Aggregation Operators on Bounded Partially Ordered Sets, Aggregative Spaces and Their Duality
M Demirci - … Processing and Management of Uncertainty in …, 2014 - Springer
M Demirci
Information Processing and Management of Uncertainty in Knowledge-Based …, 2014•SpringerThe present paper introduces aggregative spaces and their category AGS, and then
establishes a dual adjunction between AGS and the category Agop of aggregation operators
on bounded partially ordered sets. Spatial aggregation operators and sober aggregative
spaces, enabling us to restrict the dual adjunction between AGS and Agop to a dual
equivalence between the full subcategory of Agop consisting of spatial aggregation
operators and the full subcategory of AGS consisting of sober aggregative spaces, will also …
establishes a dual adjunction between AGS and the category Agop of aggregation operators
on bounded partially ordered sets. Spatial aggregation operators and sober aggregative
spaces, enabling us to restrict the dual adjunction between AGS and Agop to a dual
equivalence between the full subcategory of Agop consisting of spatial aggregation
operators and the full subcategory of AGS consisting of sober aggregative spaces, will also …
Abstract
The present paper introduces aggregative spaces and their category AGS, and then establishes a dual adjunction between AGS and the category Agop of aggregation operators on bounded partially ordered sets. Spatial aggregation operators and sober aggregative spaces, enabling us to restrict the dual adjunction between AGS and Agop to a dual equivalence between the full subcategory of Agop consisting of spatial aggregation operators and the full subcategory of AGS consisting of sober aggregative spaces, will also be subjects of this paper.
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