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MCDM based on new membership and non-membership accuracy functions on trapezoidal-valued intuitionistic fuzzy numbers

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Abstract

Ranking of trapezoidal-valued intuitionistic fuzzy numbers (TVIFNs) plays an important role in multi-criteria decision making (MCDM) based on the TVIFNs. The main objective of this paper is to introduce new membership and non-membership accuracy functions on the classes of interval-valued intuitionistic fuzzy numbers (IVIFNs) and TVIFNs by which the orderings on IVIFNs and TVIFNs are done. This paper reveals the better part of the proposed accuracy functions than the existing or previous functions. Further, some operations on IVIFNs and TVIFNs are defined. Finally, a new method is proposed to solve the MCDM problem based on the multi-criteria trapezoidal-valued intuitionistic fuzzy index matrix and illustrated through numerical examples.

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Acknowledgements

The authors wish to express their gratitude to the anonymous referees and editors for their valuable comments by which the quality of the paper is improved.

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Authors and Affiliations

  1. Department of Mathematics, St. Joseph’s College (Autonomous), Tiruchirappalli, Tamilnadu, India

    Geetha Sivaraman & P. Vishnukumar

  2. Department of Mathematics, K. Ramakrishnan College of Engineering, Tiruchirappalli, Tamilnadu, India

    M. Edwin Antony Raj

Authors
  1. Geetha Sivaraman
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  2. P. Vishnukumar
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  3. M. Edwin Antony Raj
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All authors contributed equally to the writing of this manuscript. All authors read and approved the final manuscript.

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Correspondence to P. Vishnukumar.

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Communicated by V. Loia.

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Sivaraman, G., Vishnukumar, P. & Raj, M.E.A. MCDM based on new membership and non-membership accuracy functions on trapezoidal-valued intuitionistic fuzzy numbers. Soft Comput 24, 4283–4293 (2020). https://doi.org/10.1007/s00500-019-04193-y

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