Interpretations on Quantum Fuzzy Computing: Intuitionistic Fuzzy Operations × Quantum Operators

Quantum processes provide a parallel model for fuzzy connectives. Calculations of quantum states may be simultaneously performed by the superposition of membership and non-membership degrees of each element regarding the intuitionistic fuzzy sets. This work aims to interpret Atanassov's intuiti...

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Bibliographic Details
Published in:Electronic notes in theoretical computer science 2016-09, Vol.324, p.135-150
Main Authors: Reiser, Renata, Lemke, Alexandre, Avila, Anderson, Vieira, Júlia, Pilla, Maurício, Du Bois, André
Format: Article
Language:English
Subjects:
fuzzy difference
fuzzy implications
intuitionistic fuzzy logic
quantum computing
Quntum fuzzy computing
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Summary:Quantum processes provide a parallel model for fuzzy connectives. Calculations of quantum states may be simultaneously performed by the superposition of membership and non-membership degrees of each element regarding the intuitionistic fuzzy sets. This work aims to interpret Atanassov's intuitionistic fuzzy logic through quantum computing, where not only intuitionistic fuzzy sets, but also their basic operations and corresponding connectives (negation, conjuntion, disjuntion, difference, codifference, implication, and coimplication), are interpreted based on the traditional quantum circuit model.
ISSN:1571-0661
1571-0661
DOI:10.1016/j.entcs.2016.09.012