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1

Bo, Chunxin, Xiaohong Zhang, and Songtao Shao. "Non-Dual Multi-Granulation Neutrosophic Rough Set with Applications." Symmetry 11, no. 7 (2019): 910. http://dx.doi.org/10.3390/sym11070910.

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Multi-attribute decision-making (MADM) is a part of management decision-making and an important branch of the modern decision theory and method. MADM focuses on the decision problem of discrete and finite decision schemes. Uncertain MADM is an extension and development of classical multi-attribute decision making theory. When the attribute value of MADM is shown by neutrosophic number, that is, the attribute value is complex data and needs three values to express, it is called the MADM problem in which the attribute values are neutrosophic numbers. However, in practical MADM problems, to minim
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2

Jiang, Wen, Zihan Zhang, and Xinyang Deng. "Multi-Attribute Decision Making Method Based on Aggregated Neutrosophic Set." Symmetry 11, no. 2 (2019): 267. http://dx.doi.org/10.3390/sym11020267.

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Multi-attribute decision-making refers to the decision-making problem of selecting the optimal alternative or sorting the scheme when considering multiple attributes, which is widely used in engineering design, economy, management and military, etc. But in real application, the attribute information of many objects is often inaccurate or uncertain, so it is very important for us to find a useful and efficient method to solve the problem. Neutrosophic set is proposed from philosophical point of view to handle inaccurate information efficiently, and a single-valued neutrosophic set (SVNS) is a s
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3

R. Ramesh. "Application of Neutrosophic Sets in Multi Attribute Decision Making." Communications on Applied Nonlinear Analysis 32, no. 9s (2025): 2635–49. https://doi.org/10.52783/cana.v32.4545.

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The selection of an optimal hospital for healthcare services is a complex decision-making problem due to the involvement of multiple, often conflicting, criteria such as quality of care, infrastructure, staff expertise, cost, and patient satisfaction. This paper presents an innovative approach for hospital selection using a hybrid decision-making framework combining neutrosophic sets, entropy weight, and the Multi-Attribute Decision-Making (MADM) method. Neutrosophic sets are employed to handle the inherent uncertainty and indeterminacy in hospital evaluation criteria, allowing for more flexib
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4

R, Radha, and Stanis Arul Mary A. "Improved correlation coe_cients of quadripartitioned neutrosophic pythagorean sets for madm." Journal of Computational Mathematica 5, no. 1 (2021): 142–53. http://dx.doi.org/10.26524/cm101.

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Quadripartitioned single valued Neutrosophic Pythagorean Sets is a improvisation of Wang's single valued neutrosophic sets. In this paper we have studied. The improved correlation coefficient of Quadripartitioned Neutrosophic Pythagorean Sets and investigate it's properties. Further,we have applied the concept of multi attribute decision making methods with quadripartitioned neutrosophic pythagorean environment. Finally we illustrated an example with above proposed method to the multiple attribute decision making problems
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5

Yang, Hai-Long, Yan-Ling Bao, and Zhi-Lian Guo. "Generalized interval neutrosophic rough sets and its application in multi-attribute decision making." Filomat 32, no. 1 (2018): 11–33. http://dx.doi.org/10.2298/fil1801011y.

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Neutrosophic set (NS) was originally proposed by Smarandache to handle indeterminate and inconsistent information. It is a generalization of fuzzy sets and intuitionistic fuzzy sets. Wang and Smarandache proposed interval neutrosophic sets (INS) which is a special case of NSs and would be extensively applied to resolve practical issues. In this paper, we put forward generalized interval neutrosophic rough sets based on interval neutrosophic relations by combining interval neutrosophic sets with rough sets. We explore the hybrid model through constructive approach as well as axiomatic approach.
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6

Fan, Jianping, Shanshan Zhai, and Meiqin Wu. "PT-MARCOS multi-attribute decision-making method under neutrosophic cubic environment." Journal of Intelligent & Fuzzy Systems 42, no. 3 (2022): 1737–48. http://dx.doi.org/10.3233/jifs-211189.

