•  75
    It is well known that the unpredictable speech production brought on by stress from the task at hand has a significant negative impact on the performance of speech processing algorithms. Speech therapy benefits from being able to detect stress in speech. Speech processing performance suffers noticeably when perceptually produced stress causes variations in speech production. Using the acoustic speech signal to objectively characterize speaker stress is one method for assessing production varianc…Read more
  •  54
    Inspection Assignment Form for Product Quality Control Using Neutrosophic Logic
    with Florentin Smarandache and Maissam Jdid
    Neutrosophic Systems with Applications 1. 2023.
    During the production process, production companies need to monitor the finished products and ensure their quality, which imposes on them the appointment of inspectors for auditing, and this appointment costs the company amounts that affect the general profit, so it strives to make this cost as low as possible and that the audit process is carried out with high accuracy because in case that the finished products do not conform to the basic specifications of the product, the company is required t…Read more
  •  78
    Special types of bipolar single valued neutrosophic graphs
    with Ali Hassan, Muhammad Aslam Malik, Assia Bakali, Mohamed Talea, and Florentin Smarandache
    Annals of Fuzzy Mathematics and Informatics 14 (1). 2017.
    Neutrosophic theory has many applications in graph theory, bipolar single valued neutrosophic graphs (BSVNGs) is the generalization of fuzzy graphs and intuitionistic fuzzy graphs, SVNGs. In this paper we introduce some types of BSVNGs, such as subdivision BSVNGs, middle BSVNGs, total BSVNGs and bipolar single valued neutrosophic line graphs (BSVNLGs), also investigate the isomorphism, co weak isomorphism and weak isomorphism properties of subdivision BSVNGs, middle BSVNGs, total BSVNGs and BSVN…Read more
  •  5
    Contributing to the fast growing new field of neutrosophy, this book provides a significant collection of unedited articles covering the latest ongoing research area. Neutrosopy is above all a new view on modelling, tailored to effectively address the uncertainties inherent of the real world. In short, Neutrosophy supersedes in logics the binary approach of true or false by introducing a third state: neutral, which can be also interpreted as indeterminate, uncertain, inconsistent.
  •  14
    Product acceptance determination using similarity measure index by neutrosophic statistics / Muhammad Aslam and Rehan Ahmed Khan Sherwani -- New concepts of strongly edge irregular interval-valued neutrosophic graphs / A.A.Talebi, Hossein Rashmanlou and Masoomeh Ghasemi -- The link between neutrosophy and learning : through the related concepts of representation and compression / Philippe Schweizer -- Neutrosophic soft cubic M-subalgebras of B-algebras / Mohsin Khalid, Neha Andaleeb Khalid and H…Read more
  •  136
    In this paper, we define the regular and totally regular single valued neutrosophic hypergraphs, and discuss the order and size along with properties of regular and totally regular single valued neutrosophic hypergraphs. We also extend work on completeness of single valued neutrosophic hypergraphs.
  •  3
    Neutrosophic Soft Multi-Set Theory and Its Decision Making
    with Irfan Deli and Mumtaz Ali
    Neutrosophic Sets and Systems 5 65-76. 2014.
  •  1
    Neutrosophic Parameterized Soft Relations and Their Applications
    with Irfan Deli and Yunus Toktas
    Neutrosophic Sets and Systems 4 25-34. 2014.
  •  98
    Soft Interval-Valued Neutrosophic Rough Sets
    Neutrosophic Sets and Systems 7 69-80. 2015.
    In this paper, we first defined soft intervalvalued neutrosophic rough sets(SIVN- rough sets for short) which combines interval valued neutrosophic soft set and rough sets and studied some of its basic properties. This concept is an extension of soft interval valued intuitionistic fuzzy rough sets( SIVIF- rough sets). Finally an illustartive example is given to verfy the developped algorithm and to demonstrate its practicality and effectiveness.
  •  88
    On Neutrosophic Implications
    Neutrosophic Sets and Systems 2 9-17. 2014.
    In this paper, we firstly review the neutrosophic set, and then construct two new concepts called neutrosophic implication of type 1 and of type 2 for neutrosophic sets. Furthermore, some of their basic properties and some results associated with the two neutrosophic implications are proven.
  •  138
    Isolated Single Valued Neutrosophic Graphs
    with Assia Bakali, Mohamed Talea, and Florentin Smarandache
    Neutrosophic Sets and Systems 11 74-78. 2015.
    Many results have been obtained on isolated graphs and complete graphs. In this paper, a necessary and sufficient condition will be proved for a single valued neutrosophic graph to be an isolated single valued neutrosophic graph.
  •  103
    Interval Neutrosophic Rough Sets
    Neutrosophic Sets and Systems 7 23-31. 2015.
    This Paper combines interval- valued neutrouphic sets and rough sets. It studies roughness in interval- valued neutrosophic sets and some of its properties. Finally we propose a Hamming distance between lower and upper approximations of interval valued neutrosophic sets.
  •  94
    In this paper, we define a new cosine similarity between two interval valued neutrosophic sets based on Bhattacharya’s distance [19]. The notions of interval valued neutrosophic sets (IVNS, for short) will be used as vector representations in 3D-vector space. Based on the comparative analysis of the existing similarity measures for IVNS, we find that our proposed similarity measure is better and more robust. An illustrative example of the pattern recognition shows that the proposed method is sim…Read more
  •  2
    Computing Operational Matrices in Neutrosophic Environments: A Matlab Toolbox
    with Le Hoang Son, Assia Bakali, Mohamed Talea, Florentin Smaranache, and G. Selvachandra
    Neutrosophic Sets and Systems 18 58-66. 2017.
