On Clean and Nil-clean Symbolic 2-Plithogenic Rings

On Clean and Nil-clean Symbolic 2-Plithogenic Rings
Title On Clean and Nil-clean Symbolic 2-Plithogenic Rings PDF eBook
Author P. Prabakaran
Publisher Infinite Study
Pages 10
Release 2023-01-01
Genre Mathematics
ISBN

Download On Clean and Nil-clean Symbolic 2-Plithogenic Rings Book in PDF, Epub and Kindle

A ring is said to be clean if every element of the ring can be written as a sum of an idempotent element and a unit element of the ring and a ring is said to be nil-clean if every element of the ring can be written as a sum of an idempotent element and a nilpotent element of the ring. In this paper, we generalize these arguments to symbolic 2-plithogenic structure. We introduce the structure of clean and nil-clean symbolic 2-plithogenic rings and some of its elementary properties are presented. Also, we have found the equivalence between classical clean(nil-clean) ring R and the corresponding symbolic 2-plithogenic ring 2-SPR.

Neutrosophy

Neutrosophy
Title Neutrosophy PDF eBook
Author Florentin Smarandache
Publisher
Pages 110
Release 1998
Genre Mathematics
ISBN

Download Neutrosophy Book in PDF, Epub and Kindle

Neutrosophic Rings

Neutrosophic Rings
Title Neutrosophic Rings PDF eBook
Author W. B. Vasantha Kandasamy
Publisher Infinite Study
Pages 154
Release 2006-01-01
Genre Mathematics
ISBN 1931233209

Download Neutrosophic Rings Book in PDF, Epub and Kindle

Research on algebraic structure of group rings is one of the leading, most sought-after topics in ring theory. The new class of neutrosophic rings defined in this book form a generalization of group rings and semigroup rings.The study of the classes of neutrosophic group neutrosophic rings and S-neutrosophic semigroup neutrosophic rings which form a type of generalization of group rings will throw light on group rings and semigroup rings which are essential substructures of them. A salient feature of this group is the many suggested problems on the new classes of neutrosophic rings, solutions of which will certainly develop some of the still open problems in group rings.Further, neutrosophic matrix rings find applications in neutrosophic models like Neutrosophic Cognitive Maps (NCM), Neutrosophic Relational Maps (NRM), Neutrosophic Bidirectional Memories (NBM) and so on.

Neutrosophic Set - A Generalization of The Intuitionistic Fuzzy Set

Neutrosophic Set - A Generalization of The Intuitionistic Fuzzy Set
Title Neutrosophic Set - A Generalization of The Intuitionistic Fuzzy Set PDF eBook
Author Florentin Smarandache
Publisher Infinite Study
Pages 10
Release 2010-08-23
Genre Mathematics
ISBN

Download Neutrosophic Set - A Generalization of The Intuitionistic Fuzzy Set Book in PDF, Epub and Kindle

In this paper one generalizes the intuitionistic fuzzy set (IFS), paraconsistent set, and intuitionistic set to the neutrosophic set (NS). Many examples are presented. Distinctions between NS and IFS are underlined.

Interval Neutrosophic Sets and Their Application in Multicriteria Decision Making Problems

Interval Neutrosophic Sets and Their Application in Multicriteria Decision Making Problems
Title Interval Neutrosophic Sets and Their Application in Multicriteria Decision Making Problems PDF eBook
Author Hong-yu Zhang
Publisher Infinite Study
Pages 15
Release
Genre Mathematics
ISBN

Download Interval Neutrosophic Sets and Their Application in Multicriteria Decision Making Problems Book in PDF, Epub and Kindle

As a generalization of fuzzy sets and intuitionistic fuzzy sets, neutrosophic sets have been developed to represent uncertain, imprecise, incomplete, and inconsistent information existing in the real world. And interval neutrosophic sets (INSs) have been proposed exactly to address issues with a set of numbers in the real unit interval, not just a specific number.However, there are fewer reliable operations for INSs, as well as the INS aggregation operators and decisionmakingmethod. For this purpose, the operations for INSs are defined and a comparison approach is put forward based on the related research of interval valued intuitionistic fuzzy sets (IVIFSs) in this paper. On the basis of the operations and comparison approach, two interval neutrosophic number aggregation operators are developed. Then, amethod formulticriteria decisionmaking problems is explored applying the aggregation operators. In addition, an example is provided to illustrate the application of the proposed method.

Neutrosophic Graphs: A New Dimension to Graph Theory

Neutrosophic Graphs: A New Dimension to Graph Theory
Title Neutrosophic Graphs: A New Dimension to Graph Theory PDF eBook
Author Vasantha Kandasamy
Publisher Infinite Study
Pages 127
Release 2015
Genre Graph theory
ISBN 1599733625

Download Neutrosophic Graphs: A New Dimension to Graph Theory Book in PDF, Epub and Kindle

Studies to neutrosophic graphs happens to be not only innovative and interesting, but gives a new dimension to graph theory. The classic coloring of edge problem happens to give various results. Neutrosophic tree will certainly find lots of applications in data mining when certain levels of indeterminacy is involved in the problem. Several open problems are suggested.

Neutrosophic Set in Medical Image Analysis

Neutrosophic Set in Medical Image Analysis
Title Neutrosophic Set in Medical Image Analysis PDF eBook
Author Yanhui Guo
Publisher Academic Press
Pages 372
Release 2019-08-08
Genre Computers
ISBN 0128181494

Download Neutrosophic Set in Medical Image Analysis Book in PDF, Epub and Kindle

Neutrosophic Set in Medical Image Analysis gives an understanding of the concepts of NS, along with knowledge on how to gather, interpret, analyze and handle medical images using NS methods. It presents the latest cutting-edge research that gives insight into neutrosophic set's novel techniques, strategies and challenges, showing how it can be used in biomedical diagnoses systems. The neutrosophic set (NS), which is a generalization of fuzzy set, offers the prospect of overcoming the restrictions of fuzzy-based approaches to medical image analysis. - Introduces the mathematical model and concepts of neutrosophic theory and methods - Highlights the different techniques of neutrosophic theory, focusing on applying the neutrosophic set in image analysis to support computer- aided diagnosis (CAD) systems, including approaches from soft computing and machine learning - Shows how NS techniques can be applied to medical image denoising, segmentation and classification - Provides challenges and future directions in neutrosophic set based medical image analysis