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Smart Multi-Criteria Analytics and Reasoning Technologies
Article . 2025 . Peer-reviewed
License: CC BY
Data sources: Crossref
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HyperFuzzy Control System and SuperHyperFuzzy Control System

Authors: null Takaaki Fujita; null Arif Mehmood; null Arkan A. Ghaib;

HyperFuzzy Control System and SuperHyperFuzzy Control System

Abstract

Uncertainty modeling is fundamental to decision-making across diverse domains, and numerous frameworks—such as Fuzzy Sets, Rough Sets, Hyperrough Sets, Vague Sets, Intuitionistic Fuzzy Sets, Hesitant Fuzzy Sets, Neutrosophic Sets, and Plithogenic Sets—have been developed to capture different facets of imprecision. Among these extensions are Hyperfuzzy Sets and their recursive generalization, SuperHyperfuzzy Sets, which assign set-valued membership degrees at multiple hierarchical levels. This paper introduces the concepts of Hyperfuzzy Control Systems and (m,n)-SuperHyperfuzzy Control Systems, showing how they generalize classical fuzzy control by incorporating richer uncertainty structures. We present rigorous definitions, theoretical properties, and illustrative examples demonstrating their ability to model hierarchical uncertainty in real-world control applications.

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average
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