Volume 26 , Issue 4 , PP: 65-76, 2025 | Cite this article as | XML | Html | PDF | Full Length Article
Takaaki Fujita 1 , Maisam Jdid 2 * , Florentin Smarandache 3
Doi: https://doi.org/10.54216/IJNS.260408
A hyperfunction maps each input to a subset of outputs, generalizing classical functions to represent multi-valued or uncertain outcomes. A superhyperfunction extends this idea further by mapping sets (or sets of sets) to higher-order powerset values, thereby capturing complex hierarchical or layered uncertainties. In this paper, we explore the use of hyperfunctions and superhyperfunctions in linear programming. Specifically, we examine the Linear Objective (Profit/Cost) n-SuperHyperfunction and the Linear Utility n-SuperHyperfunction. We hope these concepts will advance both hyperfunction theory and the study of linear programming under uncertainty.
Hyperfunction , Superhyperfunction , Linear Programming , Linear Utility Function , Linear Objective (Profit/Cost) Function
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