision-Making

Dombi Aggregation Operators of Neutrosophic Cubic Sets for Multiple Attribute Decision-Making

NC-TODIM-Based MAGDM under a Neutrosophic Cubic Set Environment

New multicriteria group decision support systems for small hydropower plant locations selection based on intuitionistic cubic fuzzy aggregation information

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