Abstract
Computer systems based on intuitionistic fuzzy logic are capable of generating a reliable output even when handling inaccurate input data by applying a rule based system, even with rules that are generated with imprecision. The main contribution of this paper is to show that quantum computing can be used to extend the class of intuitionistic fuzzy sets with respect to representing intuitionistic fuzzy bi-implications. This paper describes a multi-dimensional quantum register using aggregations operators such as t-(co)norms and implications based on quantum gates allowing the modeling and interpretation of intuitionistic fuzzy bi-implications.
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Notes
- 1.
The name braket comes from the convention that a column vector is called a “ket” and is denoted by \(| \; \rangle \) and a row vector is called a “bra” and is denoted by \(\langle \; |\).
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Acknowledgements
The authors thank the partial funding of this project via 448766/2014-0 (MCTI/ CNPQ/ Universal 14/2014 - B), 310106/2016-8 (CNPq/PQ 12/2016).
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Agostini, L., Feitosa, S., Avila, A., Reiser, R., DuBois, A., Pilla, M. (2018). Representing Intuistionistic Fuzzy Bi-implications Using Quantum Computing. In: Barreto, G., Coelho, R. (eds) Fuzzy Information Processing. NAFIPS 2018. Communications in Computer and Information Science, vol 831. Springer, Cham. https://doi.org/10.1007/978-3-319-95312-0_18
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