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The Hesitant Fuzzy Soft Set and Its Application in Decision-Making

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Facets of Uncertainties and Applications

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 125))

Abstract

This article introduces the concept of hesitant fuzzy soft set (HFSS) by combining Torra’s (2010) hesitant fuzzy set and Molodtsov’s (1999) soft set theory. In order to handle uncertain and imprecise situation especially in medical diagnosis hesitant fuzzy soft sets are found to be more useful. This article investigates a couple of distance measurements procedures and aggregation operators applicable for HFSS. An algorithmic approach is proposed to solve multiple attribute decision-making (MADM) problems using HFSS with the help of aggregation operators and hesitant fuzzy soft matrix (HFSM). Finally, an illustrative example is presented to analyze the proposed approach.

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Authors and Affiliations

  1. Department of CSE, Dr. B.C. Roy Engineering College, Durgapur, 713206, India

    Sujit Das

  2. Department of Mathematics, National Institute of Technology, Durgapur, 713209, India

    Samarjit Kar

Authors
  1. Sujit Das
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  2. Samarjit Kar
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Correspondence to Sujit Das .

Editor information

Editors and Affiliations

  1. Jadavpur University, Kolkata, India

    Mihir K. Chakraborty

  2. Institute of Mathematics, University of Warsaw, Warszawa, Poland

    Andrzej Skowron

  3. Vidyasagar University, Paschim Medinipur, West Bengal, India

    Manoranjan Maiti

  4. Department of Mathematics, National Institute of Technology (NIT), Durgapur, India

    Samarjit Kar

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Das, S., Kar, S. (2015). The Hesitant Fuzzy Soft Set and Its Application in Decision-Making. In: Chakraborty, M.K., Skowron, A., Maiti, M., Kar, S. (eds) Facets of Uncertainties and Applications. Springer Proceedings in Mathematics & Statistics, vol 125. Springer, New Delhi. https://doi.org/10.1007/978-81-322-2301-6_18

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