Article
Automation & Control Systems
Jun Ye, Jiamin Song, Shigui Du
Summary: This study introduces the concept of neutrosophic multi-valued sets and proposes a method to transform them into consistency single-valued neutrosophic sets, allowing for better expression and operation of different lengths/cardinalities of neutrosophic multi-valued elements. Two correlation coefficients and a decision-making approach are established based on this transformation, and the effectiveness and rationality of the method are demonstrated through an illustrative example and comparison with existing methods.
INTERNATIONAL JOURNAL OF FUZZY SYSTEMS
(2022)
Article
Computer Science, Artificial Intelligence
Mesut Karabacak
Summary: This study introduces a correlation coefficient for measuring the interrelationship between uncertain and fuzzy sets. The study takes into account the reliability level of the data and proposes a new correlation coefficient. Furthermore, two decision models are developed and their effectiveness is demonstrated through application examples and performance evaluation.
JOURNAL OF INTELLIGENT & FUZZY SYSTEMS
(2023)
Article
Multidisciplinary Sciences
Hongbing Song, Yushui Geng
Summary: In this paper, the Maclaurin symmetric mean (MSM) operator is combined with single-valued neutrosophic uncertain linguistic set to propose new operators, introducing weighted methods as well. The effectiveness and superiority of the method are verified through an investment example study.
Article
Engineering, Civil
Shigui Du, Jun Ye, Rui Yong, Fangwei Zhang
Summary: This study proposes a simplified neutrosophic indeterminate set (SNIS) to describe the uncertainty degrees of truth, falsity, and indeterminacy, and introduces q-indeterminate correlation coefficients of SNISs for multicriteria decision-making. Decision makers' risk attitudes, such as small risk for q = 0, moderate risk for q = 0.5, and large risk for q = 1, are taken into consideration, demonstrating practicality and flexibility in the SNIS setting.
JOURNAL OF CIVIL ENGINEERING AND MANAGEMENT
(2021)
Article
Engineering, Multidisciplinary
Rui Yong, Jun Ye, Shigui Du, Aqin Zhu, Yingying Zhang
Summary: This paper develops the Aczel-Alsina aggregation operators of simplified neutrosophic numbers (SNNs) for multiple attribute decision-making (MADM) problems. The established MADM method overcomes the insufficiency of decision flexibility in existing methods and demonstrates flexible decision-making.
CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES
(2022)
Article
Engineering, Multidisciplinary
Angyan Tu, Jiancheng Chen, Bing Wang
Summary: This paper investigates the use of neutrosophic multi-valued sets and consistent single-valued neutrosophic sets in representing and solving decision-making problems with multi-valued information. The authors propose cotangent similarity measures based on cotangent function and apply them to the selection of potential cars, achieving valid results.
CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES
(2022)
Article
Computer Science, Artificial Intelligence
Jun Ye, Shigui Du, Rui Yong
Summary: The study introduces a new approach with single- and interval-valued hybrid neutrosophic multi-valued sets (SIVHNMVS) and a related multi-attribute group decision-making (MAGDM) method, contributing to a novel way to address group decision-making problems.
COMPLEX & INTELLIGENT SYSTEMS
(2021)
Article
Computer Science, Artificial Intelligence
Lele Zhang, Cheng Zhang, Guangdong Tian, Zhaofang Chen, Amir M. Fathollahi-Fard, Xian Zhao, Kuan Yew Wong
Summary: This paper proposes a new multi-criteria group-based decision-making (MCGDM) method based on the linguistic neutrosophic cloud (LNC) to solve the problems in previous studies and verifies the feasibility of the proposed method by solving an auto part selection problem.
EXPERT SYSTEMS WITH APPLICATIONS
(2023)
Article
Engineering, Multidisciplinary
Dongsheng Xu, Lijuan Peng
Summary: Decision-making problems are complex and subjective, requiring different forms of information expression and the best method for specific situations; multi-valued neutrosophic set effectively describes incomplete, uncertain, or inconsistent information; a new method combining TODIM and TOPSIS is proposed to solve multi-attribute decision-making problems.
CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES
(2021)
Article
Computer Science, Artificial Intelligence
Gourangajit Borah, Palash Dutta
Summary: This article introduces two new weighted vector similarity measures for single-valued neutrosophic sets and validates their applications in multi-attribute decision-making problems. The results demonstrate the high accuracy and effectiveness of these measures. Furthermore, the newly constructed measures show potential for diverse applications in various fields.
COGNITIVE COMPUTATION
(2021)
Article
Computer Science, Artificial Intelligence
Shigui Du, Jun Ye, Rui Yong, Fangwei Zhang
Summary: The concept of neutrosophic Z-number (NZN) set, operations of NZNs, a score function for ranking NZNs, as well as NZN weighted arithmetic and geometric averaging operators were proposed in this paper. A multicriteria decision making (MDM) approach in the NZN environment was developed and demonstrated through an illustrative example about selecting business partners. The effectiveness and applicability of the MDM approach in the NZN setting were showcased.
