# Distance measures for Interval Type-2 fuzzy numbers

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

Research output: Contribution to journalArticle

28 Citations (Scopus)

### 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.

Original language English 93-102 10 Discrete Applied Mathematics 197 https://doi.org/10.1016/j.dam.2014.11.016 Published - Dec 31 2015

### Fingerprint

Distance Measure
Fuzzy numbers
Interval
Centroid
Numerical Examples
Interpretation

### Keywords

• Fuzzy ordering
• Interval Type-2 fuzzy numbers
• Minkowski distance
• α-cuts

### ASJC Scopus subject areas

• Applied Mathematics
• Discrete Mathematics and Combinatorics

### Cite this

Distance measures for Interval Type-2 fuzzy numbers. / Figueroa-García, Juan Carlos; Chalco-Cano, Yurilev; Román-Flores, Heriberto.

In: Discrete Applied Mathematics, Vol. 197, 31.12.2015, p. 93-102.

Research output: Contribution to journalArticle

Figueroa-García, Juan Carlos ; Chalco-Cano, Yurilev ; Román-Flores, Heriberto. / Distance measures for Interval Type-2 fuzzy numbers. In: Discrete Applied Mathematics. 2015 ; Vol. 197. pp. 93-102.
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