IBM-Qiskit Simulations for Quantum-Fuzzy Interpretations of X(N)or-Connectives using Overlapping and Grouping Aggregations

Juliano Buss,Bruna Novack,H. Santos,Giancarlo Lucca,L. Oliveira,A. Yamin,A. Cruz,R. H. S. Reiser

Published 2025 in IEEE International Conference on Fuzzy Systems

ABSTRACT

This study aims to contribute to the broader dissemination of knowledge concerning quantum fuzzy computing. Combining characteristics and exploring fusion information by Fuzzy Logic and Quantum Computing, this work extends the quantum interpretation in the class of fuzzy Xor-connectives. Firstly, the X(N)or-connective is defined using aggregation functions. Additionally, the results are validated in the Qfuzzy-Analyser, a computational component providing methodologies for algebraic analysis and logical interpretation of flexible systems via quantum circuit modeling. This study considers the well-known IBM Qiskit simulator, which enables execution and graphical representations for fuzzy X(N)or-connectives, including quantum circuits and many tools to observe the evolution of flexible systems and quantum-fuzzy interpretations.

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