Paper Info

Title | ||
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Lebesgue measure of α-cuts approach for finding the height of the membership function |

Abstract | ||
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The goal of this paper is to present a procedure for finding the height (the global maximum) of a membership function of a fuzzy set of Rn, even for non-continuous membership functions, using the Lebesgue measure of α-cuts. Randomizing the variable and approximating the corresponding function to α-cuts completes the procedure. An algorithm is given for finding the height of the membership function, which is applied to some characteristic examples. |

Year | DOI | Venue |
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2000 | 10.1016/S0165-0114(98)00162-6 | Fuzzy Sets and Systems |

Keywords | Field | DocType |

Membership function,Height,α-level,Lebesgue measure,Lebesgue integral | Discrete mathematics,Measure (mathematics),Lebesgue measure,Fuzzy set,Membership function,Lebesgue integration,Mathematics | Journal |

Volume | Issue | ISSN |

111 | 3 | 0165-0114 |

Citations | PageRank | References |

5 | 0.67 | 1 |

Authors | ||

2 |

Authors (2 rows)

Cited by (5 rows)

References (1 rows)

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

Endre Pap | 1 | 921 | 91.69 |

Dusan Surla | 2 | 203 | 23.14 |