Fuzzy score and fuzzy cost SuperHyperFunction
DOI:
https://doi.org/10.31181/jdaic10030112025fKeywords:
fuzzy function, fuzzy score function, fuzzy cost functionAbstract
A HyperFunction associates each input with a set of admissible outputs, extending conventional functions by allowing multi-valued rather than single-valued mappings. A SuperHyperFunction further generalizes this concept by employing iterated powersets for both its domain and codomain, enabling the representation of hierarchical, multi-level output structures and HyperStructural multi-valued behavior within complex systems. Although HyperFunctions and SuperHyperFunctions offer expressive tools for modeling hierarchical functional relationships, their study in the existing literature remains relatively limited. This paper extends the fuzzy score function and fuzzy cost function within the frameworks of HyperFunctions and SuperHyperFunctions and provides a concise theoretical analysis of their essential properties.
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