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Fermatean fuzzy sets

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Abstract

In this paper, we propose Fermatean fuzzy sets. We compare Fermatean fuzzy sets with Pythagorean fuzzy sets and intuitionistic fuzzy sets. We focus on complement operator of Fermatean fuzzy sets. We find out the fundamental set of operations for the Fermatean fuzzy sets. We define score function and accuracy function for ranking of Fermatean fuzzy sets. In addition, we also study Euclidean distance between two Fermatean fuzzy sets. Later, we establish a Fermatean fuzzy TOPSIS method to fix multiple criteria decision-making problem. Ultimately, an interpretative example is stated in details to justify the elaborated method and to illustrate its viability and usefulness.

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Authors and Affiliations

  1. Department of Applied Mathematics with Oceanology and Computer Programming, Vidyasagar University, Midnapore, 721102, India

    Tapan Senapati

  2. Machine Intelligence Institute, Iona College, New Rochelle, NY, 10801, USA

    Ronald R. Yager

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  1. Tapan Senapati
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  2. Ronald R. Yager
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Correspondence to Tapan Senapati.

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Senapati, T., Yager, R.R. Fermatean fuzzy sets. J Ambient Intell Human Comput 11, 663–674 (2020). https://doi.org/10.1007/s12652-019-01377-0

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  • DOI: https://doi.org/10.1007/s12652-019-01377-0

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