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Journal articles on the topic 'Interval neutrosophic linguistic information'

Author: Grafiati

Published: 2 June 2025

Last updated: 31 July 2025

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1

Zhai, Shanshan, Luran Zhao, and Dongxiao Hou. "Bonferroni Mean Operator of Interval Linguistic Neutrosophic Uncertain Linguistic Number and its Application in Multi-Attribute Group Decision-Making." HyperSoft Set Methods in Engineering 1 (April 22, 2024): 119–40. http://dx.doi.org/10.61356/j.hsse.2024.1239.

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This paper proposes the concept of interval linguistic neutrosophic uncertain linguistic number (IL-NULN). As a new and effective way of NS expression, ILNULN combines interval linguistic neutrosophic numbers and uncertain linguistic numbers, which can better handle uncertain and inconsistent information. In the ILNULN, the first part “uncertain linguistic number” reflects the attitude of the decision maker (DM) towards the evaluation object, and the second part “interval linguistic neutrosophic number” reflects the subjective linguistic judgment of the DM on the given uncertain linguistic num

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2

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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3

Khan, Qaisar, Rashad A. R. Bantan, and Mohammed Elgarhy. "Applications of Hesitant Interval Neutrosophic Linguistic Schweizer-Sklar Power Aggregation Operators to MADM." Journal of Function Spaces 2022 (March 19, 2022): 1–30. http://dx.doi.org/10.1155/2022/1654820.

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Hesitant interval neutrosophic linguistic sets (HINLSs) are one of the core generalization of various sets, such as neutrosophic set (NS), interval neutrosophic set (INS), and interval neutrosophic linguistic set (INLS). HINLS can represent the uncertainty, inconsistency, and reluctance of assessment specialists by expressing qualitative and quantitative information. The goal of this article is to introduce a novel MADM technique that can account for changes in the semantic environment as well as negative consequences of experts’ excessive evaluation values. First, several innovative operation

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4

Ye, Jun, and Wenhua Cui. "Operations and Aggregation Methods of Single-Valued Linguistic Neutrosophic Interval Linguistic Numbers and Their Decision Making Method." Information 9, no. 8 (2018): 196. http://dx.doi.org/10.3390/info9080196.

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To comprehensively describe uncertain/interval linguistic arguments and confident linguistic arguments in the decision making process by a linguistic form, this study first presents the concept of a single-valued linguistic neutrosophic interval linguistic number (SVLN-ILN), which is comprehensively composed of its uncertain/interval linguistic number (determinate linguistic argument part) and its single-valued linguistic neutrosophic number (confident linguistic argument part), and its basic operations. Then, the score function of SVLN-ILN based on the attitude index and confident degree/leve

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5

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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.., 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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7

Chen, Huakun, Jingping Shi, Yongxi Lyu, and Qianlei Jia. "A Decision-Making Model with Cloud Model, Z-Numbers, and Interval-Valued Linguistic Neutrosophic Sets." Entropy 26, no. 11 (2024): 892. http://dx.doi.org/10.3390/e26110892.

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Interval-valued linguistic neutrosophic sets (IVLNSs), Z-numbers, and the trapezium cloud model are powerful tools for expressing uncertainty and randomness. This paper aims to combine these methodologies. First, we review relevant concepts and operators, introducing a novel combination of IVLNSs and Z-numbers, which establishes a new form of expression. Subsequently, we propose the Z-interval-valued linguistic neutrosophic set-trapezium–trapezium cloud (Z-IVLNS-TTC) model, designed to minimize information loss and distortion during quantification. A novel method for calculating the objective

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8

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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9

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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Türkan, Yusuf Sait, Ecenur Alioğulları, and Duygu Tüylü. "Optimizing Location Selection for International Education Fairs: An Interval-Valued Neutrosophic Fuzzy Technique for Order of Preference by Similarity to Ideal Solution Approach." Sustainability 16, no. 23 (2024): 10227. http://dx.doi.org/10.3390/su162310227.