  •  107
    The interval neutrosophic uncertain linguistic variables can easily express the indeterminate and inconsistent information in real world, and TOPSIS is a very effective decision making method more and more extensive applications. In this paper, we will extend the TOPSIS method to deal with the interval neutrosophic uncertain linguistic information, and propose an extended TOPSIS method to solve the multiple attribute decision making problems in which the attribute value takes the form of the int…Read more
  •  4
    Irregular Neutrosophic Graphs
    with Nasir Shah
    Neutrosophic Sets and Systems 13 47-55. 2016.
  •  124
    A Bipolar Single Valued Neutrosophic Isolated Graphs: Revisited
    with Said Broumi, Assia Bakali, Mohamed Talea, Florentin Smarandache, and Mohsin Khan
    International Journal of New Computer Architectures and Their Applications 7 (3): 89-94. 2017.
    In this research paper, the graph of the bipolar single-valued neutrosophic set model (BSVNS) is proposed. The graphs of single valued neutrosophic set models is generalized by this graph. For the BSVNS model, several results have been proved on complete and isolated graphs. Adding, an important and suitable condition for the graphs of the BSVNS model to become an isolated graph of the BSVNS model has been demonstrated.
  • Computer application of neutrosophic set operations
    with S. Saranya and M. Vigneshwaran
    In Florentin Smarandache & Said Broumi (eds.), Neutrosophic Theories in Communication, Management and Information Technology, Nova Science Publishers. 2020.
  • Alpha, beta and gamma product of neutrosophic graphs
    with Nasir Shah, Abdul Raheem, and Tahir Imran
    In Florentin Smarandache & Said Broumi (eds.), Neutrosophic Theories in Communication, Management and Information Technology, Nova Science Publishers. 2020.
  •  144
    In this paper, the cosine similarity measure of neutrosophic refined (multi-) sets is proposed and its properties are studied. The concept of this cosine similarity measure of neutrosophic refined sets is the extension of improved cosine similarity measure of single valued neutrosophic. Finally, using this cosine similarity measure of neutrosophic refined set, the application of medical diagnosis is presented.
  •  95
    A New Approach to Multi-Spaces Through the Application of Soft Sets
    with Mumtaz Ali, Florentin Smarandache, and Muhammad Shabir
    Neutrosophic Sets and Systems 7 34-39. 2015.
    Multi-space is the notion combining different fields in to a unifying field, which is more applicable in our daily life. In this paper, we introduced the notion of multi-soft space which is the approximated collection of the multi-subspaces of a multi-space . Further, we defined some basic operations such as union, intersection, AND, OR etc. We also investigated some properties of multi-soft spaces.
  •  149
    Several Similarity Measures of Neutrosophic Sets
    Neutrosophic Sets and Systems 1 54-62. 2013.
    Smarandache (1995) defined the notion of neutrosophic sets, which is a generalization of Zadeh's fuzzy set and Atanassov's intuitionistic fuzzy set. In this paper, we first develop some similarity measures of neutrosophic sets. We will present a method to calculate the distance between neutrosophic sets (NS) on the basis of the Hausdorff distance. Then we will use this distance to generate a new similarity measure to calculate the degree of similarity between NS. Finally we will prove some prope…Read more
  •  294
    Rough Neutrosophic Sets
    with Florentin Smarandache and Mamoni Dhar
    Neutrosophic Sets and Systems 3 60-65. 2014.
    Both neutrosophic sets theory and rough sets theory are emerging as powerful tool for managing uncertainty, indeterminate, incomplete and imprecise information .In this paper we develop an hybrid structure called “ rough neutrosophic sets” and studied their properties.
  •  134
    A Note on Square Neutrosophic Fuzzy Matrices
    with Mamouni Dhar and Florentin Smarandache
    Neutrosophic Sets and Systems 3 37-41. 2014.
    In this article, we shall define the addition and multiplication of two neutrosophic fuzzy matrices. Thereafter, some properties of addition and multiplication of these matrices are also put forward.
  •  96
    In this paper, we define the regular and totally regular bipolar single valued neutrosophic hypergraphs, and discuss the order and size along with properties of regular and totally regular bipolar single valued neutrosophic hypergraphs. We extend work on completeness of bipolar single valued neutrosophic hypergraphs.
  •  344
    The Algebraic Creativity in The Neutrosophic Square Matrices‏
    with Mohammad Abobala, Ahmed Hatip, A. A. Salama, Necati Olgun, and Huda E. Khaled
    Neutrosophic Sets and Systems 40 1-11. 2021.
    The objective of this paper is to study algebraic properties of neutrosophic matrices, where a necessary and sufficient condition for the invertibility of a square neutrosophic matrix is presented by defining the neutrosophic determinant. On the other hand, this work introduces the concept of neutrosophic Eigen values and vectors with an easy algorithm to compute them. Also, this article finds a necessary and sufficient condition for the diagonalization of a neutrosophic matrix.
  • Roughness of neutrosophic sets
    with A. A. Salama
    Elixir Applied Mathematics 74 26833-26837. 2014.
    Since the world is full of indeterminacy, the neutrosophics found their place into contemporary research. In this paper we define rough neutrosophic sets and study their properties. Some propositions in this notion are proved. Possible application to computer sciences is touched upon.