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Journal articles on the topic 'Neutrosophic linguistic variable'

Author: Grafiati

Published: 2 June 2025

Last updated: 31 July 2025

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1

Ye, Jun, Zebo Fang, and Wenhua Cui. "Vector Similarity Measures of Q-Linguistic Neutrosophic Variable Sets and Their Multi-Attribute Decision Making Method." Symmetry 10, no. 10 (2018): 531. http://dx.doi.org/10.3390/sym10100531.

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Since language is used for thinking and expressing habits of humans in real life, the linguistic evaluation for an objective thing is expressed easily in linguistic terms/values. However, existing linguistic concepts cannot describe linguistic arguments regarding an evaluated object in two-dimensional universal sets (TDUSs). To describe linguistic neutrosophic arguments in decision making problems regarding TDUSs, this study proposes a Q-linguistic neutrosophic variable set (Q-LNVS) for the first time, which depicts its truth, indeterminacy, and falsity linguistic values independently correspo

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Fan, Feng, and Hu. "Linguistic Neutrosophic Numbers Einstein Operator and Its Application in Decision Making." Mathematics 7, no. 5 (2019): 389. http://dx.doi.org/10.3390/math7050389.

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Linguistic neutrosophic numbers (LNNs) include single-value neutrosophic numbers and linguistic variable numbers, which have been proposed by Fang and Ye. In this paper, we define the linguistic neutrosophic number Einstein sum, linguistic neutrosophic number Einstein product, and linguistic neutrosophic number Einstein exponentiation operations based on the Einstein operation. Then, we analyze some of the relationships between these operations. For LNN aggregation problems, we put forward two kinds of LNN aggregation operators, one is the LNN Einstein weighted average operator and the other i

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Al-Quran, Ashraf, Hazwani Hashim, and Lazim Abdullah. "A Hybrid Approach of Interval Neutrosophic Vague Sets and DEMATEL with New Linguistic Variable." Symmetry 12, no. 2 (2020): 275. http://dx.doi.org/10.3390/sym12020275.

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Nowadays, real world problems are complicated because they deal with uncertainty and incomplete information. Obviously, such problems cannot be solved by a single technique because of the multiple perspectives that may arise. Currently, the combination of DEMATEL and the neutrosophic environment are still new and not fully explored. Previous studies of DEMATEL and this neutrosophic environment have been carried out based on numerical values to represent a new scale. Until now, little importance has been placed on the development of a linguistic variable for DEMATEL. It is important to develop

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Rahim, Nuraini, Lazim Abdullah, and Binyamin Yusoff. "A Border Approximation Area Approach Considering Bipolar Neutrosophic Linguistic Variable for Sustainable Energy Selection." Sustainability 12, no. 10 (2020): 3971. http://dx.doi.org/10.3390/su12103971.

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In the last few decades, the computational methods under Multi-Criteria Decision-Making (MCDM) have experienced significant growth in research interests from various scientific communities. Multi-Attributive Border Approximation area Comparison (MABAC) is one of the MCDM methods where its computation procedures are based on distances and areas, and able to express a complex decision systematically. Previous literature have suggested the combination of MABAC with fuzzy sets, in which this combination is used to solve problems that are characterized by uncertain and incomplete information. Diffe

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Ismail, Jamiatun Nadwa, Zahari Rodzi, Faisal Al Al-Sharqi, Hazwani Hashim, and Nor Hashimah Sulaiman. "The Integrated Novel Framework: Linguistic Variables in Pythagorean Neutrosophic Set with DEMATEL for Enhanced Decision Support." International Journal of Neutrosophic Science 21, no. 2 (2023): 129–41. http://dx.doi.org/10.54216/ijns.210212.

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This study proposes a methodology that integrates the Pythagorean Neutrosophic Set (PNS) with the Decision-Making Trial and Evaluation Laboratory (DEMATEL) approach. This integration is intended to effectively handle the challenges of uncertainty and linguistic vagueness that are commonly encountered in multi-criteria decision-making scenarios. The PNS-DEMATEL framework comprises eight distinct steps, wherein the fundamental divergence lies in the creation of a linguistic variable within the PNS-DEMATEL framework. The linguistic variable has been formulated utilizing the PNS methodology, there

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Sharma, M. K., Nitesh Dhiman, Shubham Kumar, Laxmi Rathour, and Vishnu Narayan Mishra. "Neutrosophic Monte Carlo Simulation Approach for Decision Making In Medical Diagnostic Process Under Uncertain Environment." International Journal of Neutrosophic Science 22, no. 1 (2023): 08–16. http://dx.doi.org/10.54216/ijns.220101.

