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Application of Intuitionistic Fuzzy Soft Matrices for Disease Diagnosis

Received: 27 August 2020    Accepted: 18 September 2020    Published: 30 September 2020
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Abstract

Decision Making is the best procedure to choose a superlative alternative from all feasible alternatives. Almost in all other issues, the overall number of criteria because decision making the general alternatives is pervasive. Nowadays decision making is a critical problem in every field of life. In some cases, we must deliberate membership unbiassed as the non- membership values for the suitable representation of an object in uncertain and indeterminate conditions that could not be handled by fuzzy sets nor by interval-valued fuzzy sets. To overcome these difficulties the notion of Intuitionistic fuzzy sets has been presented. In this paper, we study some basic concepts of fuzzy sets, soft sets, fuzzy soft sets, intuitionistic fuzzy sets, intuitionistic soft sets, intuitionistic fuzzy soft sets (IFSS), and intuitionistic fuzzy soft matrices (IFSM). Finally, in this research, we use the IFSM for disease diagnoses in patients who suffer from different diseases such as stomach ulcer and typhoid by using hypothetical data we conclude that patient p2 suffering stomach ulcer p2 and p3 patients suffering from typhoid.

Published in International Journal of Discrete Mathematics (Volume 5, Issue 1)
DOI 10.11648/j.dmath.20200501.12
Page(s) 4-9
Creative Commons

This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.

Copyright

Copyright © The Author(s), 2024. Published by Science Publishing Group

Keywords

Fuzzy Set, Fuzzy Soft Set, Intuitionistic Soft Set, Intuitionistic Fuzzy Soft Set, Intuitionistic Fuzzy Soft Matrices

References
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Cite This Article
  • APA Style

    Rana Muhammad Zulqarnain, Muhammad Saeed, Muhammad Irfan Ahamad, Sohaib Abdal, Zeeshan Zafar, et al. (2020). Application of Intuitionistic Fuzzy Soft Matrices for Disease Diagnosis. International Journal of Discrete Mathematics, 5(1), 4-9. https://doi.org/10.11648/j.dmath.20200501.12

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    ACS Style

    Rana Muhammad Zulqarnain; Muhammad Saeed; Muhammad Irfan Ahamad; Sohaib Abdal; Zeeshan Zafar, et al. Application of Intuitionistic Fuzzy Soft Matrices for Disease Diagnosis. Int. J. Discrete Math. 2020, 5(1), 4-9. doi: 10.11648/j.dmath.20200501.12

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    AMA Style

    Rana Muhammad Zulqarnain, Muhammad Saeed, Muhammad Irfan Ahamad, Sohaib Abdal, Zeeshan Zafar, et al. Application of Intuitionistic Fuzzy Soft Matrices for Disease Diagnosis. Int J Discrete Math. 2020;5(1):4-9. doi: 10.11648/j.dmath.20200501.12

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  • @article{10.11648/j.dmath.20200501.12,
      author = {Rana Muhammad Zulqarnain and Muhammad Saeed and Muhammad Irfan Ahamad and Sohaib Abdal and Zeeshan Zafar and Muhammad Aslam},
      title = {Application of Intuitionistic Fuzzy Soft Matrices for Disease Diagnosis},
      journal = {International Journal of Discrete Mathematics},
      volume = {5},
      number = {1},
      pages = {4-9},
      doi = {10.11648/j.dmath.20200501.12},
      url = {https://doi.org/10.11648/j.dmath.20200501.12},
      eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.dmath.20200501.12},
      abstract = {Decision Making is the best procedure to choose a superlative alternative from all feasible alternatives. Almost in all other issues, the overall number of criteria because decision making the general alternatives is pervasive. Nowadays decision making is a critical problem in every field of life. In some cases, we must deliberate membership unbiassed as the non- membership values for the suitable representation of an object in uncertain and indeterminate conditions that could not be handled by fuzzy sets nor by interval-valued fuzzy sets. To overcome these difficulties the notion of Intuitionistic fuzzy sets has been presented. In this paper, we study some basic concepts of fuzzy sets, soft sets, fuzzy soft sets, intuitionistic fuzzy sets, intuitionistic soft sets, intuitionistic fuzzy soft sets (IFSS), and intuitionistic fuzzy soft matrices (IFSM). Finally, in this research, we use the IFSM for disease diagnoses in patients who suffer from different diseases such as stomach ulcer and typhoid by using hypothetical data we conclude that patient p2 suffering stomach ulcer p2 and p3 patients suffering from typhoid.},
     year = {2020}
    }
    

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    T1  - Application of Intuitionistic Fuzzy Soft Matrices for Disease Diagnosis
    AU  - Rana Muhammad Zulqarnain
    AU  - Muhammad Saeed
    AU  - Muhammad Irfan Ahamad
    AU  - Sohaib Abdal
    AU  - Zeeshan Zafar
    AU  - Muhammad Aslam
    Y1  - 2020/09/30
    PY  - 2020
    N1  - https://doi.org/10.11648/j.dmath.20200501.12
    DO  - 10.11648/j.dmath.20200501.12
    T2  - International Journal of Discrete Mathematics
    JF  - International Journal of Discrete Mathematics
    JO  - International Journal of Discrete Mathematics
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    EP  - 9
    PB  - Science Publishing Group
    SN  - 2578-9252
    UR  - https://doi.org/10.11648/j.dmath.20200501.12
    AB  - Decision Making is the best procedure to choose a superlative alternative from all feasible alternatives. Almost in all other issues, the overall number of criteria because decision making the general alternatives is pervasive. Nowadays decision making is a critical problem in every field of life. In some cases, we must deliberate membership unbiassed as the non- membership values for the suitable representation of an object in uncertain and indeterminate conditions that could not be handled by fuzzy sets nor by interval-valued fuzzy sets. To overcome these difficulties the notion of Intuitionistic fuzzy sets has been presented. In this paper, we study some basic concepts of fuzzy sets, soft sets, fuzzy soft sets, intuitionistic fuzzy sets, intuitionistic soft sets, intuitionistic fuzzy soft sets (IFSS), and intuitionistic fuzzy soft matrices (IFSM). Finally, in this research, we use the IFSM for disease diagnoses in patients who suffer from different diseases such as stomach ulcer and typhoid by using hypothetical data we conclude that patient p2 suffering stomach ulcer p2 and p3 patients suffering from typhoid.
    VL  - 5
    IS  - 1
    ER  - 

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Author Information
  • School of Mathematics, Northwest University, Xi’an, China

  • School of Science, Department of Mathematics, University of Management and Technology, Lahore, Pakistan

  • College of Urban and Environmental Sciences, Northwest University, Xi’an, China

  • School of Mathematics, Northwest University, Xi’an, China

  • College of Urban and Environmental Sciences, Northwest University, Xi’an, China

  • School of World History and Middle East Studies, Northwest University, Xian, China

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