Download or read book SOME PROPERTIES OF NEUTROSOPHIC INTEGERS written by Yılmaz ÇEVEN and published by Infinite Study. This book was released on with total page 11 pages. Available in PDF, EPUB and Kindle. Book excerpt: We defined some new concepts and investigated some basic properties about neutrosophic rationals in this study. We give some divisibility properties, neutrosophic prime numbers, factorization in neutrosophic integers. As a result of investigation, we see that Division Algorithm is valid for neutrosophic integers. We define the norm of a neutrosophic integer and give some properties and relations.
Download or read book Some Properties of Neutrosophic Integers written by Yılmaz Çeven and published by Infinite Study. This book was released on with total page 10 pages. Available in PDF, EPUB and Kindle. Book excerpt: We defined some new concepts and investigated some basic properties about neutrosophic rationals in this study. We give some divisibility properties, neutrosophic prime numbers, factorization in neutrosophic integers. As a result of investigation, we see that Division Algorithm is valid for neutrosophic integers. We define the norm of a neutrosophic integer and give some properties and relations.
Download or read book Some properties of Pentagonal Neutrosophic Numbers and its Applications in Transportation Problem Environment written by Avishek Chakraborty and published by Infinite Study. This book was released on with total page 16 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this research article we actually deals with the conception of pentagonal Neutrosophic number from a different frame of reference. Recently, neutrosophic set theory and its extensive properties have given different dimensions for researchers. This paper focuses on pentagonal neutrosophic numbers and its distinct properties. At the same time, we defined the disjunctive cases of this number whenever the truthiness, falsity and hesitation portion are dependent and independent to each other. Some basic properties of pentagonal neutrosophic numbers with its logical score and accuracy function is introduced in this paper with its application in real life operation research problem which is more reliable than the other methods.
Download or read book Neutrosophic Linear Diophantine Equations With Two Variables written by Hasan Sankari and published by Infinite Study. This book was released on 2020-12-01 with total page 10 pages. Available in PDF, EPUB and Kindle. Book excerpt: This paper is devoted to study for the first time the neutrosophic linear Diophantine equations with two variables in the neutrosophic ring of integers, and refined neutrosophic ring of integers. This work introduces an algorithm to solve the linear Diophantine equation.
Download or read book Neutrosophic Sets and Systems Vol 41 2021 written by Florentin Smarandache and published by Infinite Study. This book was released on with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt: “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.
Download or read book Pentapartitioned neutrosophic set and its properties written by Rama Mallick and published by Infinite Study. This book was released on 2020-10-01 with total page 9 pages. Available in PDF, EPUB and Kindle. Book excerpt: The main objective of this paper is to propose a new type of set which we call pentapartitioned neutrosophic set. We also prove some of its basic properties.
Download or read book n Refined Neutrosophic Groups I written by Mohammad Abobala and published by Infinite Study. This book was released on with total page 8 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this paper is to define for the first time the concept of n-refined neutrosophic group. This work is devoted to study some elementary properties of n-refined neutrosophic groups and to establish the algebraic basis of this structure such as n-refined neutrosophic subgroups, n-refined neutrosophic homomorphisms, and n-refined neutrosophic isomorphisms.
Download or read book Neutrosophic Rings written by W. B. Vasantha Kandasamy and published by Infinite Study. This book was released on 2006-01-01 with total page 154 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Neutrosophic Sets and Systems Vol 39 2021 written by Florentin Smarandache and published by Infinite Study. This book was released on with total page 173 pages. Available in PDF, EPUB and Kindle. Book excerpt: “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.
Download or read book On Some Properties of Plithogenic Neutrosophic Hypersoft Almost Topological Group written by Bhimraj Basumatary and published by Infinite Study. This book was released on 2021-06-02 with total page 11 pages. Available in PDF, EPUB and Kindle. Book excerpt: The main objective of this study is to introduce the notion of plithogenic neutrosophic hypersoft almost topological group. We have defined some new concepts and investigated properties of regularly open set and regularly closed set and then we observed the definitions of plithogenic neutrosophic hypersoft closed mapping, open mapping and finally we have defined the definition of plithogenic neutrosophic hypersoft almost continuous mapping. By observing the definition of plithogenic neutrosophic hypersoft almost continuous mapping we have studied neutrosophic hypersoft topological group and plithogenic neutrosophic hypersoft almost topological group and some of their properties.