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This work emphasis on the basic notions regarding the Neutrosophic Fuzzy Sets (NFSs) with operations and their applicability in medical diagnostic process. In this manuscript, we developed neutrosophic fuzzy set-based Monte Carlo simulation technique for the decision making in medical diagnostic processin fuzzy environment. In this work, we managed the waiting time and idle time of the doctor during the treatment process of the patients. The various parameters are stated as linguistic variable in the form of NFSs. The developed neutrosophic Monte Carlo simulation technique (NMCST) is extended

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Abdullah, Lazim, and Nur Liyana Amalini Mohd Kamal. "Bipolar Neutrosophic Set-DEMATEL and Its Application to Criteria of Sustainable Urban Transport." International Journal of Applied Mathematics, Computational Science and Systems Engineering 7 (July 7, 2025): 145–53. https://doi.org/10.37394/232026.2025.7.11.

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The Decision-Making Trial and Evaluation Laboratory (DEMATEL) is a widely used decision-making method that employs arithmetic operations and inverse matrices to establish causal relationships among criteria. Previous studies have explored its integration with various indeterminacy-based sets to address multi-criteria decision-making (MCDM) problems characterized by truth, indeterminacy, and falsity information. Unlike single-valued neutrosophic DEMATEL, which directly utilizes three-tuple memberships, this study introduces the bipolar neutrosophic DEMATEL approach. By incorporating positive an

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Razak, Samsiah Abdul, Zahari Md Rodzi, Faisal Al-Sharqi, and Nazirah Ramli. "Revolutionizing Decision-Making in E-Commerce and IT Procurement: An IVPNS-COBRA Linguistic Variable Framework for Enhanced Multi-Criteria Analysis." International Journal of Economic Sciences 14, no. 1 (2025): 1–31. https://doi.org/10.31181/ijes1412025176.

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Real-world challenges in e-commerce strategy selection and IT supplier evaluation are inherently complex due to uncertainty and incomplete information, necessitating a multi-faceted approach for effective decision-making. Traditional single methods often fail to address these complexities adequately. To overcome this limitation, this research introduces an advanced methodology by integrating the Interval-Valued Pythagorean Neutrosophic Set (IVPNS) with the Comprehensive Distance-Based Ranking (COBRA) approach, enhancing the handling of indeterminate information related to truth, falsity, and u

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Mohammad Kamari, Mohammad Shafiq, Zahari Md. Rodzi, and Nor Hanimah Kamis. "Pythagorean Neutrosophic Method Based on the Removal Effects of Criteria (PNMEREC): An Innovative Approach for Establishing Objective Weights in Multi-Criteria Decision-Making Challenges." Malaysian Journal of Fundamental and Applied Sciences 21, no. 1 (2025): 1678–96. https://doi.org/10.11113/mjfas.v21n1.3600.

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In the realm of multi-criteria decision-making (MCDM), the significance of criteria weights cannot be overstated. As a result, researchers have innovated and introduced various approaches aimed at precisely determining these weightings. This paper proposes a novel methodology that combines the Pythagorean neutrosophic set (PNS) with Method Based on the Removal Effects of Criteria (MEREC). This integrated method, PNMEREC seeks to offer a thorough and dependable method for evaluating criteria and establishing weightage in MCDM scenarios. PNS provides a more detailed way of handling uncertainty t

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Gulistan, Muhammad, Hafiz Wahab, Florentin Smarandache, Salma Khan, and Sayed Shah. "Some Linguistic Neutrosophic Cubic Mean Operators and Entropy with Applications in a Corporation to Choose an Area Supervisor." Symmetry 10, no. 10 (2018): 428. http://dx.doi.org/10.3390/sym10100428.

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In this paper, we combined entropy with linguisti neutrosophic cubic numbers and used it in daily life problems related to a corporation that is going to choose an area supervisor, which is the main target of our proposed model. For this, we first develop the theory of linguistic neutrosophic cubic numbers, which explains the indeterminate and incomplete information by truth, indeterminacy and falsity linguistic variables (LVs) for the past, present, as well as for the future time very effectively. After giving the definitions, we initiate some basic operations and properties of linguistic neu

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Zhai, Shanshan, and Qianwen Sun. "A VIKOR Method Based on the Relative Closeness on Interval Linguistic Neutrosophic Uncertain Linguistic Numbers." Plithogenic Logic and Computation 1 (April 29, 2024): 73–92. http://dx.doi.org/10.61356/j.plc.2024.1238.