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Neutrosophic cubic set (NCS) can process complex information by combining interval neutrosophic set and single-valued neutrosophic set. It can simultaneously describe the uncertain and certain part of information. Prospect theory (PT) is based on bounded rationality and can reflect decision maker’s different risk attitudes to gains and losses. Measurement of Alternatives and Ranking according to COmpromise Solution (MARCOS) method can measure and rank the alternatives according to compromise solution. Considering the bounded rationality of decision makers and compromise solution of alternative
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7

Liu, Jianbo, Yanan Chen, Ziyue Chen, and Yanyan Zhang. "Multi-Attribute Decision Making Method Based on Neutrosophic Vague N-Soft Sets." Symmetry 12, no. 5 (2020): 853. http://dx.doi.org/10.3390/sym12050853.

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This paper proposes neutrosophic vague N-soft sets which is composed of neutrosophic vague sets and N-soft sets for the first time. The new hybrid model includes a pair of asymmetric functions: truth-membership and false-membership, and an indeterminacy-membership function. Some useful operations and propositions are given and illustrated by examples. Moreover, a method of priority relation ranking based on neutrosophic vague N-soft sets is presented. The validity of the method is verified by comparison. It is more flexible and reasonable to use this method in our daily life. Finally, a potent
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8

Hong, Yanran, Dongsheng Xu, Kaili Xiang, Han Qiao, Xiangxiang Cui, and Huaxiang Xian. "Multi-Attribute Decision-Making Based on Preference Perspective with Interval Neutrosophic Sets in Venture Capital." Mathematics 7, no. 3 (2019): 257. http://dx.doi.org/10.3390/math7030257.

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Fuzzy information in venture capital can be well expressed by neutrosophic numbers, and TODIM method is an effective tool for multi-attribute decision-making. The distance measure is an essential step in TODIM method. The keystone of this paper is to define several new distance measures, in particular the improved interval neutrosophic Euclidean distance, and these measures are applied in the TODIM method for multi-attribute decision-making. Firstly, the normalized generalized interval neutrosophic Hausdorff distance is defined and proved to be valid in this paper. Secondly, we define a weight
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9

NAFEI, Amir Hossein, Wenjun YUAN, and Hadi NASSERI. "Group Multi-Attribute Decision Making Based on Interval Neutrosophic Sets." Studies in Informatics and Control 28, no. 3 (2019): 309–16. http://dx.doi.org/10.24846/v28i3y201907.

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10

Quek, Shio Gai, Ganeshsree Selvachandran, Florentin Smarandache, et al. "Entropy Measures for Plithogenic Sets and Applications in Multi-Attribute Decision Making." Mathematics 8, no. 6 (2020): 965. http://dx.doi.org/10.3390/math8060965.

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Plithogenic set is an extension of the crisp set, fuzzy set, intuitionistic fuzzy set, and neutrosophic sets, whose elements are characterized by one or more attributes, and each attribute can assume many values. Each attribute has a corresponding degree of appurtenance of the element to the set with respect to the given criteria. In order to obtain a better accuracy and for a more exact exclusion (partial order), a contradiction or dissimilarity degree is defined between each attribute value and the dominant attribute value. In this paper, entropy measures for plithogenic sets have been intro
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11

admin, admin, Wenhui Bai, and Chao Zhang. "A New Multi-Attribute Decision Making Method with Single-Valued Neutrosophic Graphs." International Journal of Neutrosophic Science, 2020, 76–86. http://dx.doi.org/10.54216/ijns.0110202.

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In most realistic situations, the theory and method of multi-attribute decision-making have been widely used in different fields, such as engineering, economy, management, military, and others. Although many studies in some extended fuzzy contexts have been explored with multi-attribute decision-making, it is widely recognized that single-valued neutrosophic sets can describe incomplete, indeterminate and inconsistent information more easier. In this paper, aiming at addressing multi-attribute decision-making problems with single-valued neutrosophic information, related models and multi-attrib
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12

Wen, Jiang, Zhang Zihan, and Deng Xinyang. "Multi-Attribute Decision Making Method Based on Aggregated Neutrosophic Set." May 20, 2019. https://doi.org/10.5281/zenodo.3055146.

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Multi-attribute decision-making refers to the decision-making problem of selecting the optimal alternative or sorting the scheme when considering multiple attributes, which is widely used in engineering design, economy, management and military, etc. But in real application, the attribute information of many objects is often inaccurate or uncertain, so it is very important for us to find a useful and efficient method to solve the problem.
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13

Mondal, Kalyan, Surapati Pramanik, and Florentin Smarandache. "Rough Neutrosophic TOPSIS for Multi-Attribute Group Decision Making." Neutrosophic Sets and Systems 13, 2016 (December 15, 2016). https://doi.org/10.5281/zenodo.570866.

