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Multivariate Extension Principle and Algebraic Operations of Intuitionistic Fuzzy Sets

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  • Yonghong Shen
  • Wei Chen

Abstract

This paper mainly focuses on multivariate extension of the extension principle of IFSs. Based on the Cartesian product over IFSs, the multivariate extension principle of IFSs is established. Furthermore, three kinds of representation of this principle are provided. Finally, a general framework of the algebraic operation between IFSs is given by using the multivariate extension principle.

Suggested Citation

  • Yonghong Shen & Wei Chen, 2012. "Multivariate Extension Principle and Algebraic Operations of Intuitionistic Fuzzy Sets," Journal of Applied Mathematics, Hindawi, vol. 2012, pages 1-18, October.
    • Handle: RePEc:hin:jnljam:845090
    DOI: 10.1155/2012/845090
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    Cited by:

    1. Jorge de Andrés-Sánchez, 2024. "Pricing Life Contingencies Linked to Impaired Life Expectancies Using Intuitionistic Fuzzy Parameters," Risks, MDPI, vol. 12(2), pages 1-33, February.

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