Name
Abstract | ||
|---|---|---|
Computer systems based on fuzzy logic are capable of generating a reliable output even when handling inaccurate input data by applying a rule based system. The main contribution of this paper is to show that quantum computing can be used to extend the class of fuzzy sets. The central idea associates the states of a quantum register to membership functions (mFs) of fuzzy subsets, and the rules for the processes of fuzzyfication are performed by unitary quantum transformations. Thus, this paper describes multi-dimensional quantum registers, associated to mFs on the unitary interval U, in order to introduce a novel interpretation of aggregations found in fuzzy set theory. In particular, t-norms and t-conorms based on quantum gates allows the modeling and interpretation of union, intersection, difference and implication among fuzzy sets, also including an expression for the class of fuzzy S-implications. Furthermore, an interpretation of the symmetric sum was achieved by considering the quantum register sum operator. |
Year | DOI | Venue |
|---|---|---|
2013 | 10.1109/FUZZ-IEEE.2013.6622365 | Fuzzy Systems |
Keywords | Field | DocType |
fuzzy logic,fuzzy set theory,knowledge based systems,quantum computing,aggregation operations,computer systems,fuzzy S-implications,fuzzy logic,fuzzy set theory,fuzzy sets,fuzzy subsets,fuzzyfication processes,membership functions,multidimensional quantum registers,quantum computing,quantum gates,quantum register sum operator,rule based system,symmetric sum interpretation,t-conorms,t-norms,unitary quantum transformations,Aggregation Operations,Fuzzy Logic,Quantum Computing,Quantum Operators | Quantum phase estimation algorithm,Defuzzification,Fuzzy classification,Control theory,Computer science,Fuzzy set operations,Algorithm,Theoretical computer science,Quantum algorithm,Type-2 fuzzy sets and systems,Fuzzy number,Quantum operation | Conference |
ISSN | ISBN | Citations |
1098-7584 | 978-1-4799-0020-6 | 5 |
PageRank | References | Authors |
0.65 | 9 | 4 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Lidiane Visintin | 1 | 5 | 0.99 |
| Adriano Maron | 2 | 5 | 0.65 |
| Renata Reiser | 3 | 10 | 1.42 |
| Vladik Kreinovich | 4 | 1091 | 281.07 |