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

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• 作者：Renata Reiser ^{reiser@inf.ufpel.edu.br" class="auth_mail" title="E-mail the corresponding author} ; Alexandre Lemke ^{alemke@inf.ufpel.edu.br" class="auth_mail" title="E-mail the corresponding author} ; Anderson Avila ^{abdavila@inf.ufpel.edu.br" class="auth_mail" title="E-mail the corresponding author} ; Jú ; lia Vieira ^{jkvieira@inf.ufpel.edu.br" class="auth_mail" title="E-mail the corresponding author} ; Maurí ; cio Pilla ^{pilla@inf.ufpel.edu.br" class="auth_mail" title="E-mail the corresponding author} ; André ; Du Bois ^{dubois@inf.ufpel.edu.br" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Quntum fuzzy computing ; quantum computing ; intuitionistic fuzzy logic ; fuzzy implications ; fuzzy difference
• 刊名：Electronic Notes in Theoretical Computer Science
• 出版年：2016
• 出版时间：30 September 2016
• 年：2016
• 卷：324
• 期：Complete
• 页码：135-150
• 全文大小：282 K

文摘

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.