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A Decision Making Approach Using Linear Diophantine Fuzzy Sets with Dombi Operations

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Intelligent and Fuzzy Systems (INFUS 2022)

Part of the book series: Lecture Notes in Networks and Systems ((LNNS,volume 505))

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Abstract

A Linear Diophantine fuzzy set with the addition of references parameters paves way for an advanced approach to handle uncertainties in multicriteria decision making. In this paper, the linear Diophantine fuzzy sets (LDFSs) have been employed to develop a multi criteria decision making method with the help of Dombi mean aggregation operators. In addition, the weighted dice similarity measures with their properties are studied for LDFSs. An illustration is provided to validate the proposed decision making approach.

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Author information

Authors and Affiliations

  1. Department of Mathematics, Panimalar Institute of Technology, Chennai, 600123, India

    J. Aldring

  2. Department of Mathematics, Patrician College of Arts and Science, Adyar, Chennai, 600020, India

    S. Santhoshkumar

  3. Department of Mathematics, Sacred Heart College (Autonomous), Tirupattur, 635601, Tamilnadu, India

    D. Ajay

Authors
  1. J. Aldring
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  2. S. Santhoshkumar
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  3. D. Ajay
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Corresponding author

Correspondence to J. Aldring .

Editor information

Editors and Affiliations

  1. Department of Industrial Engineering, Istanbul Technical University, Istanbul, Turkey

    Cengiz Kahraman

  2. Department of Industrial Engineering, Galatasaray University, Istanbul, Turkey

    A. Cagri Tolga

  3. Department of Industrial Engineering, Istanbul Technical University, Istanbul, Turkey

    Sezi Cevik Onar

  4. Department of Industrial Engineering, Yildiz Technical University, Istanbul, Turkey

    Selcuk Cebi

  5. Department of Industrial Engineering, Istanbul Technical University, Istanbul, Turkey

    Basar Oztaysi

  6. Department of Industrial Engineering, Istanbul Technical University, Istanbul, Turkey

    Irem Ucal Sari

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Aldring, J., Santhoshkumar, S., Ajay, D. (2022). A Decision Making Approach Using Linear Diophantine Fuzzy Sets with Dombi Operations. In: Kahraman, C., Tolga, A.C., Cevik Onar, S., Cebi, S., Oztaysi, B., Sari, I.U. (eds) Intelligent and Fuzzy Systems. INFUS 2022. Lecture Notes in Networks and Systems, vol 505. Springer, Cham. https://doi.org/10.1007/978-3-031-09176-6_76

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