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Stationary points: two-dimensional p-fuzzy dynamical systems

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Abstract

p-fuzzy dynamic systems are systems whose variational dynamic is obtained by a system based on fuzzy rules. In this article, we discuss particularly the two-dimensional p-fuzzy systems and present theorems that establish conditions of existence and uniqueness of equilibrium points. Beyond the analytical results presented, we present computer experiments that illustrate and confirm the mathematical results obtained.

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Authors and Affiliations

  1. Departamento de Matemática, Centro de Ciências da Natureza, Universidade Federal do Piauí, Campus Ininga, Bairro Ininga, Teresina, PI, 64049-550, Brazil

    Jefferson Cruz dos Santos Leite

  2. Departamento de Matemática, Centro Tecnológico, Universidade Federal do Maranhão, Campus do Bacanga, Bairro Bacanga, São Luís, MA, 65010-100, Brazil

    João de Deus Mendes da Silva

  3. Instituto de Ciências Exatas e da Terra (ICET), Universidade Federal do Mato Grosso, Bairro Boa Esperança, Cuiabá, MT, 78060-900, Brazil

    Moiseis dos Santos Cecconello

  4. Universidade Estadual de Campinas, Rua Sérgio Buarque de Holanda, 651, Campinas, SP, 13083-859, Brazil

    Rodney Carlos Bassanezi

Authors
  1. Jefferson Cruz dos Santos Leite
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  2. João de Deus Mendes da Silva
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  3. Moiseis dos Santos Cecconello
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  4. Rodney Carlos Bassanezi
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Corresponding author

Correspondence to Jefferson Cruz dos Santos Leite.

Additional information

Communicated by Anibal Tavares de Azevedo.

This work has the financial support of the Capes.

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dos Santos Leite, J.C., de Deus Mendes da Silva, J., dos Santos Cecconello, M. et al. Stationary points: two-dimensional p-fuzzy dynamical systems. Comp. Appl. Math. 37, 6448–6482 (2018). https://doi.org/10.1007/s40314-018-0701-8

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  • DOI: https://doi.org/10.1007/s40314-018-0701-8

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