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This paper is devoted to present Technique for Order Preference by Similarity to Ideal Solution (TOPSIS) method for multi-attribute group decision making under rough neutrosophic environment. The concept of rough neutrosophic set is a powerful mathematical tool to deal with uncertainty, indeterminacy and inconsistency. In this paper, a new approach for multi-attribute group decision making problems is proposed by extending the TOPSIS method under rough neutrosophic environment.
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14

Tooranloo, Hossein Sayyadi, and Arezoo Sadat Ayatollah. "Neutrosophic VIKOR approach for multi-attribute group decision-making." Operations Research and Decisions 34, no. 2 (2024). http://dx.doi.org/10.37190/ord240208.

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Uncertainty, imprecise, incomplete, and inconsistent information can be found in many real-life systems and may cause more complex problems. A neutrosophic set is an effective and useful tool to describe problems with Uncertainty, imprecise, incomplete, and inconsistent information. The neutrosophic set is characterized by three independent degrees namely the truth-membership degree (T), indeterminacy-membership degree (I), and falsity-membership degree (F). In this paper, we present an extension of the VIKOR method for the solution of multi-criteria decision-making problems, namely neutrosoph
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15

Ding, Juanjuan, Wenhui Bai, and Chao Zhang. "A New Multi-Attribute Decision Making Method with Single-Valued Neutrosophic Graphs." November 16, 2020. https://doi.org/10.5281/zenodo.4275824.

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In this paper, aiming at addressing multi-attribute decision-making problems with single-valued neutrosophic information, related models and multi-attribute decision-making approaches based on the fuzzy graph theory are studied. In specific, the notion of single-valued neutrosophic sets and graphs is firstly introduced together with several common operational laws. Then a multi-attribute decision making method based on single-valued neutrosophic graphs is established. Finally, an illustrative example and a comparative analysis are conducted to verify the feasibility and efficiency of the propo
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16

Pranab, Biswas, Pramanik Surapati, and Chandra Giri Bibhas. "Distance Measure Based MADM Strategy with Interval Trapezoidal Neutrosophic Numbers." April 28, 2018. https://doi.org/10.5281/zenodo.1235165.

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In this paper, we introduce interval trapezoidal neutrosophic number and define some arithmetic operations of the proposed interval trapezoidal neutrosophic numbers. Then we consider a multiple attribute decision making (MADM) problem with interval trapezoidal neutrosophic numbers. The weight information of each attribute in the multi attribute decision making problem is expressed in terms of interval trapezoidal neutrosophic numbers.
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17

NITAL, P. NIRMAL, and G. BHATT MANGAL. "Selection of Automated Guided Vehicle using Single Valued Neutrosophic Entropy Based Novel Multi Attribute Decision Making Technique." December 10, 2016. https://doi.org/10.5281/zenodo.200068.

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Selection of material handling equipment for typical conditions and handling environment is one of the multi attribute decision making problem. The objective of the research paper is to implement and validate multi attribute selection of automated guided vehicle for material handling purpose. The present paper proposes a single valued neutrosophic set with entropy weight based multi attribute decision making technique. A proposed technique also works with more uncertainty, imprecise, indeterminate and inconsistent information. The proposed methodology follows with the example for selection and
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18

Surapati, Pramanik, Mallick Rama, and Dasgupta Anindita. "Contributions of Selected Indian Researchers to Multi Attribute Decision Making in Neutrosophic Environment: An Overview." April 28, 2018. https://doi.org/10.5281/zenodo.1284870.

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Multi-attribute decision making (MADM) is a mathematical tool to solve decision problems involving conflicting attributes. With the increasing complexity, uncertainty of objective things and the neutrosophic nature of human thought, more and more attention has been paid to the investigation on multi attribute decision making in neutrosophic environment, and convincing research results have been reported in the literature.
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19

Piede, Liu, G. Tang, and W. Liu. "Induced generalized interval neutrosophic Shapley hybrid operators and their application in multi-attribute decision making." September 25, 2016. https://doi.org/10.5281/zenodo.235744.