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In actual multi-attribute group decision-making problems, due to the complexity and uncertainty of objective things and the ambiguity of human thinking, decision-makers find it hard to give accurate evaluation information by crisp numbers. Even the weights of attribute values and decision-makers are ambiguous. At this time, we are more inclined to adopt the intuitive form of linguistic variables such as "excellent", "good" or "bad" to describe attribute values and weights. So in this paper, based on a neutrosophic set (NS), we further propose interval linguistic neutrosophic uncertain linguist

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.., A., D. .., and Broumi Said. "Neutrosophic approach to Dynamic Programming on group Decision Making problems." International Journal of Neutrosophic Science 19, no. 2 (2022): 57–65. http://dx.doi.org/10.54216/ijns.190205.

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In this article, complicated group decision-making situations where the preference data is represented by linguistic variables are addressed using the dynamic programming approach. Making conclusions clear through accurate figures is difficult for decision-makers due to the complexity and ambiguity of reality. Neutrosophic is used to encode the linguistic variables because they cannot be directly computed. Neutrosophic sets are used to manage indeterminacy in a practical situation. The relationships between single and interval Neutrosophic sets are then measured using novel distance and simila

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Ye, Jun. "Multiple attribute group decision making based on interval neutrosophic uncertain linguistic variables." International Journal of Machine Learning and Cybernetics 8, no. 3 (2015): 837–48. http://dx.doi.org/10.1007/s13042-015-0382-1.

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Surya, V., and R. Sophia Porchelvi. "Evaluation of Vital Parameters Influencing Oxygen Demand with Pythagorean Neutrosophic-Fuzzy Cognitive Map." Indian Journal Of Science And Technology 17, no. 29 (2024): 3018–25. http://dx.doi.org/10.17485/ijst/v17i29.1734.

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Objectives: The primary goal is to provide a novel idea known as the Pythagorean neutrosophic fuzzy cognitive map. A multi-objective goal programming issue with a set of objectives and constraints is solved using PNCM. Methods: Linguistic variables are transformed into crisp values using a score function and the Pythagorean neutrosophic quantification scale. The linear combinations of crisp values and factors yield the goal and constraint equations. Findings: To enhance decision-making in emergency situations like COVID-19, the implications of the novel PNCM concept were utilized to examine th

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L, Abraham D. Egan, B. .., Rajkumar A., and Broumi said. "Selection of Agricultural Aircraft in Bipolar Neutrosophic Environment using Bipolar - TOPSIS method." International Journal of Neutrosophic Science 22, no. 3 (2023): 15–35. http://dx.doi.org/10.54216/ijns.220302.

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The neutrosophic set has numerous uses in a variety of industries. There are more advantages to use the Bipolar Neutrosophic set than other sets for elucidating a multi-criteria decision-making problem. The bipolar-neutrosophic set addresses both the positive and negative facets of the issue, improving the probability of a successful resolution. By implementing the removal area method, the de-bipolarization of the bipolar neutrosophic number with eleven parameters is formulated. The proposed Neutrosophic number is used to solve the selection of agricultural aircraft using given criteria and th

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Cui, Wenhua, and Jun Ye. "Multiple-Attribute Decision-Making Method Using Similarity Measures of Hesitant Linguistic Neutrosophic Numbers Regarding Least Common Multiple Cardinality." Symmetry 10, no. 8 (2018): 330. http://dx.doi.org/10.3390/sym10080330.

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Linguistic neutrosophic numbers (LNNs) are a powerful tool for describing fuzzy information with three independent linguistic variables (LVs), which express the degrees of truth, uncertainty, and falsity, respectively. However, existing LNNs cannot depict the hesitancy of the decision-maker (DM). To solve this issue, this paper first defines a hesitant linguistic neutrosophic number (HLNN), which consists of a few LNNs regarding an evaluated object due to DMs’ hesitancy to represent their hesitant and uncertain information in the decision-making process. Then, based on the least common multipl

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V, Surya, and Sophia Porchelvi R. "Evaluation of Vital Parameters Influencing Oxygen Demand with Pythagorean Neutrosophic-Fuzzy Cognitive Map." Indian Journal of Science and Technology 17, no. 29 (2024): 3018–25. https://doi.org/10.17485/IJST/v17i29.1734.

