This chapter investigates the uncertainties in both quantum theory and fuzzy systems. Quantum theory includes uncertainty as a core aspect of particle behavior at the atomic and subatomic levels in the form of superposition and entanglement. On the other hand, fuzzy systems offer a tool for dealing with uncertainty in more formal contexts, such as control systems and decision-making processes, where binary logic is not applicable. This chapter aims to provide an understanding of how these two fields can complement each other. We illustrate the representation and management of uncertainty in both domains. This combination of quantum and fuzzy uncertainty not only enhances theoretically but also opens new areas for practical implementations for future research and development in this interdisciplinary area.

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Uncertainty in Quantum Theory and Fuzzy Systems

  • Sovan Samanta,
  • Tofigh Allahviranloo

摘要

This chapter investigates the uncertainties in both quantum theory and fuzzy systems. Quantum theory includes uncertainty as a core aspect of particle behavior at the atomic and subatomic levels in the form of superposition and entanglement. On the other hand, fuzzy systems offer a tool for dealing with uncertainty in more formal contexts, such as control systems and decision-making processes, where binary logic is not applicable. This chapter aims to provide an understanding of how these two fields can complement each other. We illustrate the representation and management of uncertainty in both domains. This combination of quantum and fuzzy uncertainty not only enhances theoretically but also opens new areas for practical implementations for future research and development in this interdisciplinary area.