New Research on Neutrosophic Algebraic Structures - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook New Research on Neutrosophic Algebraic Structures write by Mumtaz Ali. This book was released on 2014. New Research on Neutrosophic Algebraic Structures available in PDF, EPUB and Kindle. In this book, we define several new neutrosophic algebraic structures and their related properties. The main focus of this book is to study the important class of neutrosophic rings such as neutrosophic LA-semigroup ring, neutrosophic loop ring, neutrosophic groupoid ring and so on. We also construct their generalization in each case to study these neutrosophic algebraic structures in a broader sense. The indeterminacy element āIā gives rise to a bigger algebraic structure than the classical algebraic structures. It mainly classifies the algebraic structures in three categories such as: neutrosophic algebraic structures, strong neutrosophic algebraic structures, and classical algebraic structures respectively. This reveals the fact that a classic algebraic structure is a part of the neutrosophic algebraic structures. This opens a new way for the researcher to think in a broader way to visualize these vast neutrosophic algebraic structures.
The algebraic structure on the neutrosophic triplet set
The algebraic structure on the neutrosophic triplet set - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook The algebraic structure on the neutrosophic triplet set write by S. Suryoto. This book was released on . The algebraic structure on the neutrosophic triplet set available in PDF, EPUB and Kindle. The notion of the neutrosophic triplet was introduced by Smarandache and Ali. This notion is based on the fundamental law of neutrosophy that for an idea X, we have neutral of X denoted as neut(X) and anti of X denoted as anti(X). This paper studied a neutrosophic triplet set which is a collection of all triple of three elements that satisfy certain properties with some binary operation. Also given some interesting properties related to them. Further, in this paper investigated that from the neutrosophic triplet group can construct a classical group under multiplicative operation for ā¤š , for some specific n. These neutrosophic triplet groups are built using only modulo integer 2p, with p is an odd prime or Cayley table.
Study on the Algebraic Structure of Refined Neutrosophic Numbers
Study on the Algebraic Structure of Refined Neutrosophic Numbers - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Study on the Algebraic Structure of Refined Neutrosophic Numbers write by Qiaoyan Li . This book was released on . Study on the Algebraic Structure of Refined Neutrosophic Numbers available in PDF, EPUB and Kindle. This paper aims to explore the algebra structure of refined neutrosophic numbers. Firstly, the algebra structure of neutrosophic quadruple numbers on a general field is studied. Secondly, The addition operator and multiplication operator on refined neutrosophic numbers are proposed and the algebra structure is discussed. We reveal that the set of neutrosophic refined numbers with an additive operation is an abelian group and the set of neutrosophic refined numbers with a multiplication operation is a neutrosophic extended triplet group. Moreover, algorithms for solving the neutral element and opposite elements of each refined neutrosophic number are given.
New Development of Neutrosophic Probability, Neutrosophic Statistics, Neutrosophic Algebraic Structures, and Neutrosophic Plithogenic Optimizations
New Development of Neutrosophic Probability, Neutrosophic Statistics, Neutrosophic Algebraic Structures, and Neutrosophic Plithogenic Optimizations - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook New Development of Neutrosophic Probability, Neutrosophic Statistics, Neutrosophic Algebraic Structures, and Neutrosophic Plithogenic Optimizations write by Florentin Smarandache. This book was released on 2022-09-01. New Development of Neutrosophic Probability, Neutrosophic Statistics, Neutrosophic Algebraic Structures, and Neutrosophic Plithogenic Optimizations available in PDF, EPUB and Kindle. This volume presents state-of-the-art papers on new topics related to neutrosophic theories, such as neutrosophic algebraic structures, neutrosophic triplet algebraic structures, neutrosophic extended triplet algebraic structures, neutrosophic algebraic hyperstructures, neutrosophic triplet algebraic hyperstructures, neutrosophic n-ary algebraic structures, neutrosophic n-ary algebraic hyperstructures, refined neutrosophic algebraic structures, refined neutrosophic algebraic hyperstructures, quadruple neutrosophic algebraic structures, refined quadruple neutrosophic algebraic structures, neutrosophic image processing, neutrosophic image classification, neutrosophic computer vision, neutrosophic machine learning, neutrosophic artificial intelligence, neutrosophic data analytics, neutrosophic deep learning, and neutrosophic symmetry, as well as their applications in the real world.
Algebraic Structures of Neutrosophic Triplets, Neutrosophic Duplets, or Neutrosophic Multisets
Algebraic Structures of Neutrosophic Triplets, Neutrosophic Duplets, or Neutrosophic Multisets - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Algebraic Structures of Neutrosophic Triplets, Neutrosophic Duplets, or Neutrosophic Multisets write by Florentin Smarandache. This book was released on 2019-04-04. Algebraic Structures of Neutrosophic Triplets, Neutrosophic Duplets, or Neutrosophic Multisets available in PDF, EPUB and Kindle. Neutrosophy (1995) is a new branch of philosophy that studies triads of the form (,