COMPLEX & INTELLIGENT SYSTEMS
(2021)
Article
Mathematics, Applied
M. Palanikumar, K. Arulmozhi, Chiranjibe Jana
Summary: This communication presents new methods for solving multiple attribute decision-making problems based on Pythagorean neutrosophic normal interval-valued set (PNSNIVS). Various aggregating operations and new notions are discussed, including Pythagorean neutrosophic normal interval-valued weighted averaging (PNSNIVWA), Pythagorean neutrosophic normal interval-valued weighted geometric (PNSNIVWG), generalized Pythagorean neutrosophic normal interval-valued weighted averaging (GPNSNIVWA), and generalized Pythagorean neutrosophic normal interval-valued weighted geometric (GPNSNIVWG). The article also includes an algorithm for MADM problems based on these operators, and the applicability of Euclidean and Hamming distance measures in real-life examples. Finally, the communication elaborates on important properties of these sets under various algebraic operations.
COMPUTATIONAL & APPLIED MATHEMATICS
(2022)
Article
Computer Science, Artificial Intelligence
Harish Garg
Summary: This paper presents an extension of the single-valued neutrosophic set by incorporating the features of exponential and logarithmic parameters. The proposed set, named exponential-logarithm single-valued neutrosophic set, includes a character parameter that allows decision-makers to make decisions according to their needs. Various weighted operators are defined to aggregate information, and the characteristics of these operators are illustrated. The paper also introduces a new exponential entropy measure and investigates the impact of membership degrees. Furthermore, a multi-attribute group decision-making algorithm is constructed, and its performance is compared with existing studies through case studies.
EXPERT SYSTEMS WITH APPLICATIONS
(2024)
Article
Computer Science, Artificial Intelligence
Jun Ye
Summary: Zadeh introduced Z-numbers with fuzzy value and reliability measure, but lacked indeterminacy and falsity fuzzy values and reliability measures. Neutrosophic Z-number (NZN) was proposed to express inconsistent, incomplete and indeterminate knowledge and judgments. Generalized distance and similarity measures were introduced for NZN sets, enhancing the reliability and superiority in decision making.
Article
Mathematics
Wei Yang, Yongfeng Pang
Summary: In this paper, T-spherical fuzzy Bonferroni mean operators are developed by extending the Bonferroni mean and Dombi mean to a T-Spherical fuzzy environment, to deal with complicated decision problems. Several T-spherical fuzzy Bonferroni mean operators are proposed, and their properties are studied. A new decision making method based on these operators is also proposed.
Article
Automation & Control Systems
Jun Ye, Jiamin Song, Shigui Du
Summary: This study introduces the concept of neutrosophic multi-valued sets and proposes a method to transform them into consistency single-valued neutrosophic sets, allowing for better expression and operation of different lengths/cardinalities of neutrosophic multi-valued elements. Two correlation coefficients and a decision-making approach are established based on this transformation, and the effectiveness and rationality of the method are demonstrated through an illustrative example and comparison with existing methods.
INTERNATIONAL JOURNAL OF FUZZY SYSTEMS
(2022)
Article
Engineering, Multidisciplinary
Jun Ye, Shigui Du, Rui Yong
Summary: This study introduces the concept of an intuitionistic fuzzy credibility set (IFCS) to represent hybrid information of membership degree and credibility degree, as well as nonmembership degree and credibility degree. Generalized distance and similarity measures between IFCSs are proposed, and a multi-criteria decision-making method is developed using these similarity measures in an IFCS environment. The efficiency and applicability of the developed method are demonstrated through a case study evaluating industrial robot performance and comparative analysis.
MATHEMATICAL PROBLEMS IN ENGINEERING
(2021)
Article
Mathematics
Angyan Tu, Jun Ye, Bing Wang
Summary: This paper presents two methods to solve NNOMs, applied to linear and nonlinear programming problems to obtain optimal solutions in practical productions. The NNOP methods can achieve suitable solutions under indeterminate environments and fulfill specific requirements.
JOURNAL OF MATHEMATICS
(2021)
Article
Engineering, Civil
Shigui Du, Jun Ye, Rui Yong, Fangwei Zhang
Summary: This study proposes a simplified neutrosophic indeterminate set (SNIS) to describe the uncertainty degrees of truth, falsity, and indeterminacy, and introduces q-indeterminate correlation coefficients of SNISs for multicriteria decision-making. Decision makers' risk attitudes, such as small risk for q = 0, moderate risk for q = 0.5, and large risk for q = 1, are taken into consideration, demonstrating practicality and flexibility in the SNIS setting.