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The exponential growth in global student mobility has resulted in a corresponding increase in demand for international student fairs. Education fairs serve as pivotal platforms for the acquisition of information and the formulation of decisions pertaining to academic pursuits, with a considerable number of students ultimately enrolling in undergraduate, graduate, and language programs abroad. By reaching a large number of students at international education fairs, students from underdeveloped or developing countries benefit from educational opportunities in developed countries, providing signi

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11

Zhang, Sumin, and Jun Ye. "Multiple Attribute Group Decision-Making Models Using Single-Valued Neutrosophic and Linguistic Neutrosophic Hybrid Element Aggregation Algorithms." Journal of Mathematics 2022 (September 20, 2022): 1–10. http://dx.doi.org/10.1155/2022/1021280.

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Multiple attribute group decision-making (MAGDM) issues may involve quantitative and qualitative attributes. In inconsistent and indeterminate decision-making issues, current assessment information of quantitative and qualitative attributes with respect to alternatives only contains either numerical neutrosophic values or linguistic neutrosophic values as the single information expression. However, existing neutrosophic techniques cannot perform the mixed information denotation and aggregation operations of numerical neutrosophic values and linguistic neutrosophic values in neutrosophic decisi

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12

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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13

Tan, Ruipu, Wende Zhang, and Shengqun Chen. "Some Generalized Single Valued Neutrosophic Linguistic Operators and Their Application to Multiple Attribute Group Decision Making." Journal of Systems Science and Information 5, no. 2 (2017): 148–62. http://dx.doi.org/10.21078/jssi-2017-148-15.

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Abstract This paper proposes a group decision making method based on entropy of neutrosophic linguistic sets and generalized single valued neutrosophic linguistic operators. This method is applied to solve the multiple attribute group decision making problems under single valued neutrosophic liguistic environment, in which the attribute weights are completely unknown. First, the attribute weights are obtained by using the entropy of neutrosophic linguistic sets. Then three generalized single valued neutrosophic linguistic operators are introduced, including the generalized single valued neutro

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14

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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15

Song, Hongbing, and Yushui Geng. "Some Single-Valued Neutrosophic Uncertain Linguistic Maclaurin Symmetric Mean Operators and Their Application to Multiple-Attribute Decision Making." Symmetry 13, no. 12 (2021): 2322. http://dx.doi.org/10.3390/sym13122322.

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The Maclaurin symmetric mean (MSM) operator has a good aggregation effect. It can capture the relationships between multiple input parameters, and the neutrosophic uncertain linguistic numbers can well represent some indeterminate and incomplete information. In this paper, we combine the MSM operator with the singled-valued neutrosophic uncertain linguistic set and propose some MSM operators based on single-valued neutrosophic uncertain linguistic environment, such as single-valued neutrosophic uncertain linguistic Maclaurin symmetric mean(SVNULMSM) operator and single-valued neutrosophic unce

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16

Quynh, Vu Thi Nhu. "An extension of TOPSIS method using interval bipolar linguistic neutrosophic set and its application." Multidisciplinary Science Journal 5, no. 4 (2023): 2023045. http://dx.doi.org/10.31893/multiscience.2023045.

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TOPSIS, known as the “Technique for Order of Preference by Similarity to Ideal Solution” (TOPSIS), is one of the well-known methods for solving “multi-criteria decision-making” (MCDM) problems. Many TOPSIS methods have been developed to solve real-life problems using neutrosophic sets. However, no study has developed the TOPSIS method under interval bipolar linguistic neutrosophic environments. Therefore, this study aims to present a new concept of “interval bipolar linguistic neutrosophic set” (IBL_NS). IBL_NS is more flexible and adaptable to real-world applications than other sets. Some set

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17

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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18

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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19

Fan, Jianping, Feng Yan, and Meiqin Wu. "GLDS method for multiple attribute group decision making under 2-Tuple linguistic neutrosophic environment." Journal of Intelligent & Fuzzy Systems 40, no. 6 (2021): 11523–38. http://dx.doi.org/10.3233/jifs-202748.

