Revisiting the Plithogenic SuperHypersoft Set and Plithogenic Forest SuperHypersoft Set: Applications in Sustainable Machine Systems
Takaaki Fujita · Florentin Smarandache
Infinite Study
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23
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About this ebook
The Plithogenic Set is widely recognized for its ability to generalize fundamental concepts such as Fuzzy Sets and Neutrosophic Sets. The Extended Plithogenic Set, as recently defined in [93], represents an advanced extension of the Plithogenic Set, offering a more refined mathematical framework for handling uncertainty and contradiction. A Hypersoft Set is a mathematical structure that maps distinct attributes, each with non-overlapping values, to subsets of a universal set, thus enabling effective multi-criteria decision analysis. Recent studies have explored the combination of Plithogenic Sets and Hypersoft Sets, leading to the development of the Plithogenic Hypersoft Set, which further enhances the capacity for complex decision-making under uncertainty. In this paper, we extend these concepts further by introducing and analyzing the Plithogenic SuperHypersoft Set and the Extended Plithogenic SuperHypersoft Set. This work serves as an extended version of [37], specifically expanding upon it by incorporating a detailed examination of applications in the field of sustainable machines.
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