JOURNAL OF CIVIL ENGINEERING AND MANAGEMENT
(2021)
Article
Engineering, Multidisciplinary
Rui Yong, Shaonan Tan, Jun Ye, Shigui Du
Summary: A new method for recording large-sized joint profiles and analyzing JRC values has been proposed. Results show that the JRC value is related to the size of the sample, with smaller samples being more sensitive.
MATHEMATICAL PROBLEMS IN ENGINEERING
(2021)
Article
Engineering, Multidisciplinary
Ezgi Turkarslan, Jun Ye, Mehmet Unver, Murat Olgun
Summary: The study aims to establish a new fuzzy set concept, Consistency Fuzzy Set (CFS), to express multidimensional uncertain data successfully. The introduction of CFS provides a more understandable and compact representation of truth sequence data.
MATHEMATICAL PROBLEMS IN ENGINEERING
(2021)
Article
Computer Science, Artificial Intelligence
Jun Ye
Summary: Zadeh introduced Z-numbers with fuzzy value and reliability measure, but lacked indeterminacy and falsity fuzzy values and reliability measures. Neutrosophic Z-number (NZN) was proposed to express inconsistent, incomplete and indeterminate knowledge and judgments. Generalized distance and similarity measures were introduced for NZN sets, enhancing the reliability and superiority in decision making.
Article
Mathematics, Applied
Jun Ye, Jiamin Song, Shigui Du, Rui Yong
Summary: This study introduces a new fuzzy decision-making method by proposing the concept of fuzzy credibility number (FCN) to enhance the credibility levels of fuzzy assessment values, making the assessment information more abundant and credible. By establishing a multi-attribute decision-making (MADM) approach using FCNs, it is applied to a decision-making example on selecting a suitable slope design scheme, reflecting the usability and effectiveness of the method.
COMPUTATIONAL & APPLIED MATHEMATICS
(2021)
Article
Computer Science, Artificial Intelligence
Jun Ye, Shigui Du, Rui Yong
Summary: The study introduces a new approach with single- and interval-valued hybrid neutrosophic multi-valued sets (SIVHNMVS) and a related multi-attribute group decision-making (MAGDM) method, contributing to a novel way to address group decision-making problems.
COMPLEX & INTELLIGENT SYSTEMS
(2021)
Article
Automation & Control Systems
Jun Ye, Shigui Du, Rui Yong
Summary: This study introduces an orthopair indeterminate set, weighted arithmetic averaging, and weighted geometric averaging operators to simplify and generalize existing expression and aggregation forms for intuitionistic fuzzy sets and interval-valued fuzzy sets. A multiattribute decision making approach is developed based on these operators, applied to a manufacturing scheme example.
JOURNAL OF CONTROL AND DECISION
(2022)
Article
Computer Science, Artificial Intelligence
Jun Ye, Ezgi Turkarslan, Mehmet Unver, Murat Olgun
Summary: This study introduces algebraic operators among neutrosophic enthalpy values and provides aggregation operators based on general t-norms and t-conorms in the fuzzy environment. Neutrosophic enthalpy set includes both the average level and uncertainty degree of data through enthalpy. The proposed multi-criteria decision making method using these aggregation operators shows efficiency and sensitivity in comparison analysis with existing methods.
GRANULAR COMPUTING
(2022)
Article
Engineering, Multidisciplinary
Changshuo Wang, Liangqing Wang, Shigui Du, Jun Ye, Rui Yong
Summary: The paper proposed a method to investigate the indeterminate information of rock joint roughness and presented a way to capture incomplete, uncertain, and imprecise information of the JRC in uncertain environments. The study demonstrated the drawbacks of traditional JRC regression correlations in handling indeterminate information and showed the advantage of using spectral analysis in processing the uncertainties in rock joint roughness determination.
CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES
(2021)
Article
Engineering, Multidisciplinary
Cheng Du, Jun Ye
Summary: This article introduces how to use neutrosophic (indeterminate) numbers and fuzzy multisets to handle data noise, uncertainty, and imprecision issues in real-life, proposing an indeterminate fuzzy multiset and a decision-making method based on parameterized correlation coefficients to address group decision-making problems.
CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES
(2021)
Article
Engineering, Multidisciplinary
Mailing Zhao, Jun Ye
Summary: This study proposes a new method of similarity measure to supplement the gap between ONNSs, demonstrating flexibility and practicality in indeterminate multiple attribute DM problems.
CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES
(2021)
Article
Business
Jun Ye
Summary: This study introduces trigonometric functions-based entropy measures for simplified neutrosophic sets and develops a decision-making method for ranking in such sets. Comparative analysis with existing approaches is conducted through numerical examples to demonstrate effectiveness, and real-world examples are provided to showcase practicality. The research not only enriches simplified neutrosophic entropy measures but also enhances existing decision-making approaches.
JOURNAL OF MANAGEMENT ANALYTICS
(2021)
