Abstract
There are distinct techniques to generate fuzzy implication functions. Despite most of them using the combination of associative aggregators and fuzzy negations, other connectives such as (general) overlap/grouping functions may be a better strategy. Since these possibly non-associative operators have been successfully used in many applications, such as decision making, classification and image processing, the idea of this work is to continue previous studies related to fuzzy implication functions derived from general overlap functions. In order to obtain a more general and flexible context, we extend the class of implications derived by fuzzy negations and t-norms, replacing the latter by general overlap functions, obtaining the so-called (GO,N)-implication functions. We also investigate their properties, the aggregation of (GO,N)-implication functions, their characterization and the intersections with other classes of fuzzy implication functions.
Funder
Coordenação de Aperfeicoamento de Pessoal de Nível Superior
National Council for Scientific and Technological Development
Fundação de Amparo à Pesquisa do Estado do Rio Grande do Sul
Spanish National Research Council
Fundación “LaCaixa”
Subject
Geometry and Topology,Logic,Mathematical Physics,Algebra and Number Theory,Analysis
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