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  • Articles  (3)
  • MDPI Publishing  (3)
  • International Union of Crystallography
  • 2015-2019  (3)
  • 2000-2004
  • 1980-1984
  • 2018  (3)
  • Symmetry  (3)
  • 125093
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  • Articles  (3)
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  • 2015-2019  (3)
  • 2000-2004
  • 1980-1984
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  • 1
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    Symmetry, Vol. 10, Pages 213: Medical Diagnosis Based on Single-Valued Neutrosophic Probabilistic Rough Multisets over Two Universes (2018)
    MDPI Publishing
    In: Symmetry
    Details
    Publication Date: 2018-06-13
    Description: Symmetry, Vol. 10, Pages 213: Medical Diagnosis Based on Single-Valued Neutrosophic Probabilistic Rough Multisets over Two Universes Symmetry doi: 10.3390/sym10060213 Authors: Chao Zhang Deyu Li Said Broumi Arun Kumar Sangaiah In real-world diagnostic procedures, due to the limitation of human cognitive competence, a medical expert may not conveniently use some crisp numbers to express the diagnostic information, and plenty of research has indicated that generalized fuzzy numbers play a significant role in describing complex diagnostic information. To deal with medical diagnosis problems based on generalized fuzzy sets (FSs), the notion of single-valued neutrosophic multisets (SVNMs) is firstly used to express the diagnostic information in this article. Then the model of probabilistic rough sets (PRSs) over two universes is applied to analyze SVNMs, and the concepts of single-valued neutrosophic rough multisets (SVNRMs) over two universes and probabilistic rough single-valued neutrosophic multisets (PRSVNMs) over two universes are introduced. Based on SVNRMs over two universes and PRSVNMs over two universes, single-valued neutrosophic probabilistic rough multisets (SVNPRMs) over two universes are further established. Next, a three-way decisions model by virtue of SVNPRMs over two universes in the context of medical diagnosis is constructed. Finally, a practical case study along with a comparative study are carried out to reveal the accuracy and reliability of the constructed three-way decisions model.
    Electronic ISSN: 2073-8994
    Topics: Mathematics , Physics
    Published by MDPI Publishing
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  • 2
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    Symmetry, Vol. 10, Pages 190: Some Results on the Graph Theory for Complex Neutrosophic Sets (2018)
    MDPI Publishing
    In: Symmetry
    Details
    Publication Date: 2018-06-01
    Description: Symmetry, Vol. 10, Pages 190: Some Results on the Graph Theory for Complex Neutrosophic Sets Symmetry doi: 10.3390/sym10060190 Authors: Shio Gai Quek Said Broumi Ganeshsree Selvachandran Assia Bakali Mohamed Talea Florentin Smarandache Fuzzy graph theory plays an important role in the study of the symmetry and asymmetry properties of fuzzy graphs. With this in mind, in this paper, we introduce new neutrosophic graphs called complex neutrosophic graphs of type 1 (abbr. CNG1). We then present a matrix representation for it and study some properties of this new concept. The concept of CNG1 is an extension of the generalized fuzzy graphs of type 1 (GFG1) and generalized single-valued neutrosophic graphs of type 1 (GSVNG1). The utility of the CNG1 introduced here are applied to a multi-attribute decision making problem related to Internet server selection.
    Electronic ISSN: 2073-8994
    Topics: Mathematics , Physics
    Published by MDPI Publishing
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  • 3
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    Symmetry, Vol. 10, Pages 236: An Extended Technique for Order Preference by Similarity to an Ideal Solution (TOPSIS) with Maximizing Deviation Method Based on Integrated Weight Measure for Single-Valued Neutrosophic Sets (2018)
    MDPI Publishing
    In: Symmetry
    Details
    Publication Date: 2018-06-23
    Description: Symmetry, Vol. 10, Pages 236: An Extended Technique for Order Preference by Similarity to an Ideal Solution (TOPSIS) with Maximizing Deviation Method Based on Integrated Weight Measure for Single-Valued Neutrosophic Sets Symmetry doi: 10.3390/sym10070236 Authors: Ganeshsree Selvachandran Shio Gai Quek Florentin Smarandache Said Broumi A single-valued neutrosophic set (SVNS) is a special case of a neutrosophic set which is characterized by a truth, indeterminacy, and falsity membership function, each of which lies in the standard interval of [0, 1]. This paper presents a modified Technique for Order Preference by Similarity to an Ideal Solution (TOPSIS) with maximizing deviation method based on the single-valued neutrosophic set (SVNS) model. An integrated weight measure approach that takes into consideration both the objective and subjective weights of the attributes is used. The maximizing deviation method is used to compute the objective weight of the attributes, and the non-linear weighted comprehensive method is used to determine the combined weights for each attributes. The use of the maximizing deviation method allows our proposed method to handle situations in which information pertaining to the weight coefficients of the attributes are completely unknown or only partially known. The proposed method is then applied to a multi-attribute decision-making (MADM) problem. Lastly, a comprehensive comparative studies is presented, in which the performance of our proposed algorithm is compared and contrasted with other recent approaches involving SVNSs in literature.
    Electronic ISSN: 2073-8994
    Topics: Mathematics , Physics
    Published by MDPI Publishing
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