关于量子电路模糊推理的实现

IF 2.7 1区数学 Q2 COMPUTER SCIENCE, THEORY & METHODS

Fuzzy Sets and Systems Pub Date : 2025-10-02 DOI:10.1016/j.fss.2025.109611

Songsong Dai

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引用次数: 0

摘要

本文合成了用于模糊关系推理的量子电路。推理组合规则（CRI）和Bandler-Kohout子积（BKS）方法是两种应用广泛的模糊关系推理（FRI）方法。为了能够在量子计算机上工作，我们首先修改了CRI和BKS方法。然后，我们构建了改进的CRI和BKS方法的量子电路。最后，演示了改进的CRI方法在OriginQ量子计算云平台上的实现。

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On the quantum circuit implementation of fuzzy reasoning

In this paper, quantum circuits for fuzzy relational inferences are synthesized. The compositional rule of inference (CRI) and Bandler-Kohout subproduct (BKS) methods are two widely used fuzzy relational inference (FRI) schemes. To be able to work on a quantum computer, we first modify the CRI and BKS methods. Then we construct the quantum circuits for the modified CRI and BKS methods. Finally, implementation of modified CRI method on the OriginQ quantum computing cloud platform is demonstrated.

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来源期刊

Fuzzy Sets and Systems 数学-计算机：理论方法

CiteScore

6.50

自引率

17.90%

发文量

321

审稿时长

6.1 months

期刊介绍： Since its launching in 1978, the journal Fuzzy Sets and Systems has been devoted to the international advancement of the theory and application of fuzzy sets and systems. The theory of fuzzy sets now encompasses a well organized corpus of basic notions including (and not restricted to) aggregation operations, a generalized theory of relations, specific measures of information content, a calculus of fuzzy numbers. Fuzzy sets are also the cornerstone of a non-additive uncertainty theory, namely possibility theory, and of a versatile tool for both linguistic and numerical modeling: fuzzy rule-based systems. Numerous works now combine fuzzy concepts with other scientific disciplines as well as modern technologies. In mathematics fuzzy sets have triggered new research topics in connection with category theory, topology, algebra, analysis. Fuzzy sets are also part of a recent trend in the study of generalized measures and integrals, and are combined with statistical methods. Furthermore, fuzzy sets have strong logical underpinnings in the tradition of many-valued logics.