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In this article, the gained and lost dominance score (GLDS) method is extended into the 2-tuple linguistic neutrosophic environment, which also combined the power aggregation operator with the evaluation information to deal with the multi-attribute group decision-making problem. Since the power aggregation operator can eliminate the effects of extreme evaluating data from some experts with prejudice, this paper further proposes the 2-tuple linguistic neutrosophic numbers power-weighted average operator and 2-tuple linguistic neutrosophic numbers power-weighted geometric operator to aggregate t

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20

Zhao, Shuping, Dong Wang, Liang Changyong, and Wenxing Lu. "Induced Choquet Integral Aggregation Operators with Single-Valued Neutrosophic Uncertain Linguistic Numbers and Their Application in Multiple Attribute Group Decision-Making." Mathematical Problems in Engineering 2019 (February 11, 2019): 1–14. http://dx.doi.org/10.1155/2019/9143624.

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For real decision-making problems, aggregating the attributes which have interactive or correlated characteristics by traditional aggregation operators is unsuitable. Thus, applying Choquet integral operator to approximate and simulate human subjective decision-making process, in which independence among the input arguments is not necessarily assumed, would be suitable. Moreover, using single-valued neutrosophic uncertain linguistic sets (SVNULSs) can express the indeterminate, inconsistent, and incomplete information better than FSs and IFSs. In this paper, we studied the MAGDM problems with

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21

Liu, Donghai, Xiaohong Chen, and Dan Peng. "Cosine Distance Measure between Neutrosophic Hesitant Fuzzy Linguistic Sets and Its Application in Multiple Criteria Decision Making." Symmetry 10, no. 11 (2018): 602. http://dx.doi.org/10.3390/sym10110602.

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This paper proposes a neutrosophic hesitant fuzzy linguistic term set (NHFLTS) based on hesitant fuzzy linguistic term set (HFLTS) and neutrosophic set (NS), which can express the inconsistent and uncertainty information flexibly in multiple criteria decision making problems. The basic operational laws of NHFLTS based on linguistic scale function are also discussed. Then we propose the generalized neutrosophic hesitant fuzzy linguistic distance measure and discuss its properties. Furthermore, a new similarity measure of NHFLTS combines the generalized neutrosophic hesitant fuzzy linguistic dis

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Rosli, Siti Nur Idara, and Mohammad Izat Emir Zulkifly Zulkifly. "Interval Neutrosophic Cubic Bézier Curve Approximation Model for Complex Data." Malaysian Journal of Fundamental and Applied Sciences 20, no. 2 (2024): 336–46. http://dx.doi.org/10.11113/mjfas.v20n2.3240.

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Complex data is defined as data that has the qualities of huge data, a lack of data information, and uncertainty. This paper discussed constructing the interval neutrosophic cubic Bézier curve (INCBC) approximation model for complex data. To construct the interval neutrosophic data point (INDP) based on the definition of interval neutrosophic set (INS), interval neutrosophic relation (INR) and interval neutrosophic point (INP). Next is the introduction of an interval neutrosophic control point (INCP) that blends with the theory of interval neutrosophic set and the Bernstein basis function. Lat

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Dat, Luu Quoc, Nguyen Tho Thong, Le Hoang Son, et al. "Linguistic Approaches to Interval Complex Neutrosophic Sets in Decision Making." IEEE Access 7 (2019): 38902–17. http://dx.doi.org/10.1109/access.2019.2902841.

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24

Ye, Jun. "Improved Cross Entropy Measures of Single Valued Neutrosophic Sets and Interval Neutrosophic Sets and Their Multicriteria Decision Making Methods." Cybernetics and Information Technologies 15, no. 4 (2015): 13–26. http://dx.doi.org/10.1515/cait-2015-0051.

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Abstract Due to some drawbacks of the cross entropy between Single Valued Neutrosophic Sets (SVNSs) in dealing with decision-making problems, the existing single valued neutrosophic cross entropy indicates an asymmetrical phenomenon or may produce an undefined (unmeaningful) phenomenon in some situations. In order to overcome these disadvantages, this paper proposes an improved cross entropy measure of SVNSs and investigates its properties, and then extends it to a cross entropy measure between interval neutrosophic sets (INSs). Furthermore, the cross entropy measures are applied to multicrite

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25

Ye, Jun. "Group decision-making strategy based on aggregation operators of linguistic confidence interval neutrosophic numbers in a linguistic neutrosophic multivalued scenario." Engineering Applications of Artificial Intelligence 141 (February 2025): 109823. https://doi.org/10.1016/j.engappai.2024.109823.

