Linguistic interval neutrosophic sets in multi-criteria group decision-making

2021 ◽  
Author(s):  
Sang-sang He ◽  
Jian-qiang Wang ◽  
Jun-hua Hu ◽  
Yi-ting Wang ◽  
Fei Xiao ◽  
...  
Keyword(s):  
Decision Making ◽  
Group Decision Making ◽  
Group Decision ◽  
Neutrosophic Sets ◽  
Interval Neutrosophic Sets

scholarly journals Multi-attribute group decision-making method based on weighted partitioned Maclaurin symmetric mean operator and a novel score function under neutrosophic cubic environment

2021 ◽  
Author(s):  
Jianping Fan ◽  
Shanshan Zhai ◽  
Meiqin Wu
Keyword(s):  
Decision Making ◽  
Group Decision Making ◽  
Group Decision ◽  
Score Function ◽  
Neutrosophic Set ◽  
Neutrosophic Sets ◽  
Score Functions ◽  
Complex Information ◽  
Maclaurin Symmetric Mean ◽  
Interval Neutrosophic Sets

Abstract Neutrosophic cubic set (NCS) is the generalized version of neutrosophic sets and interval neutrosophic sets. It can deal with the complex information by combining the neutrosophic set (NS) and cubic set (CS). The partitioned Maclaurin symmetric mean (PMSM) operator can reflect the interrelationships among attributes where there are interrelationships among attributes in the same partition, but the attributes in different partitions are irrelevant. To effectively gather neutrosophic cubic information, we extend the PMSM operator to neutrosophic cubic environment and define the neutrosophic cubic partitioned Maclaurin symmetric mean (NCPMSM) operator and neutrosophic cubic weighted partitioned Maclaurin symmetric mean (NCWPMSM) operator. Later, we define a novel score function of NCS which overcome the drawbacks of the existing score functions. Next, based on NCWPMSM operator and the novel score function, we develop a multi-attribute group decision-making method. Finally, we give an example of supplier selection to illustrate the usefulness of the proposed multi-attribute group decision-making (MAGDM) method. At the same time, a comparative analysis is to show the effectiveness and advantages of the proposed method compared with the existing methods

scholarly journals Simplified Neutrosophic Sets Based on Interval Dependent Degree for Multi-Criteria Group Decision-Making Problems

Symmetry ◽  
2018 ◽  
Vol 10 (11) ◽  
pp. 640 ◽  
Author(s):  
Xu Libo ◽  
Li Xingsen ◽  
Pang Chaoyi ◽  
Guo Yan
Keyword(s):  
Decision Making ◽  
Distribution Function ◽  
Group Decision Making ◽  
Group Decision ◽  
Dynamic Change ◽  
Transformation Operator ◽  
Decision Makers ◽  
Neutrosophic Sets ◽  
New Approach ◽  
Dependent Function

In this paper, a new approach and framework based on the interval dependent degree for multi-criteria group decision-making (MCGDM) problems with simplified neutrosophic sets (SNSs) is proposed. Firstly, the simplified dependent function and distribution function are defined. Then, they are integrated into the interval dependent function which contains interval computing and distribution information of the intervals. Subsequently, the interval transformation operator is defined to convert simplified neutrosophic numbers (SNNs) into intervals, and then the interval dependent function for SNNs is deduced. Finally, an example is provided to verify the feasibility and effectiveness of the proposed method, together with its comparative analysis. In addition, uncertainty analysis, which can reflect the dynamic change of the final result caused by changes in the decision makers’ preferences, is performed in different distribution function situations. That increases the reliability and accuracy of the result.

scholarly journals Neutrosophic cubic Heronian mean operators with applications in multiple attribute group decision-making using cosine similarity functions

2019 ◽  
Vol 15 (9) ◽  
pp. 155014771987761 ◽  
Author(s):  
Muhammad Gulistan ◽  
Mutaz Mohammad ◽  
Faruk Karaaslan ◽  
Seifedine Kadry ◽  
Salma Khan ◽  
...  
Keyword(s):  
Decision Making ◽  
Group Decision Making ◽  
Group Decision ◽  
Cosine Similarity ◽  
Similarity Function ◽  
Neutrosophic Sets ◽  
Similarity Functions ◽  
Multiple Attribute ◽  
Geometric Operator ◽  
Heronian Mean

This article introduces the concept of Heronian mean operators, geometric Heronian mean operators, neutrosophic cubic number–improved generalized weighted Heronian mean operators, neutrosophic cubic number–improved generalized weighted geometric Heronian mean operators. These operators actually generalize the operators of fuzzy sets, cubic sets, and neutrosophic sets. We investigate the average weighted operator on neutrosophic cubic sets and weighted geometric operator on neutrosophic cubic sets to aggregate the neutrosophic cubic information. After this, based on average weighted and geometric weighted and cosine similarity function in neutrosophic cubic sets, we developed a multiple attribute group decision-making method. Finally, we give a mathematical example to illustrate the usefulness and application of the proposed method.

Probability multi-valued neutrosophic ELECTRE method for multi-criteria group decision-making

2020 ◽  
Vol 39 (5) ◽  
pp. 7587-7604
Author(s):  
Li Zhang ◽  
Shufeng Cheng ◽  
Peide Liu
Keyword(s):  
Decision Making ◽  
Group Decision Making ◽  
Distance Measure ◽  
Group Decision ◽  
Neutrosophic Sets ◽  
Logistics Outsourcing ◽  
Outranking Relations ◽  
Electre Method ◽  
Evaluation Information

Probability multi-valued neutrosophic sets (PMVNSs) can better describe the incomplete and indeterminate evaluation information, and the ELECTRE method can rank the alternatives in the light of the outranking relations among criteria. To combine their advantages, this paper introduces an extended ELECTRE method to address multi-criteria group decision-making (MCGDM) problems with the information of PMVNSs. Firstly, we introduce the definitions of PMVNSs and the classical ELECTRE method, discuss the ELECTRE-based outranking relations for PMVNSs and analyze some properties of them. Furthermore, the probability multi-valued neutrosophic ELECTRE method is developed to address MCGDM problems based on the proposed distance measure and outranking relations for PMVNSs. Finally, a typical example for logistics outsourcing provider selection is devoted to demonstrate the feasibility of the proposed approach. Moreover, the same example-based comparisons with other existing methods are carried out, the results show our proposed approach outperforms the existing methods in solving the MCGDM problems with PMVNSs.

A novel group decision making model based on neutrosophic sets for heart disease diagnosis

2019 ◽  
Vol 79 (15-16) ◽  
pp. 9977-10002 ◽  
Author(s):  
Mohamed Abdel-Basset ◽  
Abduallah Gamal ◽  
Gunasekaran Manogaran ◽  
Le Hoang Son ◽  
Hoang Viet Long
Keyword(s):  
Decision Making ◽  
Heart Disease ◽  
Group Decision Making ◽  
Group Decision ◽  
Disease Diagnosis ◽  
Neutrosophic Sets ◽  
Model Based ◽  
Heart Disease Diagnosis ◽  
Decision Making Model

scholarly journals Simplified neutrosophic sets and their applications in multi-criteria group decision-making problems

2015 ◽  
Vol 47 (10) ◽  
pp. 2342-2358 ◽  
Author(s):  
Juan-juan Peng ◽  
Jian-qiang Wang ◽  
Jing Wang ◽  
Hong-yu Zhang ◽  
Xiao-hong Chen
Keyword(s):  
Decision Making ◽  
Group Decision Making ◽  
Group Decision ◽  
Neutrosophic Sets
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