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With respect to the interval neutrosophic multi-attribute decision-making (MADM) problems, the MADM method based on some interval neutrosophic aggregation operators is developed. Firstly, the induced generalized interval neutrosophic hybrid arithmetic averaging (IGINHAA) operator and the induced generalized interval neutrosophic hybrid geometric mean (IGINHGM) operator are proposed, which can weight all the input arguments and their ordered positions.
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20

Pranab, Biswas, Pramanik Surapati, and C. Giri Bibhas. "Entropy Based Grey Relational Analysis Method for Multi- Attribute Decision Making under Single Valued Neutrosophic Assessments." July 1, 2015. https://doi.org/10.5281/zenodo.22459.

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In this paper we investigate multi-attribute decision making problem with single-valued neutrosophic attribute values. Crisp values are inadequate to model real life situation due to imprecise information frequently used in decision making process. Neutrosophic set is one such tool that can handle these situations. The rating of all alternatives is expressed with single-valued neutrosophic set which is characterised by truth-membership degree, indeterminacy-membership degree, and falsity-membership degree. Weight of each attribute is completely unkn
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21

Rıdvan, Şahin, and Karabacak Mesut. "A multi attribute decision making method based on inclusion measure for interval neutrosophic sets." February 26, 2015. https://doi.org/10.5281/zenodo.23127.

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In this paper, we introduce an inclusion measure for interval neutrosophic sets, which is one of information measures of interval neutrosophic theory. For this purpose, we first give a system of axioms for inclusion measure of interval neutrosophic sets. Using the concept of distance measure, we develop a simple inclusion measure for ranking the interval neutrosophic sets. Finally, a multi attribute decision making problem is presented to show effectiveness of proposed inclusion measure, and results obtained are discussed. Though having a simple measure for calculation, the inclusion measure p
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22

Said, Broumi, and Smarandache Florentin. "Multi-Attribute Decision Making Based on Interval Neutrosophic Trapezoid Linguistic Aggregation Operators." February 6, 2016. https://doi.org/10.5281/zenodo.49136.

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Multi-attribute decision making (MADM) play an important role in many applications, due to the efficiency to handle indeterminate and inconsistent information, interval neutrosophic sets is widely used to model indeterminate information. In this paper, a new MADM method based on interval neutrosophic trapezoid linguistic weighted arithmetic averaging aggregation (INTrLWAA) operator and interval neutrosophic trapezoid linguistic weighted geometric aggregation (INTrLWGA) operatoris presented. A numerical example is presented to demonstrate the application and efficiency of the proposed method. &
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23

Surapati, Pramanik, and Mondal Kalyan. "Interval Neutrosophic Multi-Attribute Decision-Making Based on Grey Relational Analysis." May 17, 2015. https://doi.org/10.5281/zenodo.32259.

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This purpose of this paper is to introduce multi-attribute decision making based on the concept of interval neutrosophic sets. While the concept of neutrosophic sets is a powerful tool to deal with indeterminate and inconsistent data, the interval neutrosophic sets is also a powerful mathematical tool as well as more flexible to deal with incompleteness. The rating of all alternatives is expressed in terms of interval neutrosophic values characterized by interval truth-membership degree, interval indeterminacy-membership degree, and interval falsity-membership degree.
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24

Kalyan, Mondal, Pramanik Surapati, and Smarandache Florentin. "Rough Neutrosophic TOPSIS for Multi-Attribute Group Decision Making." August 6, 2017. https://doi.org/10.5281/zenodo.888897.

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25

Mondal, Kalyan, and Surapati Pramanik. "Rough Neutrosophic Multi-Attribute Decision-Making Based on Rough Accuracy Score Function." Neutrosophic Sets and Systems 8, 2015 (May 5, 2015). https://doi.org/10.5281/zenodo.571604.

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This paper presents multi-attribute decision making based on rough accuracy score function with rough neutrosophic attribute values. While the concept of neutrosophic sets is a powerful logic to handle indeterminate and inconsistent information, the theory of rough neutrosophic sets is also a powerful mathematical tool to deal with incompleteness. The rating of all alternatives is expressed with the upper and lower approximation operator and the pair of neutrosophic sets which are characterized by truth-membership degree, indeterminacy-membership degree, and falsity-membership degree.
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26

Pranab, Biswas, Pramanik Surapati, and C. Giri Bibhas. "Cosine Similarity Measure Based Multi-attribute Decision-making with Trapezoidal Fuzzy Neutrosophic Numbers." July 1, 2015. https://doi.org/10.5281/zenodo.22446.