Download or read book Semi Idempotents in Neutrosophic Rings written by Vasantha Kandasamy W.B. and published by Infinite Study. This book was released on with total page 7 pages. Available in PDF, EPUB and Kindle. Book excerpt: In complex rings or complex fields, the notion of imaginary element i with i2 = -1 or the complex number i is included, while, in the neutrosophic rings, the indeterminate element I where I2 = I is included. The neutrosophic ring hR [ Ii is also a ring generated by R and I under the operations of R. In this paper we obtain a characterization theorem for a semi-idempotent to be in hZp [ Ii, the neutrosophic ring of modulo integers, where p a prime. Here, we discuss only about neutrosophic semi-idempotents in these neutrosophic rings. Several interesting properties about them are also derived and some open problems are suggested.
Download or read book Octagonal Neutrosophic Number Its Different Representations Properties Graphs and De neutrosophication with the application of Personnel Selection written by Muhammad Saqlain and published by Infinite Study. This book was released on with total page 15 pages. Available in PDF, EPUB and Kindle. Book excerpt: To deal with fluctations in decision-making, fuzzy / neutrosophic numbers are used. The problem having more fluctuations are difficult to sovle. Thus it is a dire need to define higher order number, also It is a very curious question by researchers all around the world that how octagonal neutrosophic number can be represented and how to be graphed? In this research article, the primarily focused on the representation and graphs of octagonal neutrosophic number. at last, a case study is done using VIKOR method based on octagonal neutrosophic number. These representations will be helpful in multi-criteria decision making problems in the case that there are large number of fluctuations. Finally, concluded the present work with future directions.
Download or read book Gaussian single valued neutrosophic numbers and its application in multi attribute decision making written by Faruk KARAASLAN and published by Infinite Study. This book was released on with total page 17 pages. Available in PDF, EPUB and Kindle. Book excerpt: The fuzzy set and intuitionistic fuzzy set are two useful mathematical tool for dealing with impression and uncertainty. However sometimes these theories may not suffice to model indeterminate and inconsistent information encountered in real world.
Download or read book Generalized Single Valued Triangular Neutrosophic Numbers and Aggregation Operators for Application to Multi attribute Group Decision Making written by Mehmet Şahin and published by Infinite Study. This book was released on with total page 34 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this study we define the generalizing single valued triangular neutrosophic number. In addition, single valued neutrosophic numbers are transformed into single valued triangular neutrosophic numbers according to the values of truth, indeterminacy and falsity. Furthermore, we extended the Hamming distance given for triangular intuitionistic fuzzy numbers to single valued triangular neutrosophic numbers. We have defined new score functions based on the Hamming distance.
Download or read book Some Linguistic Neutrosophic Cubic Mean Operators and Entropy with Applications in a Corporation to Choose an Area Supervisor written by Muhammad Gulistan and published by Infinite Study. This book was released on with total page 30 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 neutrosophic cubic numbers. We also define the linguistic neutrosophic cubic Hamy mean operator and weighted linguistic neutrosophic cubic Hamy mean (WLNCHM) operator with some properties, which can handle multi-input agents with respect to the different time frame. Finally, as an application, we give a numerical example in order to test the applicability of our proposed model.
Download or read book On Some Algebraic Properties of n Refined Neutrosophic Elements and n Refined Neutrosophic Linear Equations written by Mohammad Abobala and published by Infinite Study. This book was released on with total page 7 pages. Available in PDF, EPUB and Kindle. Book excerpt: This paper studies the problem of determining invertible elements (units) in any n-refined neutrosophic ring. It presents the necessary and sufficient condition for any n-refined neutrosophic element to be invertible, idempotent, and nilpotent. Also, this work introduces some of the elementary algebraic properties of n-refined neutrosophic matrices with a direct application in solving n-refined neutrosophic algebraic equations.
Download or read book Some Operations and Properties of Neutrosophic Cubic Soft Set written by Surapati Pramanik and published by Infinite Study. This book was released on with total page 8 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper we define some operations such as P-union, P-intersection, R-union, R-intersection for neutrosophic cubic soft sets (NCSSs). We prove some theorems on neutrosophic cubic soft sets. We also discuss various approaches of Internal Neutrosophic Cubic Soft Sets (INCSSs) and external neutrosophic cubic soft sets (ENCSSs). We also investigate some of their properties.
