Convex Soft Geometries

Authors

DOI:

https://doi.org/10.47852/bonviewJCCE597820

Keywords:

soft set, convex soft geometry

Abstract

This paper introduces convex soft geometries. The import of this model is that it extends a successful field of research, namely, convex geometries, to account for alternatives characterized by a multiplicity of attributes. Related concepts include soft convex hulls and a notion of extreme elements. Some fundamental results are proven. Among them, we guarantee that an anti-exchange property holds true. Importantly, the existence of extreme elements is guaranteed hence proving their suitability for applied studies. Both results are natural (but non-trivial) extensions of comparable outputs for convex geometries. We present a detailed research program that might stimulate future investigations on this new research area.

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Published

2022-01-10

How to Cite

Alcantud, J. C. R. (2022). Convex Soft Geometries. Journal of Computational and Cognitive Engineering, 1(1), 2–12. https://doi.org/10.47852/bonviewJCCE597820