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The objective of the study is to present cosine similarity measure based multi-attribute decision making under neutrosophic environment. The assesments of alternatives over the attributes are expressed with trapezoidal fuzzy neutrosophic numbers in which the three independent components namely, truth-membership degree (T), indeterminacy-membership degree (I) and falsity-membership degree (F) are expressed by trapezoidal fuzzy numbers. Cosine similarity measure between two trapezoidal fuzzy neutrosophic numbers and its properties are introduced. Expe
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27

Hossein, Sayyadi Tooranloo, Mahmood Zanjirchi Seyed, and Tavangar Mahtab. "ELECTRE Approach for Multi-attribute Decision-making in Refined Neutrosophic Environment." February 5, 2020. https://doi.org/10.5281/zenodo.3639344.

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Uncertainty, imprecise, incomplete, and inconsistent information can be found in many real-life systems and may enter some problems in a much more complex way. Neutrosophic set is the effective and useful tool to describe problems with Uncertainty, imprecise, incomplete, and inconsistent information. In this regard, the present study is trying to present a neutrosophic electrode model through an example to demonstrate the efficiency of the proposed model. In this example, 3 alternatives were evaluated on 5 criteria by 4 experts based on the neutrosophic linguisting variables. After converting
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28

Rehman, Ateeq Ur, Muhammad Gulistan, Mumtaz Ali, Mohammed M. Al-Shamiri, and Shahab Abdulla. "Development of neutrosophic cubic hesitant fuzzy exponential aggregation operators with application in environmental protection problems." Scientific Reports 13, no. 1 (2023). http://dx.doi.org/10.1038/s41598-022-22399-3.

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AbstractThe population growth and urbanization has caused an exponential increase in waste material. The proper disposal of waste is a challenging problem nowadays. The proper disposal site selection with typical sets and operators may not yield fruitful results. To handle such problems, the exponential aggregation operators based on neutrosophic cubic hesitant fuzzy sets are proposed. For appropriate decisions in a decision-making problem, it is important to have a handy environment and aggregation operators. Many multi attribute decision making methods often ignore the uncertainty and hence
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29

Partha, Pratim DEY, PRAMANIK Surapati, and C. GIRI Bibhas. "Neutrosophic Soft Multi-Attribute Group Decision Making Based On Grey Relational Analysis Method." December 6, 2013. https://doi.org/10.5281/zenodo.34869.

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The objective of the paper is to present neutrosophic soft multi attribute group decision making based on grey relational analysis involving multiple decision makers. The concept of neutrosophic soft sets is derived from the hybridization of the concepts of neutrosophic set and soft set. In the decision making process, the decision makers offer the rating of alternatives with respect to the parameters in terms of single valued neutrosophic set.
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30

Muhammad, Akram, Shahzadi Sundas, and Smarandache Florentin. "Multi-Attribute Decision-Making Method Based on Neutrosophic Soft Rough Information." March 20, 2018. https://doi.org/10.5281/zenodo.1410289.

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Soft sets (SSs), neutrosophic sets (NSs), and rough sets (RSs) are different mathematical models for handling uncertainties, but they are mutually related. In this research paper, we introduce the notions of soft rough neutrosophic sets (SRNSs) and neutrosophic soft rough sets (NSRSs) as hybrid models for soft computing. We describe a mathematical approach to handle decision-making problems in view of NSRSs. We also present an efficient algorithm of our proposed hybrid model to solve decision-making problems.
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31

Pramanik, Surapati, and Rama Mallick. "VIKOR based MAGDM Strategy with Trapezoidal Neutrosophic Numbers." Neutrosophic Sets and Systems 22 (December 10, 2018). https://doi.org/10.5281/zenodo.2160841.

