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Literature review on type-2 fuzzy set theory

  • Fuzzy systems and their mathematics
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Abstract

Type-2 fuzzy sets possess higher capability of capturing uncertainties than ordinary fuzzy sets due to the presence of secondary membership degree. As a consequence, type-2 fuzzy set has remarkably progressed as a promising tool for dealing uncertainties in both theoretical as well as practical perspectives of various domains, like engineering, social sciences, arts and humanities, computer sciences, medical sciences, physical sciences, business and management, as well as in other areas. In this paper, a comprehensive literature survey on type-2 fuzzy set theory is presented. With the help of graphical representations, it is elaborately explained how type-2 fuzzy sets are gradually attracting the researchers years after years since its initiation. This article explores on the subject areas on which type-2 fuzzy sets have already established their potentiality to tackle imprecise information. Also, various extensions and developments of type-2 fuzzy sets have been presented in a systematic manner. Finally, future research directions of type-2 fuzzy set theory have been discussed.

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Acknowledgements

The authors remain grateful to the reviewers for their constructive comments and helpful suggestions to enrich the quality of research of this article. The authors would also like to thank Dr. Debasish Majumder, Assistant Professor of JIS College of Engineering, Kalyani, India, for his assistance in presenting some artworks of this article.

Funding

The authors thankfully acknowledge the financial support, provided by Science and Engineering Research Board, Department of Science and Technology, Government of India, for carrying out research works under ‘Teachers Associateship for Research Excellence’ (TARE) scheme vide Reference No. TAR/20l9/000272.

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  1. Department of Mathematics, Government College of Engineering and Textile Technology, Serampore, 712201, India

    Arnab Kumar De

  2. Department of Mathematics, Indian Institute of Technology, Kharagpur, 721302, India

    Debjani Chakraborty

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

    Animesh Biswas

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  1. Arnab Kumar De
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De, A.K., Chakraborty, D. & Biswas, A. Literature review on type-2 fuzzy set theory. Soft Comput 26, 9049–9068 (2022). https://doi.org/10.1007/s00500-022-07304-4

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