1,370 research outputs found
Standard Neutrosophic Soft Theory: Some First Results
The traditional soft set is a mapping from a parameter set to family of all crisp subsets of a universe. Molodtsov introduced the soft set as a generalized tool for modelling complex systems involving uncertain or not clearly defined objects. In this paper, the notion of neutrosophic soft set is reanalysed. The novel theory is a combination of neutrosophic set theory and soft set theory. The complement, “and”, “or”, intersection and union operations are defined on the neutrosophic soft sets. The neutrosophic soft relations accompanied with their compositions are also defined. The basic properties of the neutrosophic soft sets, neutrosophic soft relations and neutrosophic soft compositions are also discussed
Cosine Measures of Neutrosophic Cubic Sets for Multiple Attribute Decision-Making
The neutrosophic cubic set can contain much more information to express its interval neutrosophic numbers and single-valued neutrosophic numbers simultaneously in indeterminate environments. Hence, it is a usual tool for expressing much more information in complex decision-making problems
A Geometric Interpretation of the Neutrosophic Set - A Generalization of the Intuitionistic Fuzzy Set
In this paper we generalize the intuitionistic fuzzy set (IFS),
paraconsistent set, and intuitionistic set to the neutrosophic set (NS).
Several examples are presented. Also, a geometric interpretation of the
Neutrosophic Set is given using a Neutrosophic Cube. Many distinctions between
NS and IFS are underlined.Comment: 9 pages. Presented at the 2003 BISC FLINT-CIBI International Workshop
on Soft Computing for Internet and Bioinformatics, University of Berkeley,
California, December 15-19, 2003, under the title "Generalization of the
Intuitionistic Fuzzy Set to the Neutrosophic Set
Introduction to the Complex Refined Neutrosophic Set
In this paper, one extends the single-valued complex neutrosophic set to the subsetvalued complex neutrosophic set, and afterwards to the subset-valued complex refined neutrosophic set
Neutrosophic Rings
This book has four chapters. Chapter one is introductory in nature, for it
recalls some basic definitions essential to make the book a self-contained one.
Chapter two, introduces for the first time the new notion of neutrosophic rings
and some special neutrosophic rings like neutrosophic ring of matrix and
neutrosophic polynomial rings. Chapter three gives some new classes of
neutrosophic rings like group neutrosophic rings,neutrosophic group
neutrosophic rings, semigroup neutrosophic rings, S-semigroup neutrosophic
rings which can be realized as a type of extension of group rings or
generalization of group rings. Study of these structures will throw light on
the research on the algebraic structure of group rings. Chapter four is
entirely devoted to the problems on this new topic, which is an added
attraction to researchers. A salient feature of this book is that it gives 246
problems in Chapter four. Some of the problems are direct and simple, some
little difficult and some can be taken up as a research problem.Comment: 154 page
An application of complex neutrosophic sets to the theory of groups
In this article we introduce the concept of complex neutrosophıc subgroups (normal subgroups). We define the notion of alpha-cut of complex neutrosophıc set, give examples and study some of its related results. We also define the Cartesian product of complex neutrosophic subgroups. Furthermore, we
introduce the concept of image and preimage of complex neutrosophic set and prove some of its properties
Neutrosophic Rings I
In this paper, we present some elementary properties of neutrosophic rings.
The structure of neutrosophic polynomial rings is also presented. We provide answers to the questions raised by Vasantha Kandasamy and Florentin Smarandache in [1] concerning principal ideals, prime ideals, factorization and Unique Factorization Domain in neutrosophic polynomial rings
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