NEUTROSOPHIC TRIPLET STRUCTURES, Volume I

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NEUTROSOPHIC TRIPLET STRUCTURES, Volume I - 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 NEUTROSOPHIC TRIPLET STRUCTURES, Volume I write by Memet Sahin. This book was released on . NEUTROSOPHIC TRIPLET STRUCTURES, Volume I available in PDF, EPUB and Kindle. A bipolar neutrosophic set (BNS) is an instance of a single- valued neutrosophic set. To do this, we firstly propose distance measure between two BNSs is defined by the full consideration of positive membership function and negative membership function for the forward and backward differences. Then the similarity measure, the entropy measure and the index of distance are also presented. Then, two examples are shown to verify the feasibility of the proposed method. Finally, the decision results of different similarity measures demonstrate the practicality and effectiveness of the developed method in this paper.

Neutrosophic Triplet Structures, Volume I

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Neutrosophic Triplet Structures, Volume I - 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 Neutrosophic Triplet Structures, Volume I write by Memet Şahin. This book was released on . Neutrosophic Triplet Structures, Volume I available in PDF, EPUB and Kindle. In this chapter, a different outperforming access for MCDM problems is recommended to approach positions pointing with in each cluster of numbers in the absolute system interval and unequitable a definitive number among a bipolar neutrosophic set. Mostly, the procedures of inter-valued bipolar neutrosophic sets and their associated characters are imported. Formerly certain outperforming similarities for inter-valued bipolar neutrosophic numbers (IVBNNs) are described depend on ELECTRE, and the characters of the outperforming similarities are farther considered definitely. Furthermore, depend on the outperforming similarities of IVBNSs, a ranking approach is advanced that one may clarify MCDM problems.

NEUTROSOPHIC TRIPLET STRUCTURES, Volume I

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NEUTROSOPHIC TRIPLET STRUCTURES, Volume I - 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 NEUTROSOPHIC TRIPLET STRUCTURES, Volume I write by Florentin Smarandache. This book was released on . NEUTROSOPHIC TRIPLET STRUCTURES, Volume I available in PDF, EPUB and Kindle. Neutrosophic theory and its applications have been expanding in all directions at an astonishing rate especially after of 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. The different hybrid structures such as rough neutrosophic set, single valued neutrosophic rough set, bipolar neutrosophic set, single valued neutrosophic hesitant fuzzy set, etc. are proposed in the literature in a short period of time. Neutrosophic set has been an important tool in the application of various areas such as data mining, decision making, e-learning, engineering, medicine, social science, and some more.

Algebraic Structures of Neutrosophic Triplets, Neutrosophic Duplets, or Neutrosophic Multisets, Volume I

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Algebraic Structures of Neutrosophic Triplets, Neutrosophic Duplets, or Neutrosophic Multisets, Volume I - 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, Volume I write by Florentin Smarandache. This book was released on . Algebraic Structures of Neutrosophic Triplets, Neutrosophic Duplets, or Neutrosophic Multisets, Volume I available in PDF, EPUB and Kindle. Neutrosophy (1995) is a new branch of philosophy that studies triads of the form (, , ), where is an entity (i.e., element, concept, idea, theory, logical proposition, etc.), is the opposite of , while is the neutral (or indeterminate) between them, i.e., neither nor . Based on neutrosophy, the neutrosophic triplets were founded; they have a similar form: (x, neut(x), anti(x), that satisfy some axioms, for each element x in a given set. This book contains the successful invited submissions to a special issue of Symmetry, reporting on state-of-the-art and recent advancements of neutrosophic triplets, neutrosophic duplets, neutrosophic multisets, and their algebraic structures—that have been defined recently in 2016, but have gained interest from world researchers, and several papers have been published in first rank international journals.

The algebraic structure on the neutrosophic triplet set

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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 ℤ𝑛 , for some specific n. These neutrosophic triplet groups are built using only modulo integer 2p, with p is an odd prime or Cayley table.