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Some Properties Of Neutrosophic Integers
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Book Synopsis Some Properties of Neutrosophic Integers by : Yılmaz Çeven
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.
Book Synopsis SOME PROPERTIES OF NEUTROSOPHIC INTEGERS by : Yılmaz ÇEVEN
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.
Book Synopsis Some properties of Pentagonal Neutrosophic Numbers and its Applications in Transportation Problem Environment by : Avishek Chakraborty
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.
Book Synopsis Neutrosophic Sets and Systems, Vol. 41, 2021 by : Florentin Smarandache
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.
Book Synopsis Neutrosophic Linear Diophantine Equations With Two Variables by : Hasan Sankari
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.
Book Synopsis Neutrosophic Sets and Systems, Vol. 39, 2021 by : Florentin Smarandache
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.
Book Synopsis Generalized Single Valued Triangular Neutrosophic Numbers and Aggregation Operators for Application to Multi-attribute Group Decision Making by : Mehmet Şahin
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.
Book Synopsis Gaussian single-valued neutrosophic numbers and its application in multi-attribute decision making by : Faruk KARAASLAN
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.
Book Synopsis Neutrosophic Operational Research by : Florentin Smarandache
Download or read book Neutrosophic Operational Research written by Florentin Smarandache and published by Springer Nature. This book was released on 2021-09-09 with total page 628 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book addresses new concepts, methods, algorithms, modeling, and applications of green supply chain, inventory control problems, assignment problems, transportation problem, linear problems and new information related to optimization for the topic from the theoretical and applied viewpoints of neutrosophic sets and logic. The book is an innovatory of new tools and procedures, such as: Neutrosophic Statistical Tests and Dependent State Samplings, Neutrosophic Probabilistic Expert Systems, Neutrosophic HyperSoft Set, Quadripartitioned Neutrosophic Cross-Entropy, Octagonal and Spherical and Cubic Neutrosophic Numbers used in machine learning. It highlights the process of neutrosofication {which means to split the universe into three parts, two opposite ones (Truth and Falsehood), and an Indeterminate or neutral one (I) in between them}. It explains Three-Ways Decision, how the universe set is split into three different distinct areas, in regard to the decision process, representing: Acceptance, Noncommitment, and Rejection, respectively. The Three-Way Decision is used in the Neutrosophic Linguistic Rough Set, which has never been done before.
Book Synopsis New Trends in Neutrosophic Theory and Applications, Volume II by : Florentin Smarandache
Download or read book New Trends in Neutrosophic Theory and Applications, Volume II written by Florentin Smarandache and published by Infinite Study. This book was released on with total page 471 pages. Available in PDF, EPUB and Kindle. Book excerpt: Neutrosophic theory and applications have been expanding in all directions at an astonishing rate especially after the introduction the journal entitled “Neutrosophic Sets and Systems”. New theories, techniques, algorithms have been rapidly developed. One of the most striking trends in the neutrosophic theory is the hybridization of neutrosophic set with other potential sets such as rough set, bipolar set, soft set, hesitant fuzzy set, etc.
Book Synopsis Bonferroni Mean Operators of Linguistic Neutrosophic Numbers and Their Multiple Attribute Group Decision-Making Methods by : Changxing Fan
Download or read book Bonferroni Mean Operators of Linguistic Neutrosophic Numbers and Their Multiple Attribute Group Decision-Making Methods written by Changxing Fan and published by Infinite Study. This book was released on with total page 11 pages. Available in PDF, EPUB and Kindle. Book excerpt: Linguistic neutrosophic numbers (LNN) is presented by Fang and Ye in 2017, which can describe the truth, falsity, and indeterminacy linguistic information independently. In this paper, the LNN and the Bonferroni mean operator are merged together to propose a LNN normalized weighted Bonferroni mean (LNNNWBM) operator and a LNN normalized weighted geometric Bonferroni mean (LNNNWGBM) operator and the properties of these two operators are proved.
Book Synopsis Operators on Single Valued Trapezoidal Neutrosophic Numbers and SVTN-Group Decision Making by : Irfan Deli
Download or read book Operators on Single Valued Trapezoidal Neutrosophic Numbers and SVTN-Group Decision Making written by Irfan Deli and published by Infinite Study. This book was released on with total page 20 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper, we first introduce single valued trapezoidal neutrosophic (SVTN) numbers with their properties. We then define some operations and distances of the SVTN-numbers. Based on these new operations, we also define some aggregation operators, including SVTN-ordered weighted geometric operator, SVTN-hybrid geometric operator, SVTN-ordered weighted arithmetic operator and SVTN-hybrid arithmetic operator. We then examine the properties of these SVTN-information aggregation operators. By using the SVTN-weighted geometric operator and SVTN-hybrid geometric operator, we also define a multi attribute group decision making method, called SVTN-group decision making method. We finally give an illustrative example and comparative analysis to verify the developed method and to demonstrate its practicality and effectiveness.
Book Synopsis Octagonal Neutrosophic Number: Its Different Representations, Properties, Graphs and De-neutrosophication with the application of Personnel Selection by : Muhammad Saqlain
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.
Book Synopsis Pentapartitioned neutrosophic set and its properties by : Rama Mallick
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.
Book Synopsis Convex and Concave Hypersoft Sets with Some Properties by : Atiqe Ur Rahman
Download or read book Convex and Concave Hypersoft Sets with Some Properties written by Atiqe Ur Rahman and published by Infinite Study. This book was released on 2020-12-01 with total page 12 pages. Available in PDF, EPUB and Kindle. Book excerpt: Convexity plays an imperative role in optimization, pattern classiffication and recognition, image processing and many other relating topics in different fields of mathematical sciences like operation research, numerical analysis etc. The concept of soft sets was first formulated by Molodtsov as a completely new mathematical tool for solving problems dealing with uncertainties. Smarandache conceptualized hypersoft set as a generalization of soft set. Deli introduced the concept of convexity cum concavity on soft sets to cover above topics under uncertain scenario. In this study, a theoretic and analytical approach is employed to develop a conceptual framework of convexity concavity on hypersoft set which is generalized and more effective concept to deal with optimization relating problems.
Book Synopsis n-Refined Neutrosophic Groups I by : Mohammad Abobala
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.
Book Synopsis Some Properties of Q-Neutrosophic Ideals of Semirings by : Debabrata Mandal
Download or read book Some Properties of Q-Neutrosophic Ideals of Semirings written by Debabrata Mandal and published by Infinite Study. This book was released on 2020-10-01 with total page 10 pages. Available in PDF, EPUB and Kindle. Book excerpt: The intention of this paper is to introduce and study some properties of the ideals of semirings using the concept of Q-neutrosophic set.