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Abstract <strong>Objectives:</strong> The primary goal is to provide a novel idea known as the Pythagorean neutrosophic fuzzy cognitive map. A multi-objective goal programming issue with a set of objectives and constraints is solved using PNCM. <strong>Methods:</strong> Linguistic variables are transformed into crisp values using a score function and the Pythagorean neutrosophic quantification scale. The linear combinations of crisp values and factors yield the goal and constraint equations. <strong>Findings:</strong> To enhance decision-making in emergency situations

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Boloș, Marcel-Ioan, Ioana-Alexandra Bradea, and Camelia Delcea. "Modeling the Covariance of Financial Assets Using Neutrosophic Fuzzy Numbers." Symmetry 15, no. 2 (2023): 320. http://dx.doi.org/10.3390/sym15020320.

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This paper aims to model the covariance of financial assets using neutrosophic fuzzy numbers. Two main concepts are discussed and used, namely the neutrosophic covariance of the financial assets and the independent neutrosophic portfolios. In terms of methodology, a three-step approach is proposed with the purpose of identifying the independent neutrosophic portfolio return, the independent neutrosophic portfolio risk and the structure of the independent neutrosophic portfolio. For this purpose, neutrosophic fuzzy theory is chosen for this type of approach as it allows a proper modeling of the

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S. Rubeela Mary. "The Application of Integrated Neutrosophic CRITIC and Preference Selection Index Methods for Multi Criteria Decision Making Over the Implementation of An Integrated Fish Farming System." Advances in Nonlinear Variational Inequalities 27, no. 2 (2024): 300–305. http://dx.doi.org/10.52783/anvi.v27.966.

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This paper presents the application of integrated Neutrosophic CRITIC (The Criteria Importance Through Inter-criteria Correlation) and PSI (Preference Selection Index) methods using by the linguistic variables are converted to Neutrosophic set, which is an effective decision making model in a real life environment. This integrated methods is used to rank the 5 alternatives (Labeo rohita , Cirrhina mrigala , Catfishes, Catla catla, Murrels or Snakeheads) and 6 main criteria( Azolla with Duck Cum-Fish Culture, Paddy -Cum -Fish Culture, Duck- Cum -Fish farming, Fish - Cum -Poultry farming, Fish-

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R, Hema, and Sudharani R. "A Newly Proposed and Comparative Study on Multi - Criteria Decision Making in Interval Valued Bipolar Triangular Neutrosophic Set by PROMETHEE II." Indian Journal of Science and Technology 15, no. 35 (2022): 1745–53. https://doi.org/10.17485/IJST/v15i35.993.

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Abstract <strong>Objectives:</strong> To propose the operational laws and operators in interval valued bipolar triangular neutrosophic sets and also to resolve multi criteria decision making problem using PROMETHEE II. <strong>Methods:</strong> Based on the combination of bipolar neutrosophic sets and interval valued triangular neutrosophic sets, an interval valued bipolar triangular neutrosophic set is proposed followed by its operational laws, score function, accuracy and certainty function. <strong>Findings:</strong> The arithmetic operators, operational laws and al

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Chen, Zhenyin, Suizhi Luo, and Feng Zheng. "Sustainability evaluation of sports tourism using a linguistic neutrosophic multi-criteria decision-making method." PLOS ONE 19, no. 3 (2024): e0300341. http://dx.doi.org/10.1371/journal.pone.0300341.

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Sports tourism represents a novel industrial manifestation of the profound integration between the tourism and sports sectors. The objective of this research is to examine an innovative multi-criteria decision-making (MCDM) method for the sustainability evaluation of sports tourism. The largest innovations are the expression and treatment of ambiguous data and interdependent evaluation criteria in the sports tourism sustainability evaluation process. On the one hand, intricate assessment data is represented using linguistic neutrosophic numbers (LNNs), which employ three linguistic variables t

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Luis, Luis, Patricia Marcela Andrade Aulestia, and Dildora Abduturapova. "ANOVA and the 2-Tuple Neutrosophic linguistic method: A case study to analyze the interaction between elements." International Journal of Neutrosophic Science 25, no. 1 (2025): 463–74. http://dx.doi.org/10.54216/ijns.250141.

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In this article, an innovative approach is presented that combines analysis of variance (ANOVA) with the Neutrosophic 2-Tuple linguistic method to explore and analyze the complex interactions between elements in various contexts. ANOVA, known for its ability to decompose variance and detect significant differences between groups, is here merged with the Neutrosophic method, which provides tools to handle the uncertainty and linguistic ambiguity present in many real data sets. This methodological synergy not only expands analytical possibilities, but also allows for a more nuanced and profound

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Fan, ChangXing, En Fan, and Keli Hu. "New form of single valued neutrosophic uncertain linguistic variables aggregation operators for decision-making." Cognitive Systems Research 52 (December 2018): 1045–55. http://dx.doi.org/10.1016/j.cogsys.2018.10.004.

