Multi-dimensional aggregation of fuzzy numbers through the extension principle

Authors:
Gaspar Mayor;Adolfo R. de Soto;Jaume Suñer;Enric Trillas
Affiliations:
Dept. Matemàtiques i Informàtica, Universitat de les Illes Balears 07071-Palma de Mallorca;Area de Lenguajes y Sistemas Informáticos, Universidad de León 24071 León;Dept. Matemàtiques i Informàtica, Universitat de les Illes Balears 07071-Palma de Mallorca;Dpto. Inteligencia Artificial, Universidad Politécnica de Madrid, Campus de Montegancedo, 28660 Boadilla del Monte. Madrid
Venue:
Data mining, rough sets and granular computing
Year:
2002

Citing 2
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Abstract

In this paper we propose the problem of obtaining a procedure to aggregate fuzzy numbers in such a way that the output is also a fuzzy number. To do this, we use the Zadeh's Extension Principle applied to multi-dimensional numerical functions which satisfy certain conditions, obtaining multi-dimensional aggregation functions on the lattice of fuzzy numbers. Special attention is given to the case of trapezoidal fuzzy numbers.