Neutrosophic Soft Rough Topology and its Applications to Multi-Criteria Decision-Making
Title | Neutrosophic Soft Rough Topology and its Applications to Multi-Criteria Decision-Making PDF eBook |
Author | Muhammad Riaz |
Publisher | Infinite Study |
Pages | 22 |
Release | |
Genre | Mathematics |
ISBN |
In this manuscript, we introduce the notion of neutrosophic soft rough topology (NSR-topology) defined on neutrosophic soft rough set (NSR-set). We define certain properties of NSR- topology including NSR-interior, NSR-closure, NSR-exterior, NSR-neighborhood, NSR-limit point, and NSR-bases. Furthermore, we aim to develop some multi-criteria decision-making (MCDM) methods based on NSR-set and NSR-topology to deal with ambiguities in the real-world problems. For this purpose, we establish algorithm 1 for suitable brand selection and algorithm 2 to determinencore issues to control crime rate based on NSR-lower approximations, NSR-upper approximations, matrices, core, and NSR-topology.
Neutrosophic Multi-Criteria Decision Making
Title | Neutrosophic Multi-Criteria Decision Making PDF eBook |
Author | Florentin Smarandache |
Publisher | MDPI |
Pages | 207 |
Release | 2018-10-12 |
Genre | Mathematics |
ISBN | 3038972886 |
This book is a printed edition of the Special Issue "Neutrosophic Multi-Criteria Decision Making" that was published in Axioms
m-polar Neutrosophic Topology and its Application to Medical Diagnosis
Title | m-polar Neutrosophic Topology and its Application to Medical Diagnosis PDF eBook |
Author | Muhammad Riaz |
Publisher | Infinite Study |
Pages | 22 |
Release | |
Genre | Mathematics |
ISBN |
In the present study we aim to introduce novel concepts of m-polar neutrosophic set (MPNS) and m-polar neutrosophic topology. For this aim, we first investigate several characterizations of the notion of m-polar neutrosophic set and discuss its fundamental properties. We establish some operations on m-polar neutrosophic set. We propose score functions for the comparison of m-polar neutrosophic numbers (MPNNs). Then we introduce m-polar neutrosophic topology and define interior, closure, exterior and frontier for m-polar neutrosophic sets (MPNSs) with illustrative examples. We discuss some results which holds for classical set theory but do not hold for m-polar neutrosophic set theory. We introduce cosine similarity measure and set theoretic similarity measures for MPNSs. Furthermore, we present two algorithms for multi-criteria decision-making (MCDM) in medical diagnosis by using m-polar neutrosophic set (MPNS) and m-polar neutrosophic topology.
m-Polar Neutrosophic Topology with Applications to Multicriteria Decision-Making in Medical Diagnosis and Clustering Analysis
Title | m-Polar Neutrosophic Topology with Applications to Multicriteria Decision-Making in Medical Diagnosis and Clustering Analysis PDF eBook |
Author | Masooma Raza Hashmi |
Publisher | Infinite Study |
Pages | 20 |
Release | |
Genre | Mathematics |
ISBN |
In this paper, we first introduce novel concepts of m-polar neutrosophic set (MPNS) and topological structure on m-polar neutrosophic set by combining the mpolar fuzzy set (MPFS) and neutrosophic set.
Neutrosophic Soft Expert Multiset and Their Application to Multiple Criteria Decision Making
Title | Neutrosophic Soft Expert Multiset and Their Application to Multiple Criteria Decision Making PDF eBook |
Author | Derya Bakbak |
Publisher | Infinite Study |
Pages | 17 |
Release | |
Genre | Mathematics |
ISBN |
In this paper, we have investigated neutrosophic soft expert multisets (NSEMs) in detail. The concept of NSEMs is introduced. Several operations have been defined for them and their important algebraic properties are studied. Finally, we define a NSEMs aggregation operator to construct an algorithm for a NSEM decision-making method that allows for a more efficient decision-making process.
Neutrosophic Sets and Systems, Vol. 35, 2020
Title | Neutrosophic Sets and Systems, Vol. 35, 2020 PDF eBook |
Author | Florentin Smarandache |
Publisher | Infinite Study |
Pages | 596 |
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. Some articles in this issue: Neutrosophic Soft Fixed Points, Selection of Alternative under the Framework of Single-Valued Neutrosophic Sets, Application of Single Valued Trapezoidal Neutrosophic Numbers in Transportation Problem.
International Journal of Neutrosophic Science (IJNS) Volume 13, 2020
Title | International Journal of Neutrosophic Science (IJNS) Volume 13, 2020 PDF eBook |
Author | Broumi Said |
Publisher | Infinite Study |
Pages | 102 |
Release | |
Genre | Mathematics |
ISBN |
International Journal of Neutrosophic Science (IJNS) is a peer-review journal publishing high quality experimental and theoretical research in all areas of Neutrosophic and its Applications. Papers concern with neutrosophic logic and mathematical structures in the neutrosophic setting. Besides providing emphasis on topics like artificial intelligence, pattern recognition, image processing, robotics, decision making, data analysis, data mining, applications of neutrosophic mathematical theories contributions to economics, finance, management, industries, electronics, and communications are promoted.