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Tola, Keneni Abera, V. N. Srinivasa Rao Repalle, and Mamo Abebe Ashebo. "Theory and Application of Interval-Valued Neutrosophic Line Graphs." Journal of Mathematics 2024 (March 19, 2024): 1–17. http://dx.doi.org/10.1155/2024/5692756.

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Neutrosophic graphs are used to model inconsistent information and imprecise data about any real-life problem. It is regarded as a generalization of intuitionistic fuzzy graphs. Since interval-valued neutrosophic sets are more accurate, compatible, and flexible than single neutrosophic sets, interval-valued neutrosophic graphs (IVNGs) were defined. The interval-valued neutrosophic graph is a fundamental issue in graph theory that has wide applications in the real world. Also, problems may arise when partial ignorance exists in the datasets of membership [0, 1], and then, the concept of IVNG is

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Palanikumar, M., K. Arulmozhi, and Aiyared Iampan. "Interval Valued Neutrosophic Subbisemirings of Bisemirings." International Journal of Neutrosophic Science 19, no. 1 (2022): 116–31. http://dx.doi.org/10.54216/ijns.190109.

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We introduce the notion of interval valued neutrosophic subbisemirings (IVNSBSs), level sets of IVNSBSs and interval valued neutrosophic normal subbisemirings (IVNNSBSs) of bisemirings. Also, we introduce an approach to (α , β)-IVNSBSs and IVNNSBSs over bisemirings. Let Ã be an interval valued neutrosophic set (IVN set) in a bisemiring S. We have proved that š = (sTA‚ sIA‚ sFA) is an IVNSBS of S if and only if all non-void level set S(T,S) is a subbisemiring of S for t, s ∈ [[0,1]]. Let Ã be an IVNSBS of a bisemiring S and V be the strongest interval valued neutrosophic relation (SIVNR) of S.

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Liu, Peide, Qaisar Khan, Jun Ye, and Tahir Mahmood. "Group Decision-Making Method Under Hesitant Interval Neutrosophic Uncertain Linguistic Environment." International Journal of Fuzzy Systems 20, no. 7 (2018): 2337–53. http://dx.doi.org/10.1007/s40815-017-0445-4.

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Wang, Tongjuan. "The Projection Model with Unknown Weight Information under Interval Neutrosophic Environment and Its Application to Software Quality-in-Use Evaluation." Mathematical Problems in Engineering 2020 (February 24, 2020): 1–11. http://dx.doi.org/10.1155/2020/7279420.

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Interval neutrosophic sets (INSs) provide us with a more flexible and effective way to express incomplete, indeterminate, and inconsistent information. The purpose of this paper is to introduce the new multicriteria decision-making (MCDM) method based on the improved projection model under the interval neutrosophic environment. In this paper, we investigated the basic concepts and operational rules of interval neutrosophic numbers (INNs), then proposed the projection of two INNs and improved the entropy formula of the INNs. Furthermore, this paper took account into the decision maker’s attitud

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Jun, Ye. "Multiple attribute decision-making method under hesitant interval neutrosophic linguistic environment." December 6, 2013. https://doi.org/10.5281/zenodo.34858.

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Motivated by the ideas of interval neutrosophic linguistic sets (INLSs) and hesitant fuzzy sets (HFSs), this paper proposes the concept of hesitant interval neutrosophic linguistic sets (HINLSs) and defines the operational laws of hesitant interval neutrosophic linguistic elements (HINLEs) and the score, accuracy and certainty functions for HINLEs. Then, a hesitant interval neutrosophic linguistic weighted average (HINLWA) operator and a hesitant interval neutrosophic linguistic weighted geometric (HINLWG) operator are developed to aggregate the hesitant interval neutrosophic linguistic inform

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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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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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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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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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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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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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Yushui, Geng, Wang Xingang, Li Xuemei, Yu Kun, and Liu Peide. "Some Interval Neutrosophic Linguistic Maclaurin Symmetric Mean Operators and Their Application in Multiple Attribute Decision Making." April 22, 2018. https://doi.org/10.5281/zenodo.1413925.

