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https://doi.org/10.31224/5451...
Article . 2025 . Peer-reviewed
License: CC BY
Data sources: Crossref
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Plithogenic Fuzzy Expert System, Neuro-Plithogenic Fuzzy System, and Plithogenic Fuzzy Cognitive Maps with Upside-down Logic

Authors: Takaaki Fujita;

Plithogenic Fuzzy Expert System, Neuro-Plithogenic Fuzzy System, and Plithogenic Fuzzy Cognitive Maps with Upside-down Logic

Abstract

Neuro–Fuzzy Systems combine fuzzy rule–based inference with neural learning, adapting memberships and rule parameters from data for interpretable modeling. Fuzzy Expert Systems map crisp inputs to outputs via fuzzification, T–norm/implication inference, aggregation, and defuzzification. Fuzzy Cognitive Maps capture causal relations on weighted directed graphs with iterative fuzzy updates. We extend these to the plithogenic setting: the Plithogenic Fuzzy Expert System (PFES), the Neuro–Plithogenic–Fuzzy System (NPFS), and Plithogenic Fuzzy Cognitive Maps (PFCM). We formalize a contradiction–aware operator and an Upside–Down transform with contradiction reset that flips memberships/edge–contributions above a threshold and neutralizes the anchor contradiction. We prove PFES, NPFS, and PFCM strictly generalize their classical counterparts and induce valid plithogenic fuzzy structures. Numerical examples illustrate context–dependent reasoning, learning consistency, and robustness under conflicting attributes.

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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
hybrid