Distance measures for Interval Type-2 fuzzy numbers

Juan Carlos Figueroa-García; Yurilev Chalco-Cano; Heriberto Román-Flores

doi:10.1016/j.dam.2014.11.016

Distance measures for Interval Type-2 fuzzy numbers

Juan Carlos Figueroa-García
, Yurilev Chalco-Cano
, Heriberto Román-Flores

Departamento de Matemática

Universidad Distrital Francisco José de Caldas
Universidad de Tarapacá

Producción científica: Contribución a una revista › Artículo › revisión exhaustiva

57 Citas (Scopus)

Resumen

This paper shows some distance measures for comparing Interval Type-2 fuzzy numbers. In addition, some definitions about ordering of Interval Type-2 fuzzy numbers based on their centroids, are provided. Some numerical examples are given, and some interpretation issues are explained.

Idioma original	Inglés
Páginas (desde-hasta)	93-102
Número de páginas	10
Publicación	Discrete Applied Mathematics
Volumen	197
DOI	https://doi.org/10.1016/j.dam.2014.11.016
Estado	Publicada - 31 dic 2015

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title = "Distance measures for Interval Type-2 fuzzy numbers",

abstract = "This paper shows some distance measures for comparing Interval Type-2 fuzzy numbers. In addition, some definitions about ordering of Interval Type-2 fuzzy numbers based on their centroids, are provided. Some numerical examples are given, and some interpretation issues are explained.",

keywords = "Fuzzy ordering, Interval Type-2 fuzzy numbers, Minkowski distance, α-cuts",

author = "Figueroa-Garc{\'i}a, \{Juan Carlos\} and Yurilev Chalco-Cano and Heriberto Rom{\'a}n-Flores",

year = "2015",

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day = "31",

doi = "10.1016/j.dam.2014.11.016",

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journal = "Discrete Applied Mathematics",

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AU - Figueroa-García, Juan Carlos

AU - Chalco-Cano, Yurilev

AU - Román-Flores, Heriberto

PY - 2015/12/31

Y1 - 2015/12/31

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AB - This paper shows some distance measures for comparing Interval Type-2 fuzzy numbers. In addition, some definitions about ordering of Interval Type-2 fuzzy numbers based on their centroids, are provided. Some numerical examples are given, and some interpretation issues are explained.

KW - Fuzzy ordering

KW - Interval Type-2 fuzzy numbers

KW - Minkowski distance

KW - α-cuts

UR - https://www.scopus.com/pages/publications/84929127037

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JO - Discrete Applied Mathematics

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Distance measures for Interval Type-2 fuzzy numbers

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