Distance measures between interval complex neutrosophic sets and their applications in multi-criteria group decision making
Title | Distance measures between interval complex neutrosophic sets and their applications in multi-criteria group decision making PDF eBook |
Author | Dongsheng Xu |
Publisher | Infinite Study |
Pages | 16 |
Release | |
Genre | Mathematics |
ISBN |
As an extension of neutrosophic set, interval complex neutrosophic set is a new research topic in the field of neutrosophic set theory, which can handle the uncertain, inconsistent and incomplete information in periodic data. Distance measure is an important tool to solve some problems in engineering and science. Hence, this paper presents some interval complex neutrosophic distance measures to deal with multi-criteria group decision-making problems.
Linguistic Approaches to Interval Complex Neutrosophic Sets in Decision Making
Title | Linguistic Approaches to Interval Complex Neutrosophic Sets in Decision Making PDF eBook |
Author | LUU QUOC DAT |
Publisher | Infinite Study |
Pages | 16 |
Release | |
Genre | Mathematics |
ISBN |
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 implementation than those of their previous counterparts. Some set-theoretic operations and the operational rules of SVLCNS-2 and ILCNS-2 are designed. Then, gather classications of the candidate versus criteria, gather the signicance weights, gather the weighted rankings of candidates versus criteria and a score function to arrange the candidates are determined. New TOPSIS decision-making procedures in SVLCNS-2 and ICNS-2 are presented and applied to lecturer selection in the case study of the University of Economics and Business, Vietnam National University. The applications demonstrate the usefulness and efciency of the proposal.
Neutrosophic Sets and Systems, vol. 51/2022
Title | Neutrosophic Sets and Systems, vol. 51/2022 PDF eBook |
Author | Florentin Smarandache |
Publisher | Infinite Study |
Pages | 970 |
Release | 2022-09-01 |
Genre | Mathematics |
ISBN |
“Neutrosophic Sets and Systems” has been created for publications on advanced studies in neutrosophy, neutrosophic set, neutrosophic logic, neutrosophic probability, neutrosophic statistics that started in 1995 and their applications in any field, such as the neutrosophic structures developed in algebra, geometry, topology, etc. Neutrosophy is a new branch of philosophy that studies the origin, nature, and scope of neutralities, as well as their interactions with different ideational spectra. This theory considers every notion or idea together with its opposite or negation
Neutrosophic Sets and Systems, Vol. 40, 2021
Title | Neutrosophic Sets and Systems, Vol. 40, 2021 PDF eBook |
Author | Florentin Smarandache |
Publisher | Infinite Study |
Pages | 279 |
Release | |
Genre | Mathematics |
ISBN |
“Neutrosophic Sets and Systems” has been created for publications on advanced studies in neutrosophy, neutrosophic set, neutrosophic logic, neutrosophic probability, neutrosophic statistics that started in 1995 and their applications in any field, such as the neutrosophic structures developed in algebra, geometry, topology, etc.
New Similarity and Entropy Measures of Interval Neutrosophic Sets with Applications in Multi-Attribute Decision-Making
Title | New Similarity and Entropy Measures of Interval Neutrosophic Sets with Applications in Multi-Attribute Decision-Making PDF eBook |
Author | Han Yang |
Publisher | Infinite Study |
Pages | 10 |
Release | |
Genre | Mathematics |
ISBN |
Information measures play an important role in the interval neutrosophic sets (INS) theory. The main purpose of this paper is to study the similarity and entropy of INS and its application in multi-attribute decision-making. We propose a new inclusion relation between interval neutrosophic sets where the importance of the three membership functions may be different. Then, we propose the axiomatic definitions of the similarity measure and entropy of the interval neutrosophic set (INS) based on the new inclusion relation. Based on the Hamming distance, cosine function and cotangent function, some new similarity measures and entropies of INS are constructed. Finally, based on the new similarity and entropy, we propose a multi-attribute decision-making method and illustrate that these new similarities and entropies are reasonable and effective.
Fuzzy Multi-criteria Decision-Making Using Neutrosophic Sets
Title | Fuzzy Multi-criteria Decision-Making Using Neutrosophic Sets PDF eBook |
Author | Cengiz Kahraman |
Publisher | Springer |
Pages | 734 |
Release | 2018-11-03 |
Genre | Technology & Engineering |
ISBN | 3030000451 |
This book offers a comprehensive guide to the use of neutrosophic sets in multiple criteria decision making problems. It shows how neutrosophic sets, which have been developed as an extension of fuzzy and paraconsistent logic, can help in dealing with certain types of uncertainty that classical methods could not cope with. The chapters, written by well-known researchers, report on cutting-edge methodologies they have been developing and testing on a variety of engineering problems. The book is unique in its kind as it reports for the first time and in a comprehensive manner on the joint use of neutrosophic sets together with existing decision making methods to solve multi-criteria decision-making problems, as well as other engineering problems that are complex, hard to model and/or include incomplete and vague data. By providing new ideas, suggestions and directions for the solution of complex problems in engineering and decision making, it represents an excellent guide for researchers, lecturers and postgraduate students pursuing research on neutrosophic decision making, and more in general in the area of industrial and management engineering.
Simplified Neutrosophic Sets Based on Interval Dependent Degree for Multi-Criteria Group Decision-Making Problems
Title | Simplified Neutrosophic Sets Based on Interval Dependent Degree for Multi-Criteria Group Decision-Making Problems PDF eBook |
Author | Xu Libo |
Publisher | Infinite Study |
Pages | 15 |
Release | |
Genre | Mathematics |
ISBN |
In this paper, a new approach and framework based on the interval dependent degree for multi-criteria group decision-making (MCGDM) problems with simplified neutrosophic sets (SNSs) is proposed. Firstly, the simplified dependent function and distribution function are defined. Then, they are integrated into the interval dependent function which contains interval computing and distribution information of the intervals. Subsequently, the interval transformation operator is defined to convert simplified neutrosophic numbers (SNNs) into intervals, and then the interval dependent function for SNNs is deduced. Finally, an example is provided to verify the feasibility and effectiveness of the proposed method, together with its comparative analysis. In addition, uncertainty analysis, which can reflect the dynamic change of the final result caused by changes in the decision makers’ preferences, is performed in different distribution function situations. That increases the reliability and accuracy of the result.