Section: Application Examples and Resultsmentioning
confidence: 99%
“…The defuzzification method in [16] is chosen to obtain a crisp number t f associated with a trapezoidal fuzzy numberT f , it is shown in (2), where e and g are the extreme values of the whole fuzzy set range. In this study, e and g are equal to 0 and 1, respectively.…”
This paper discusses the application of fuzzy reasoning spiking neural P systems with trapezoidal fuzzy numbers (tFRSN P systems) to fault diagnosis of power systems, where a matrix-based fuzzy reasoning algorithm based on the dynamic firing mechanism of neurons is used to develop the inference ability of tFRSN P systems from classical reasoning to fuzzy reasoning. Some case studies show the effectiveness of the presented method. We also briefly draw comparisons between the presented method and several main fault diagnosis approaches from the perspectives of knowledge representation and inference process.
Section: Application Examples and Resultsmentioning
confidence: 99%
“…The defuzzification method in [16] is chosen to obtain a crisp number t f associated with a trapezoidal fuzzy numberT f , it is shown in (2), where e and g are the extreme values of the whole fuzzy set range. In this study, e and g are equal to 0 and 1, respectively.…”
This paper discusses the application of fuzzy reasoning spiking neural P systems with trapezoidal fuzzy numbers (tFRSN P systems) to fault diagnosis of power systems, where a matrix-based fuzzy reasoning algorithm based on the dynamic firing mechanism of neurons is used to develop the inference ability of tFRSN P systems from classical reasoning to fuzzy reasoning. Some case studies show the effectiveness of the presented method. We also briefly draw comparisons between the presented method and several main fault diagnosis approaches from the perspectives of knowledge representation and inference process.
“…It is still a challenge to experimentally investigate non-Hermitian Hamiltonian related physics in quantum systems. A possible approach is coldatom experiments due to spontaneous decay [37][38][39]. A possible application is to obtain a Schrödinger cat state.…”
In this paper, based on a one dimensional non-Hermitian spin model with RT -invariant term, we study the non-Hermitian physics for the two (nearly) degenerate ground states. By using the high order perturbation method, an effective pseudo-spin model is obtained to describe non-Hermitian physics for the two (nearly) degenerate ground states, which are precisely consistent with the numerical calculations. We found that there may exist effective (anti) PT -symmetry for the effective pseudo-spin model of the two (nearly) degenerate ground states. In particular, there exists spontaneous (anti) PT -symmetry breaking for the topological degenerate ground states with tunable parameters in external fields. We also found that even a very tiny imaginary external field applied will drive PT phase transition.
“…Fuzzy production rules are widely used in fuzzy knowledge representation [29]- [30]. Fuzzy production rules consist of five types: simple fuzzy production rules, composite fuzzy conjunctive rules in the antecedent, composite fuzzy conjunctive rules in the consequent, composite fuzzy disjunctive rules in the antecedent and composite fuzzy disjunctive rules in the consequent.…”
Fuzzy membrane computing is a newly developed and promising research direction in the area of membrane computing that aims at exploring the complex interaction between membrane computing and fuzzy theory. This paper provides a comprehensive survey of theoretical developments and various applications of fuzzy membrane computing, and sketches future research lines. The theoretical developments are reviewed from the aspects of uncertainty processing in P systems, fuzzification of P systems and fuzzy knowledge representation and reasoning. The applications of fuzzy membrane computing are mainly focused on fuzzy knowledge representation and fault diagnosis. An overview of different types of fuzzy P systems, differences between spiking neural P systems and fuzzy reasoning spiking neural P systems and newly obtained results on these P systems are presented.
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