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There are many practical decision-making problems in people’s lives, but the information given by decision makers (DMs) is often unclear and how to describe this information is of critical importance. Therefore, we introduce interval neutrosophic linguistic numbers (INLNs) to represent the less clear and uncertain information and give their operational rules and comparison methods.

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Nixon, Patricio Lastra Calderón, Lizeth Villarruel Delgado Dayana, Sandoval Malquín Danny, and Araujo Guerrón Eddy. "Proposal of a neutrosophic index to evaluate the management of internal control." April 25, 2020. https://doi.org/10.5281/zenodo.3843315.

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Abstract.Corporate auditing is part of the necessary mechanisms to evaluate and monitor the practices being carried out in enterprises. It also allows for the timely correction of future trends that will damage the company. Internal control is part of these audits, where the company is internally analyzed, and is a highly recommended practice for both state and private companies. Evaluation of internal control presents some challenges, such as the presence of incomplete or contradictory information, as well as the importance of properly understanding and communicating what it is wished to stud

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Liu, Hui. "Performance evaluation of family business strategic transition based on the 2-tuple linguistic neutrosophic number multiple attribute group decision making." Journal of Intelligent & Fuzzy Systems, July 27, 2022, 1–13. http://dx.doi.org/10.3233/jifs-221514.

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Since 2010, China’s traditional industry has entered a critical stage of development and enterprise reform and development is imminent. Product homogenization is serious in this market, so that the competition among enterprises is fierce. At the same time, international brands continue to enter the Chinese consumption market, which intensifies the competition and seriously squeezes the market share of Chinese local brands. However, the popularization and development of the Internet and the change of people’s consumption concept and level make the market put forward higher requirements for the

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Sun, Peixi, Tong Cui, and Shixin Qi. "MADM framework based on 2-tuple linguistic neutrosophic sets and its application to comprehensive evaluation of corporate cultural competitiveness." Journal of Intelligent & Fuzzy Systems, August 17, 2023, 1–17. http://dx.doi.org/10.3233/jifs-232024.

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Corporate culture is the sum of corporate values, systems, and behavioral norms formed in the long-term survival and development of an enterprise. It is the long-term accumulation of consensus among all employees in the enterprise. In the context of today’s global economic integration trend, the role of corporate culture construction in promoting enterprise development, improving business performance, and enhancing internal cohesion and external competitiveness is becoming increasingly significant. How to strengthen the construction of corporate culture and establish excellent corporate cultur

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Rosa, María Montalvo Pantoja, Analía Narváez Ortiz Karla, Guaytarilla Salas Sandra, and Alonso Pico Olga. "Prioritization internal factors in the emergency service of the "Luis Gabriel Dávila"Hospital that causethe re-entry of patientswithin 48 hours,based on neutrosophic DEMATEL." April 25, 2020. https://doi.org/10.5281/zenodo.3843537.

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Abstract. A high incidenceof patientreadmission in a hospital is a public health problem to consider. This investigation aims to addressthis problem at the "Luis Gabriel Dávila" hospital in the Province of Carchi, Ecuador, in its emergency area, where readmissionincidenceis considered in a time span of 48 hours. For this end, NeutrosophicDEMATEL method was used as the technique that studies the cause-effect relationships to allow decision-making in the problems solution of this type. NeutrosophicDEMATEL includes the modeling of indeterminacy due tothe lack of information,or co

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"Integration of Grab Methods with Artificial Neural Networks for Enhanced Decision-Making Systems." REST Journal on Data Analytics and Artificial Intelligence 4, no. 1 March 2025 (2025): 344–51. https://doi.org/10.46632/jdaai/4/1/39.