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VIseKriterijumska Optimizacija I Kompromisno Resenje (VIKOR) is a popular strategy for multi- attribute decision making (MADM). We extend the VIKOR strategy for MAGDM problems in trapezoidal neutrosophic number environment. In decision making situation, single-valued trapezoidal neutrosophic numbers are employed to express the attribute values. Then we develop an extended VIKOR strategy to deal with MAGDM in single-valued trapezoidal neutrosophic number environment. The influence of decision-making mechanism coefficient is presented. To illustrate and validate the proposed VIKOR strategy, an i
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32

Pramanik, Surapati, Partha Pratim Dey, Bibhas C. Giri, and Florentin Smarandache. "An extended TOPSIS for multi-attribute decision making problems with neutrosophic cubic information." October 14, 2017. https://doi.org/10.5281/zenodo.1012217.

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The paper proposes a new technique for dealing with multi-attribute decision making problems through an extended TOPSIS method under neutrosophic cubic environment. Neutrosophic cubic set is the generalized form of cubic set and is the hybridization of a neutrosophic set with an interval neutrosophic set. In this study, we have defined some operation rules for neutrosophic cubic sets and proposed the Euclidean distance between neutrosophic cubic sets. In the decision making situation, the rating of alternatives with respect to some predefined attributes are presented in terms of neutrosophic c
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33

Dalapati, Pramanik, Alam, Smarandache, and Roy. "IN-cross Entropy Based MAGDM Strategy under Interval Neutrosophic Set Environment." Neutrosophic Sets and Systems 18/2017 (February 18, 2018). https://doi.org/10.5281/zenodo.1175163.

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Cross entropy measure is one of the best way to calculate the divergence of any variable from the priori one variable. We define a new cross entropy measure under interval neutrosophic set (INS) environment, which we call IN-cross entropy measure and prove its basic properties. We also develop weighted IN-cross entropy measure and investigats its basic properties. Based on the weighted IN-cross entropy measure, we develop a novel strategy for multi attribute group decision making (MAGDM) strategy under interval neutrosophic environment. The proposed multi attribute group decision making strate
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34

Neutrosophic, Sets and Systems. "A Comprehensive Analysis of Neutrosophic Bonferroni Mean Operator." February 17, 2024. https://doi.org/10.5281/zenodo.10674527.

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The Neutrosophic Bonferroni operator is a novel operator that we provide in this paper. Then the arithmetic operationsfor Neutrosophic Bonferroni operator is developed which tells the existence of Neutrosophic Bonferroni operator.Then its properties were discussed with special cases. To group decision-making issues with several attributes,arithmetic ranking operations and the Neutrosophic approach are used. The result is compared with the existingmethodology. The suggested approach will more accurately give the decision maker the ideal attribute than the existingsystem does. Neutrophic multicr
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35

Dey, Partha Pratim, Surapati Pramanik, and C. Bibhas Giri. "NEUTROSOPHIC SOFT MULTI-ATTRIBUTE DECISION MAKING BASED ON GREY RELATIONAL PROJECTION METHOD." May 4, 2016. https://doi.org/10.5281/zenodo.50930.

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The present paper proposes neutrosophic soft multi-attribute decision making based on grey relational projection method. Neutrosophic soft sets is a combination of neutrosophic sets and soft sets and it is a new mathematical apparatus to deal with realistic problems in the fields of medical sciences, economics, engineering, etc.
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Kalyan, Mondal, and Pramanik Surapati. "Rough Neutrosophic Multi-Attribute Decision-Making Based on Grey Relational Analysis." July 1, 2015. https://doi.org/10.5281/zenodo.22629.

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This paper presents rough netrosophic multiattribute  decision making based on grey relational analysis. While the concept of neutrosophic sets is a powerful logic to deal with indeterminate and inconsistent data, the theory of rough neutrosophic sets is also a powerful mathematical tool to deal with incompleteness.
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37

Pranab, Biswas, Pramanik Surapati, and C. Giri Bibhas. "TOPSIS Strategy for Multi-Attribute Decision Making with Trapezoidal Neutrosophic Numbers." April 28, 2018. https://doi.org/10.5281/zenodo.1235335.

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Technique for Order Preference by Similarity to Ideal Solution (TOPSIS) is a popular strategy for MultiAttribute Decision Making (MADM).  In this paper, we extend the TOPSIS strategy of MADM problems in trapezoidal neutrosophic number environment. The attribute values are expressed in terms of single-valued trapezoidal neutrosophic numbers.
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38

Raja, Muhammad Hashim, Gulistan Muhammad, Rehman Inayatur, Hassan Nasruddin, and Muhaimin Nasruddin Abdul. "Neutrosophic Bipolar Fuzzy Set and its Application in Medicines Preparations." February 5, 2020. https://doi.org/10.5281/zenodo.3639217.

