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An Integrated TOPSIS Approach to MADM with Interval-Valued Intuitionistic Fuzzy Settings

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Advanced Computational and Communication Paradigms

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 706))

Abstract

In this paper, the three-parameter characterization of intuitionistic fuzzy sets and normalized hamming distance are employed to develop mathematical programming-based TOPSIS techniques in interval-valued intuitionistic fuzzy settings. A pair of linear fractional programming models are generated which are simplified for producing intervals to measure relative closeness coefficients of alternatives. Possibility degree matrix is obtained by pairwise comparisons of closeness coefficients and optimal degrees are estimated for final ranking of alternatives. The proposed approach is illustrated through a numerical example.

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Acknowledgements

The authors are thankful to the anonymous reviewers for their valuable comments and suggestions in improving the quality of the manuscript.

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Authors and Affiliations

  1. Department of Mathematics, University of Kalyani, Kalyani, 741235, India

    Animesh Biswas

  2. Department of Mathematics, Acharya Jagadish Chandra Bose College, Kolkata, 700020, India

    Samir Kumar

Authors
  1. Animesh Biswas
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  2. Samir Kumar
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Correspondence to Animesh Biswas .

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Editors and Affiliations

  1. Department of Computer Application, RCC Institute of Information Technology, Kolkata, West Bengal, India

    Siddhartha Bhattacharyya

  2. Department of Computer Science and Engineering, University of Calcutta, Kolkata, West Bengal, India

    Nabendu Chaki

  3. Department of Computer Science and Engineering, Sikkim Manipal Institute of Technology, Majitar, Rangpo, Sikkim, India

    Debanjan Konar

  4. Department of Computer Science and Engineering, Sikkim Manipal Institute of Technology, Majitar, Rangpo, Sikkim, India

    Udit Kr. Chakraborty

  5. Department of Computer Science and Engineering, Sikkim Manipal Institute of Technology, Majitar, Rangpo, Sikkim, India

    Chingtham Tejbanta Singh

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Biswas, A., Kumar, S. (2018). An Integrated TOPSIS Approach to MADM with Interval-Valued Intuitionistic Fuzzy Settings. In: Bhattacharyya, S., Chaki, N., Konar, D., Chakraborty, U., Singh, C. (eds) Advanced Computational and Communication Paradigms. Advances in Intelligent Systems and Computing, vol 706. Springer, Singapore. https://doi.org/10.1007/978-981-10-8237-5_52

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  • DOI: https://doi.org/10.1007/978-981-10-8237-5_52

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  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-10-8236-8

  • Online ISBN: 978-981-10-8237-5

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