Journal
FUZZY SETS AND SYSTEMS
Volume 229, Issue -, Pages 69-90Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.fss.2012.12.009
Keywords
Overlap function; Grouping function; Migrativity; Convex combination; Ignorance function
Funding
- Research Services of the Universidad Publica de Navarra
- National Science Foundation of Spain [TIN2010-15055, TIN2011-29520, TIN2009-07901, TEC2009-14587-C03-03]
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In this paper we study under which conditions overlap and grouping functions satisfy some commonly demanded properties such as migrativity or homogeneity. We also recall that the convex combination of overlap (grouping) functions is a new overlap (grouping) function. This property allows us to achieve a consensus between different methods that solve certain problems by means of these functions. We also show one application of this property in image processing. (C) 2013 Elsevier B.V. All rights reserved.
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