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R, Hema, Sudharani R, and Kavitha M. "A Novel Approach on Plithogenic Interval Valued Neutrosophic Hypersoft Sets and its Application in Decision Making." Indian Journal of Science and Technology 16, no. 32 (2023): 2494–502. https://doi.org/10.17485/IJST/v16i32.1302.

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Abstract <strong>Objectives:</strong> In problem solving process, we have advanced the study of plithogenic interval valued neutrosophic hypersoft set, to analyse with all the appendages and traits under consideration for getting the better accuracy for the multi criterion decision making environment. <strong>Methods:</strong> Based on the combination of hypersoft sets, plithogenic sets and neutrosophic fuzzy sets, a plithogenic interval valued neutrosophic hypersoft set has been proposed. <strong>Findings:</strong> The tnorm , tconorm, accuracy function and plithogeni

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Guo, Zixue, and Fangfang Sun. "Multi-attribute decision making method based on single-valued neutrosophic linguistic variables and prospect theory." Journal of Intelligent & Fuzzy Systems 37, no. 4 (2019): 5351–62. http://dx.doi.org/10.3233/jifs-190509.

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Liu, Peide, and Guolin Tang. "Multi-criteria Group Decision-Making Based on Interval Neutrosophic Uncertain Linguistic Variables and Choquet Integral." Cognitive Computation 8, no. 6 (2016): 1036–56. http://dx.doi.org/10.1007/s12559-016-9428-2.

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Abdullah, Lazim, Zheeching Ong, and Shalela Mohd Mahali. "Single-Valued Neutrosophic DEMATEL for Segregating Types of Criteria: A Case of Subcontractors’ Selection." Journal of Mathematics 2021 (April 15, 2021): 1–12. http://dx.doi.org/10.1155/2021/6636029.

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The decision-making trial and evaluation laboratory (DEMATEL) has been used to solve numerous multicriteria decision-making (MCDM) problems, where real numbers are utilised in defining linguistic variables. Although the DEMATEL has shown its success in solving many decision-making problems, researchers have not fully understood how the DEMATEL works on non-real-number linguistic variables. Recent discovery of single-valued neutrosophic sets (SVNSs) can offer a new method to solve decision-making problems, where three memberships of SVNSs are used to define experts’ linguistic judgment. This pa

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Sharma, Sonam, and Surender Singh. "A Complementary Dual of Single-Valued Neutrosophic Entropy with Application to MAGDM." Mathematics 10, no. 20 (2022): 3726. http://dx.doi.org/10.3390/math10203726.

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A single-valued neutrosophic set (SVNS) is a subcategory of neutrosophic set that is used to represent uncertainty and fuzziness in three tiers, namely truthfulness, indeterminacy, and falsity. The measure of entropy of a SVNS plays an important role to determine the ambiguity in a variety of situations. The knowledge measure is a dual form of entropy and is helpful in certain counterintuitive situations. In this paper, we introduce a knowledge measure for the SVNS and contrast the same with existing measures. The comparative study reveals that the proposed knowledge measure is more effective

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Awang, Azzah, Nur Aizam, and Lazim Abdullah. "An Integrated Decision-Making Method Based on Neutrosophic Numbers for Investigating Factors of Coastal Erosion." Symmetry 11, no. 3 (2019): 328. http://dx.doi.org/10.3390/sym11030328.

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The recent boom of various integrated decision-making methods has attracted many researchers to the field. The recent integrated Analytic Network Process and Decision Making Trial and Evaluation Laboratory (ANP–DEMATEL) methods were developed based on crisp numbers and fuzzy numbers. However, these numbers are incapable of dealing with the indeterminant and inconsistent information that exists in real-life problems. This paper proposes improvements to the integrated ANP–DEMATEL method by bringing together the neutrosophic numbers, the ANP method, and the DEMATEL method, which are later abbrevi

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Abdulkhaleq, Abdulkhaleq. "Applied Linguistics driven Artificial Intelligence for Automated Sentiment Detection and Classification." International Journal of Neutrosophic Science 24, no. 3 (2024): 08–20. http://dx.doi.org/10.54216/ijns.240301.