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To tackle the real life problems we come across, in various fields like computer sciences, medical sciences, social sciences and engineering works where we are facing many ambiguities and imprecisions. Here we bring an idea of neutrosophic bipolar fuzzy decision making where hybridized multi-attributes are involved, which is a very helpful tool to tackle the ambiguities and imprecisions. We present the neutrosophic bipolar fuzzy transformation techniques. The different types of attributes are transformed into unified neutrosophic bipolar fuzzy values. It includes the group decision making mode
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Surapati, Pramanik, Roy Rumi, Kumar Roy Tapan, and Smarandache Florentin. "Multi Attribute Decision Making Strategy on Projection and Bidirectional Projection Measures of Interval Rough Neutrosophic Sets." April 28, 2018. https://doi.org/10.5281/zenodo.1235211.

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In this paper, we define projection and bidirectional projection measures between interval rough neutrosophic sets and prove their basic properties. Then two new multi attribute decision making strategies are proposed based on interval rough neutrosophic projection and bidirectional projection measures respectively. Then the proposed methods are applied for solving multi attribute decision making problems. Finally, a numerical example is solved to show the feasibility, applicability and effectiveness of the proposed strategies.  
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40

Liu, Chunfang, and Yue Sheng Luo. "The weighted distance measure based method to neutrosophic multi-attribute group decision making." January 8, 2015. https://doi.org/10.5281/zenodo.233958.

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Neutrosophic set (NS) is a generalization of fuzzy set (FS) that is designed for some practical situations in which each element has different truth membership function, indeterminacy membership function and falsity membership function. In this paper, we study the multi-attribute group decision making (MAGDM) problems under neutrosophic environment with the incompletely known or completely unknown attribute weight.
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41

P.D., Liu, Tang G.L., and Liu W.L. "Induced generalized interval neutrosophic Shapley hybrid operators and their application in multi-attribute decision making." May 21, 2019. https://doi.org/10.5281/zenodo.3073193.

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42

Pranab, Biswas, Pramanik Surapati, and C. Giri Bibhas. "TOPSIS method for multi-attribute group decision-making under single-valued neutrosophic environment." May 16, 2015. https://doi.org/10.5281/zenodo.23148.

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A single-valued neutrosophic set is a special case of neutrosophic set. It has been proposed as a generalization of crisp sets, fuzzy sets, and intuitionistic fuzzy sets in order to deal with incomplete information. In this paper, a new approach for multi-attribute group decision making problems is proposed by extending the technique for order preference by similarity to ideal solution to single-valued neutrosophic environment. Ratings of alternative with respect to each attribute are considered as singlevalued neutrosophic set that reflect the decision maker
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Surapati, Pramanik, Pratim Dey Partha, and Smarandache Florentin. "Correlation Coefficient Measures of Interval Bipolar Neutrosophic Sets for Solving Multi-Attribute Decision Making Problems." April 28, 2018. https://doi.org/10.5281/zenodo.1235151.

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Interval bipolar neutrosophic set is a significant extension of interval neutrosophic set where every element of the set comprises of three independent positive membership functions and three independent negative membership functions. In this study, we first define correlation coefficient, and weighted correlation coefficient measures of interval bipolar neutrosophic sets and prove their basic properties.
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Gulfam, Muhammad, Muhammad Khalid Mahmood, Florentin Smarandache, and Shahbaz Ali. "New dombi aggregation operators on bipolar neutrosophic set with application in multi-attribute decision-making problems." Journal of Intelligent & Fuzzy Systems, December 13, 2020, 1–18. http://dx.doi.org/10.3233/jifs-201762.

