A new similarity function for generalized trapezoidal fuzzy numbers

Vicente Cestero, Eloy and Mateos Caballero, Alfonso and Jiménez Martín, Antonio (2013). A new similarity function for generalized trapezoidal fuzzy numbers. In: "12th International Conference on Artificial Intelligence and Soft Computing", 09-13 Jun 2013, Zakopane, Polonia. ISBN 978-3-642-38657-2. pp. 400-411.

Description

Title: A new similarity function for generalized trapezoidal fuzzy numbers
Author/s:
  • Vicente Cestero, Eloy
  • Mateos Caballero, Alfonso
  • Jiménez Martín, Antonio
Item Type: Presentation at Congress or Conference (Article)
Event Title: 12th International Conference on Artificial Intelligence and Soft Computing
Event Dates: 09-13 Jun 2013
Event Location: Zakopane, Polonia
Title of Book: Artificial Intelligence and Soft Computing: 12th International Conference, ICAISC 2013 Zakopane, Poland, June 9-13, 2013 Proceedings, Part I
Date: 2013
ISBN: 978-3-642-38657-2
Volume: 7894
Subjects:
Faculty: Facultad de Informática (UPM)
Department: Inteligencia Artificial
Creative Commons Licenses: Recognition - No derivative works - Non commercial

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Abstract

Numerous authors have proposed functions to quantify the degree of similarity between two fuzzy numbers using various descriptive parameters, such as the geometric distance, the distance between the centers of gravity or the perimeter. However, these similarity functions have drawback for specific situations. We propose a new similarity measure for generalized trapezoidal fuzzy numbers aimed at overcoming such drawbacks. This new measure accounts for the distance between the centers of gravity and the geometric distance but also incorporates a new term based on the shared area between the fuzzy numbers. The proposed measure is compared against other measures in the literature.

More information

Item ID: 26121
DC Identifier: http://oa.upm.es/26121/
OAI Identifier: oai:oa.upm.es:26121
Official URL: http://link.springer.com/chapter/10.1007%2F978-3-642-38658-9_36#page-1
Deposited by: Memoria Investigacion
Deposited on: 11 Jun 2014 10:10
Last Modified: 04 Dec 2017 10:56
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