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Comments on Fuzzy Sets, Interval Type-2 Fuzzy Sets, General Type-2 Fuzzy Sets and Intuitionistic Fuzzy Sets

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Recent Advances in Intuitionistic Fuzzy Logic Systems

Part of the book series: Studies in Fuzziness and Soft Computing ((STUDFUZZ,volume 372))

Abstract

In this paper, we introduce specific types of intuitionistic fuzzy sets, inspired by the multi-dimensional intuitionistic fuzzy sets and general type-2 fuzzy sets. The newly proposed sets extend the opportunities of the general type-2 fuzzy sets when modeling particular types of uncertainty. Short comparison between concepts of interval type-2 fuzzy sets and intuitionistic fuzzy sets is presented. In addition, new future directions of research are outlined.

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Author information

Authors and Affiliations

  1. Division of Graduate Studies, Tijuana Institute of Technology, Tijuana, Mexico

    Oscar Castillo

  2. Bioinformatics and Mathematical Modelling Department, IBPhBME—Bulgarian Academy of Sciences, Sofia, Bulgaria

    Krassimir Atanassov

Authors
  1. Oscar Castillo
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  2. Krassimir Atanassov
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Corresponding author

Correspondence to Oscar Castillo .

Editor information

Editors and Affiliations

  1. Department of Mathematics, Université Sultan Moulay Slimane, Beni Mellal, Morocco

    Said Melliani

  2. Division of Graduate Studies and Research, Tijuana Institute of Technology, Tijuana, Baja California, Mexico

    Oscar Castillo

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Castillo, O., Atanassov, K. (2019). Comments on Fuzzy Sets, Interval Type-2 Fuzzy Sets, General Type-2 Fuzzy Sets and Intuitionistic Fuzzy Sets. In: Melliani, S., Castillo, O. (eds) Recent Advances in Intuitionistic Fuzzy Logic Systems. Studies in Fuzziness and Soft Computing, vol 372. Springer, Cham. https://doi.org/10.1007/978-3-030-02155-9_3

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