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In this paper, we investigate two new Dombi aggregation operators on bipolar neutrosophic set namely bipolar neutrosophic Dombi prioritized weighted geometric aggregation (BNDPWGA) and bipolar neutrosophic Dombi prioritized ordered weighted geometric aggregation (BNDPOWGA) by means of Dombi t-norm (TN) and Dombi t-conorm (TCN). We discuss their properties along with proofs and multi-attribute decision making (MADM) methods in detail. New algorithms based on proposed models are presented to solve multi-attribute decision-making (MADM) problems. In contrast, with existing techniques a comparison
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Surapati, Pramanik, Das Suman, Das Rakhal, and Chandra Tripathy Binod. "Neutrosophic BWM-TOPSIS Strategy under SVNS Environment." July 29, 2023. https://doi.org/10.5281/zenodo.8194759.

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Decision making under an uncertain environment is a critical task. In this article, we develop a Multi Attribute Decision Making (MADM) model using BWM and Neutrosophic-TOPSIS under Single Valued Neutrosophic Set (SVNS) environment. In developed model, BWM is utilized to find the weights of the attributes those are selected by a group of experts, and the Neutrosophic-TOPSIS is utilized to rank the alternatives
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Jie, Wang, Wei Guiwu, and Lu Mao. "TODIM Method for Multiple Attribute Group Decision Making under 2-Tuple Linguistic Neutrosophic Environment." May 22, 2019. https://doi.org/10.5281/zenodo.3135969.

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In this article, we extend the original TODIM (Portuguese acronym for Interactive Multi- Criteria Decision Making) method to the 2-tuple linguistic neutrosophic fuzzy environment to propose the 2TLNNs TODIM method. In the extended method, we use 2-tuple linguistic neutrosophic numbers (2TLNNs) to present the criteria values in multiple attribute group decision making (MAGDM) problems.
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47

M., Sagaya Bavia, Nagarajan D., Broumi S., Kavikumar J., and A.Rajkumar. "Neutrosophic in Multi-Criteria Decision Making for Location Selection." February 11, 2022. https://doi.org/10.5281/zenodo.6041399.

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Neutrosophic set (NS) theory has a diverse nature in dealing with impreciseness of real life events and has a wider range of applications in logic, algebra, topology, operation research, pattern recognition, artificial intelligence, neural networks and several other fields.In this paper, we combine single valued neutrosophic with we use the score and accuracy function and hybrid score accuracy function of single- valued neutrosophic number and ranking method for single- valued neutrosophic numbers to model logistics center location problem . The combined values of each alternative have been or
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A., Kanchana, D.Nagarajan, and Broumi S. "Multi-attribute group decision-making based on the Neutrosophic Bonferroni mean operator." August 21, 2023. https://doi.org/10.5281/zenodo.8271342.

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In this study, a Neutrosophic technique and arithmetic ranking operations are employed to group decisionmaking problems with many qualities. The outcome is contrasted with the current approach. When compared to the current method, the proposed method is much more manageable and useful for solving group decision making problems involving several qualities. All of the information provided by the decision makers (DMs) in the Neutrosophic Multi-Attribute Group Decision Making (NMAGDM) problems
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Dasan, M. Arockia, E. Bementa, Muhammad Aslam, and V. F. Little Flower. "Multi-attribute decision-making problem in career determination using single-valued neutrosophic distance measure." Complex & Intelligent Systems, May 3, 2024. http://dx.doi.org/10.1007/s40747-024-01433-z.

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AbstractIn this paper, we introduce a distance measure on single-valued neutrosophic sets by sine function which is a generalization of intuitionistic fuzzy sine distance measure. The axiom of metric on single-valued neutrosophic sets is verified and shows that the difference of distance measure from unity is a similarity measure. A new methodology for multi-attribute decision-making problems (MADM) is developed for the most common decision by the smallest measure value of the proposed single-valued neutrosophic distance measure. We further apply this distance measure to a multi-attribute deci
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Abhijit, Saha, Deli Irfan, and Broumi Said. "HESITANT Tringular Neutrosophic Numbers and Their Applications to MADM." July 19, 2020. https://doi.org/10.5281/zenodo.3951676.

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Hesitant neutrosophic sets can accomodate more uncertainty compare to hesitant fuzzy sets and hesitant intuitionistic sets. On the other hand, triangular neutrosophic numbers are often used by the decision makers to evaluate their opinion in multi-attribute group decision making problems. Based on the combination of triangular neutrosophic numbers and hesitant neutrosophic sets, in this paper, we propose hesitant triangular neutrosophic numbers. Also, we discuss various types of operations between them including some properties. Then, we propose various types of hesitant triangular neutrosophi
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