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Concave type-2 fuzzy sets: properties and operations

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Abstract

In this article, concave type-2 fuzzy sets are investigated. The calculation of union and intersection of concave type-2 fuzzy sets using the min t-norm and the max t-conorm are explored and it is proved that the set of concave type-2 fuzzy sets is closed under those operations. It is also shown that the set of LR-normal concave type-2 fuzzy sets forms a commutative semiring under join and meet.

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Acknowledgments

The authors would like to thank the journal editors, the reviewers of the article and Dr B. B. Chaudhuri for his support.

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Authors and Affiliations

  1. Dipartimento di Scienze dell’Informazione, Universita degli Studi di Milano, Via Comelico 39/41, 20135, Milan, Italy

    Hooman Tahayori & Giovanni Degli Antoni

  2. Dipartimento di Tecnologie dell’Informazione, Universita degli Studi di Milano, Via Bramante 65, 26013, Crema, Italy

    Andrea G. B. Tettamanzi

  3. Dipartimento di Informatica e Comunicazione, Universita degli Studi di Milano, Via Comelico 39/41, 20135, Milan, Italy

    Andrea Visconti

  4. Dipartimento di Ingegneria Gestionale, Politecnico di Milano, Via Giuseppe Colombo 40, 20133, Milan, Italy

    Masoomeh Moharrer

Authors
  1. Hooman Tahayori
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  2. Andrea G. B. Tettamanzi
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  3. Giovanni Degli Antoni
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  4. Andrea Visconti
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  5. Masoomeh Moharrer
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Correspondence to Hooman Tahayori.

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Tahayori, H., Tettamanzi, A.G.B., Degli Antoni, G. et al. Concave type-2 fuzzy sets: properties and operations. Soft Comput 14, 749–756 (2010). https://doi.org/10.1007/s00500-009-0462-9

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  • DOI: https://doi.org/10.1007/s00500-009-0462-9

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