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The widespread dissemination of World Wide Web has paved the way to express individual sentiments. Also, it is a medium with a massive quantity of data where the user can view the opinions of other users that are categorized into dissimilar sentimental classes and are growing increasingly as a major aspect in decision making. Sentiment analysis (SA) is a method utilized in natural language processing (NLP) that defines the emotion or sentiment formulated in the text portion. SA method is often performed on text datasets to assist in accepting client requirements, businesses monitoring brands,

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LASTRA, O. ESPINOZA, L. Baque Villanueva, and A. Izquierdo Mor� Morán. "Neutrosophic Multi-Criteria Method for Selecting Optimum Market." International Journal of Neutrosophic Science 19, no. 1 (2022): 298–305. http://dx.doi.org/10.54216/ijns.190126.

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The Indonesian rolling stock maker's target market and business strategy are analyzed here—the study's planning, data, and technique. To achieve sustainable growth across the board in the power generating industry, we concentrate on understanding the critical variables driving sustainable development in a market context unlike before. To identify the most vital aspects to consider while dealing with ambiguous rules, a methodology using Multiple-Criteria Decision-Making (MCDM) was presented. To address ambiguity and bring the problem-solving process closer to reality, we created a unique method

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Abdel-Basset, Mohamed, Abduallah Gamal, Ibrahim M. Hezam, and Karam M. Sallam. "An Effective Analysis of Risk Assessment and Mitigation Strategies of Photovoltaic Power Plants Based on Real Data: Strategies, Challenges, Perspectives, and Sustainability." International Journal of Energy Research 2023 (May 23, 2023): 1–33. http://dx.doi.org/10.1155/2023/1582795.

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Due to the extensive usage of fossil fuels such as coal, oil, and gas, the energy crisis and environmental pollution issues have garnered global attention, making the creation of clean, renewable energy an unavoidable option. Solar photovoltaic energy production is regarded as one of the most promising technologies owing to its safety, dependability, and lack of environmental impact. However, the adoption of photovoltaic systems comes with some risks that may affect their deployment. This paper examines the risks of sustainable photovoltaic power plants through a realistic case study. A compre

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Zhang, Kai, Jing Zheng, and Ying-Ming Wang. "Heterogeneous multi-attribute case retrieval method based on group decision making using incomplete weight information." Journal of Intelligent & Fuzzy Systems 40, no. 6 (2021): 10797–809. http://dx.doi.org/10.3233/jifs-201817.

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Case-based reasoning (CBR) is one of the most popular methods used in emergency decision making (EDM). Case retrieval plays a key role in EDM processes based on CBR and usually functions by retrieving similar historical cases using similarity measurements. Decision makers (DMs), thus, choose the most appropriate historical cases. Although uncertainty and fuzziness are present in the EDM process, in-depth research on these issues is still lacking. In this study, a heterogeneous multi-attribute case retrieval method based on group decision making (GDM) with incomplete weight information is devel

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ChangXing, Fan, Fan En, and Hu Keli. "New form of single valued neutrosophic uncertain linguistic variables aggregation operators for decision-making." May 21, 2019. https://doi.org/10.5281/zenodo.3079564.

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A neutrosophic uncertain linguistic variable is composed of an uncertain linguistic variable and a neutrosophic number, which has more advantages than both of uncertain linguistic variable and neutrosophic number in expression. Therefore, the decision-making theory and its related methods based on neutrosophic uncertain linguistic variables have received wide attention of scholars.

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Jun, Ye. "Neutrosophic linguistic variables and aggregation operators for multiple attribute group decision making." December 6, 2014. https://doi.org/10.5281/zenodo.34866.

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The paper proposes the new concepts of a neutrosophic linguistic variable (NLV) and a neutrosophic linguistic set (NLS) based on the combination of a linguistic variable and a neutrosophic number. Then, we introduce basic operational laws of NLVs and the expected value of a NLV to rank NLVs. Furthermore, we propose a neutrosophic linguistic weighted arithmetic average (NLWAA) operator and a neutrosophic linguistic weighted geometric average (NLWGA) operator and investigate their properties, and then establish a decision-making method based on the NLWAA and NLWGA operators to handle multiple at

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Zhang-peng, Tian, Wang Jing, Zhang Hong-yu, and Wang Jian-qiang. "Multi-criteria decision-making based on generalized prioritized aggregation operators under simplified neutrosophic uncertain linguistic environment." October 8, 2017. https://doi.org/10.5281/zenodo.1041593.

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A simplified neutrosophic uncertain linguistic set that integrates quantitative and qualitative evaluation can serve as an extension of both an uncertain linguistic variable and a simplified neutrosophic set.

