Paper Info

Title | ||
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A parametrized sum of fuzzy numbers with applications to fuzzy initial value problems. |

Abstract | ||
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This paper presents a new parametrized family of joint possibility distributions that can be used to control the Pompeiu–Hausdorff norm of the sum resulting from the extension principle. We are able to generate sums with norms covering the entire interval ranging from the smallest possible value to the largest one. Finally, we apply our approach to numerical methods for solving first-order fuzzy initial value problems. |

Year | DOI | Venue |
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2018 | 10.1016/j.fss.2017.05.017 | Fuzzy Sets and Systems |

Keywords | Field | DocType |

Addition of fuzzy numbers,Interactive fuzzy numbers,Completely correlated fuzzy numbers,sup-J extension principle,Fuzzy initial value problems | Discrete mathematics,Mathematical optimization,Defuzzification,Fuzzy classification,Fuzzy set operations,Fuzzy measure theory,Fuzzy logic,Fuzzy subalgebra,Type-2 fuzzy sets and systems,Fuzzy number,Mathematics | Journal |

Volume | ISSN | Citations |

331 | 0165-0114 | 4 |

PageRank | References | Authors |

0.49 | 8 | 4 |

Authors (4 rows)

Cited by (4 rows)

References (8 rows)

Name | Order | Citations | PageRank |
---|---|---|---|

Estevão Laureano Esmi | 1 | 90 | 12.01 |

Peter Sussner | 2 | 880 | 59.25 |

Gustavo Barroso | 3 | 6 | 1.06 |

Laécio Carvalho de Barros | 4 | 36 | 3.65 |