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This study explores the architecture, development, and practical applications of artificial neural networks (ANNs), with advances in Gray Relational Analysis (GRA) techniques. ANNs are computational models designed to model biological neural systems, consisting of layers of interconnected neurons—i.e., input, hidden, and output layers—connected by synaptic weights. Operating through a connectionist approach, these networks effectively mimic the four basic functions of biological neurons: receiving input, integrating information, processing data, and generating output. Traditional ANNs, althoug

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"Integration of Grab Methods with Artificial Neural Networks for Enhanced Decision-Making Systems." REST Journal on Data Analytics and Artificial Intelligence 4, no. 1 March 2025 (2025): 344–51. https://doi.org/10.46632/4/1/39.

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This study explores the architecture, development, and practical applications of artificial neural networks (ANNs), with advances in Gray Relational Analysis (GRA) techniques. ANNs are computational models designed to model biological neural systems, consisting of layers of interconnected neurons—i.e., input, hidden, and output layers—connected by synaptic weights. Operating through a connectionist approach, these networks effectively mimic the four basic functions of biological neurons: receiving input, integrating information, processing data, and generating output. Traditional ANNs, althoug

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Jun, Ye, and Cui Wenhua. "Operations and Aggregation Methods of Single-Valued Linguistic Neutrosophic Interval Linguistic Numbers and Their Decision Making Method." May 21, 2019. https://doi.org/10.5281/zenodo.3080727.

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To comprehensively describe uncertain/interval linguistic arguments and confident linguistic arguments in the decision making process by a linguistic form, this study first presents the concept of a single-valued linguistic neutrosophic interval linguistic number (SVLN-ILN), which is comprehensively composed of its uncertain/interval linguistic number (determinate linguistic argument part) and its single-valued linguistic neutrosophic number (confident linguistic argument part), and its basic operations.

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Florentin, Smarandache. "Refined Literal Indeterminacy and the Multiplication Law of Subindeterminacies." September 6, 2015. https://doi.org/10.5281/zenodo.49153.

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 In this paper, we make a short history about: the neutrosophic set, neutrosophic numerical components and neutrosophic literal components, neutrosophic numbers, neutrosophic intervals, neutrosophic dual number, neutrosophic special dual number, neutrosophic special quasi dual number, neutrosophic linguistic number, neutrosophic linguistic interval-style number, neutrosophic hypercomplex numbers of dimension n, and elementary neutrosophic algebraic structures. 

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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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Minna, Xu, Yong Rui, and Belayne Yohannes. "Decision Making Methods with Linguistic Neutrosophic Information: A Review." December 1, 2020. https://doi.org/10.5281/zenodo.4300630.

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Linguistic neutrosophic information and its extension have been long recognized as a useful tool in decision-making problems in many areas. This paper briefly describes the development process of linguistic neutrosophic information expressions, and gives in-depth studies on seven different concepts and tools. At the same time, a brief evaluation and summary of the decision-making methods of its various measures and aggregation operators are also made. A comparative analysis of different linguistic neutrosophic sets is made with examples to illustrate the effectiveness and practicability of dec

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Yongfeng, Pang, and Yang Wei. "Hesitant Neutrosophic Linguistic Sets and Their Application in Multiple Attribute Decision Making." September 11, 2018. https://doi.org/10.5281/zenodo.1413067.

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In this paper, the hesitant neutrosophic linguistic set is first defined by extending a hesitant fuzzy set to accommodate linguistic terms and neutrosophic fuzzy values. Some operational laws are defined for hesitant neutrosophic linguistic fuzzy information.

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Said, Broumi, Bakali Assia, Talea Mohamed, Smarandache Florentin, Uluçay Vakkas, and Sahin Mehmet. "Neutrosophic Sets: An Overview." April 30, 2018. https://doi.org/10.5281/zenodo.1237940.

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In this study, we give some concepts concerning the neutrosophic sets, single valued neutrosophic sets, interval-valued neutrosophic sets, bipolar neutrosophic sets, neutrosophic hesitant fuzzy sets, inter-valued neutrosophic hesitant fuzzy sets, refined neutrosophic sets, bipolar neutrosophic refined sets, multi-valued neutrosophic sets, simplified neutrosophic linguistic sets, neutrosophic over/off/under sets, rough neutrosophic sets, rough bipolar neutrosophic sets, rough neutrosophic hyper-complex set, and their basic operations. Then we introduce triangular neutrosophic numbers, trapezoid

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