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Jun, Ye, Fang Zebo, and Cui Wenhua. "Vector Similarity Measures of Q-Linguistic Neutrosophic Variable Sets and Their Multi-Attribute Decision Making Method." May 22, 2019. https://doi.org/10.5281/zenodo.3137013.

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Since language is used for thinking and expressing habits of humans in real life, the linguistic evaluation for an objective thing is expressed easily in linguistic terms/values. However, existing linguistic concepts cannot describe linguistic arguments regarding an evaluated object in two-dimensional universal sets (TDUSs).

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Kalyan, Mondal, Pramanik Surapati, and C. Giri Bibhas. "Multi-criteria Group Decision Making based on Linguistic Refined Neutrosophic Strategy." April 30, 2018. https://doi.org/10.5281/zenodo.1237920.

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Multi-criteria group decision making (MCGDM) strategy, which consists of a group of experts acting collectively for best selection among all possible alternatives with respect to some criteria, is focused on in this study. To develop the paper, we define linguistic neutrosophic refine set.

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Muhammad, Saqlain, Naveed Jafar Muhammad, and Riaz Muhammad. "A New Approach of Neutrosophic Soft Set with Generalized Fuzzy TOPSIS in Application of Smart Phone Selection." March 21, 2020. https://doi.org/10.5281/zenodo.3723161.

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With the invention of new technologies, the competition elevates in market. Therefore, it creates more difficulties for consumer to select the right smart phone. In this paper, a new approach is proposed to select smart phone, in which environment of decision making is MCDM. Firstly, an algorithm is proposed in which problem is formulated in the form of neutrosophic soft set and then solved with generalized fuzzy TOPSIS (GFT). Secondly, rankings are compared with [10]. Finally, it is concluded that proposed approach is applicable in decision-making where uncertainty and imprecise information-b

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40

Rodzi, Zahari, Noraini Ahmad, Nur Haziq Fikri Ahmad, and Samsiah Abdul Razak. "BIPOLAR PYTHAGOREAN FUZZY NEUTROSOPHIC SET (BPNS) INTEGRATED WITH AHP EXPRESS (BPNS-AHP EXPRESS) WITH LINGUISTIC VARIABLE: A NEW APPROACH." International Journal of the Analytic Hierarchy Process 16, no. 2 (2024). http://dx.doi.org/10.13033/ijahp.v16i2.1182.

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Decision-making in real-world situations inherently involves uncertainty and insufficient information. To overcome these challenges, decision-makers must adopt techniques that recognize and mitigate the influence of unknown or insufficiently known elements in the decision environment. A single technique often does not address these diverse scenarios, as multiple perspectives may emerge. AHP-express, a simplified form of the Analytic Hierarchy Process (AHP), has recently been introduced; however, the development of a new linguistic variable for AHP-express has not been thoroughly investigated.

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Gladys, Martha Flores-Choque, Maraza-Vilcanqui Beker, Maraza-Vilcanqui Nain, et al. "Evaluative Analysis of the Incorporation of ICT in the Solving of Mathematical Problems in Primary Education Students with the Help of Neutrosophic Statistics on Fuzzy Data." September 1, 2024. https://doi.org/10.5281/zenodo.13769034.

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This paper aims to determine the influence of incorporating Information and Communication Technologies (ICT) in solving mathematical problems in students of the Primary Educational Institution N° 70656 Ricardo Palma Puno, Peru. To collect the information, a pre-test and a post-test were applied in the variable "resolution of mathematical problems" to an experimental group that received classes with the help of the use of ICT. The test was applied to a control group of the same age that followed the traditional method of learning mathematics. Teachers were asked to evaluate children using a

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Jun, Ye. "Linguistic Neutrosophic Cubic Numbers and Their Multiple Attribute Decision-Making Method." September 8, 2017. https://doi.org/10.5281/zenodo.1041564.

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To describe both certain linguistic neutrosophic information and uncertain linguistic neutrosophic information simultaneously in the real world, this paper originally proposes the concept of a linguistic neutrosophic cubic number (LNCN), including an internal LNCN and external LNCN. In LNCN, its uncertain linguistic neutrosophic number consists of the truth, indeterminacy, and falsity uncertain linguistic variables, and its linguistic neutrosophic number consists of the truth, indeterminacy, and falsity linguistic variables to express their hybrid information.

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Jun, Ye. "Multiple attribute group decision making based on interval neutrosophic uncertain linguistic variables." October 2, 2017. https://doi.org/10.5281/zenodo.1041606.

