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On Pythagorean fuzzy soft matrices, operations and their applications in decision making and medical diagnosis

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Abstract

In the present communication, we introduce Pythagorean fuzzy soft matrix and its various possible types. Some binary operations and various properties over the matrices are also being defined with their proof of validity. Further, the Pythagorean fuzzy soft matrices have been taken into account for proposing a new algorithm for decision making by using choice matrix and weighted choice matrix. In addition to this, an algorithm for medical diagnosis problem by making use of score matrix and utility matrix has also been proposed. Numerical examples for each of the applications have been successfully illustrated. A comparative analysis with other existing methods has also been carried out.

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Acknowledgements

We are very much thankful to the anonymous reviewers for suggesting the points/mistakes which have been well implemented/corrected for the necessary improvement of the manuscript. We sincerely acknowledge our deep sense of gratitude to the reviewers for giving their valuable time to the manuscript.

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Authors and Affiliations

  1. Department of Mathematics, Jaypee University of Information Technology, Waknaghat, Solan, Himachal Pradesh, 173 234, India

    Abhishek Guleria & Rakesh Kumar Bajaj

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  1. Abhishek Guleria
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  2. Rakesh Kumar Bajaj
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Correspondence to Rakesh Kumar Bajaj.

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Communicated by V. Loia.

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Guleria, A., Bajaj, R.K. On Pythagorean fuzzy soft matrices, operations and their applications in decision making and medical diagnosis. Soft Comput 23, 7889–7900 (2019). https://doi.org/10.1007/s00500-018-3419-z

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  • DOI: https://doi.org/10.1007/s00500-018-3419-z

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