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To deal with decision-making problems with interval neutrosophic uncertain linguistic information, the paper proposes a multiple attribute group decision-making method under an interval neutrosophic uncertain linguistic environment.

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Dey, Partha Pratim, Surapati Pramanik, and Bibhas Giri. "An extended grey relational analysis based multiple attribute decision making in interval neutrosophic uncertain linguistic setting." Neutrosophic Sets and Systems 11, 2016 (November 15, 2016). https://doi.org/10.5281/zenodo.571228.

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This paper investigates an extended grey relational analysis method for multiple attribute decision making problems under interval neutrosophic uncertain linguistic environment. Interval neutrosophic uncertain linguistic variables are hybridization of uncertain linguistic variables and interval neutrosophic sets and they can easily express the imprecise, indeterminate and inconsistent information which normally exist in real life situations.

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Pramanik, Surapati, Partha Pratim Dey, and C. Bibhas Giri. "An extended grey relational analysis based multiple attribute decision making in interval neutrosophic uncertain linguistic setting." May 4, 2016. https://doi.org/10.5281/zenodo.50942.

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This paper investigates an extended grey relational analysis method for multiple attribute decision making problems under interval neutrosophic uncertain linguistic environment. Interval neutrosophic uncertain linguistic variables are hybridization of uncertain linguistic variables and interval neutrosophic sets and they can easily express the imprecise, indeterminate and inconsistent information which normally exist in real life situations.

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Said, Broumi, Ye Jun, and Smarandache Florentin. "An Extended TOPSIS Method for Multiple Attribute Decision Making based on Interval Neutrosophic Uncertain Linguistic Variables." August 6, 2015. https://doi.org/10.5281/zenodo.49164.

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The interval neutrosophic uncertain linguistic variables can easily express the indeterminate and inconsistent information in real world, and TOPSIS is  a very effective decision making method more and more  extensive applications. In this paper, we will extend the TOPSIS method to deal with the interval neutrosophic uncertain linguistic information, and propose an extended TOPSIS method to solve the multiple attribute decision making problems in which the attribute value takes the form of the interval neutrosophic uncertain linguistic variables and attribute weight is unknown.

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Broumi, Said, Ye Jun, and Florentin Smarandache. "An Extended TOPSIS Method for Multiple Attribute Decision Making based on Interval Neutrosophic Uncertain Linguistic Variables." Neutrosophic Sets and Systems 8, 2015 (March 15, 2015). https://doi.org/10.5281/zenodo.571233.

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The interval neutrosophic uncertain linguistic variables can easily express the indeterminate and inconsistent information in real world, and TOPSIS is a very effective decision making method more and more extensive applications. In this paper, we will extend the TOPSIS method to deal with the interval neutrosophic uncertain linguistic information, and propose an extended TOPSIS method to solve the multiple attribute decision making problems in which the attribute value takes the form of the interval neutrosophic uncertain linguistic variables and attribute weight is unknown.

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Lihua, Yang, and Li Baolin. "Multi-valued Neutrosophic Linguistic Power OperatorOperators and their Applicationcations." May 20, 2019. https://doi.org/10.5281/zenodo.3056632.

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Motivated by the advantages of multi-valued neutrosophic sets (MVNSs) and linguistic variables (LVs), we introduce the concept of multi-valued neutrosophic linguistic sets (MVNLSs) and define the operational laws of multi-valued neutrosophic linguistic numbers (MVNLNs) based on Algebraic operations and the distance measure for MVNLNs.

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LUU, QUOC DAT, THO THONG NGUYEN, HOANG SON LE, et al. "Linguistic Approaches to Interval Complex Neutrosophic Sets in Decision Making." May 16, 2019. https://doi.org/10.5281/zenodo.2861558.

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One of the most efcient tools for modeling uncertainty in decision-making problems is the neutrosophic set (NS) and its extensions, such as complex NS (CNS), interval NS (INS), and interval complex NS (ICNS). Linguistic variables have been long recognized as a useful tool in decision-making problems for solving the problem of crisp neutrosophic membership degree. In this paper, we aim to introduce new concepts: single-valued linguistic complex neutrosophic set (SVLCNS-2) and interval linguistic complex neutrosophic set (ILCNS-2) that are more applicable and adjustable to real-world implementat

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Lilian, Shi, and Ye Jun. "Cosine Measures of Linguistic Neutrosophic Numbers and Their Application in Multiple Attribute Group Decision-Making." September 22, 2017. https://doi.org/10.5281/zenodo.1041479.

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