7,702 research outputs found
Interval computations with BK-products of fuzzy relations in diagnostic knowledge-based system CLINAID
CLINAID is a medical knowledge-based system that uses fuzzy relational structures for both
knowledge representation and inference. The system can deal with multiple body systems. Interval-based
fuzzy logics employed in CLINAID make it possible to deal efficiently with multiplicity of contexts that
appear in medical decision making involving risk and uncertainty. A particular emphasis is placed on the
description of the involvement of fuzzy triangle and square relational products that play a significant role
in our approach.peer-reviewe
Neuro-Fuzzy Computing System with the Capacity of Implementation on Memristor-Crossbar and Optimization-Free Hardware Training
In this paper, first we present a new explanation for the relation between
logical circuits and artificial neural networks, logical circuits and fuzzy
logic, and artificial neural networks and fuzzy inference systems. Then, based
on these results, we propose a new neuro-fuzzy computing system which can
effectively be implemented on the memristor-crossbar structure. One important
feature of the proposed system is that its hardware can directly be trained
using the Hebbian learning rule and without the need to any optimization. The
system also has a very good capability to deal with huge number of input-out
training data without facing problems like overtraining.Comment: 16 pages, 11 images, submitted to IEEE Trans. on Fuzzy system
On the Suitability of the Bandler–Kohout Subproduct as an Inference Mechanism
Fuzzy relational inference (FRI) systems form an important part of approximate reasoning schemes using fuzzy sets. The compositional rule of inference (CRI), which was introduced by Zadeh, has attracted the most attention so far. In this paper, we show that the FRI scheme that is based on the Bandler-Kohout (BK) subproduct, along with a suitable realization of the fuzzy rules, possesses all the important properties that are cited in favor of using CRI, viz., equivalent and reasonable conditions for their solvability, their interpolative properties, and the preservation of the indistinguishability that may be inherent in the input fuzzy sets. Moreover, we show that under certain conditions, the equivalence of first-infer-then-aggregate (FITA) and first-aggregate-then-infer (FATI) inference strategies can be shown for the BK subproduct, much like in the case of CRI. Finally, by addressing the computational complexity that may exist in the BK subproduct, we suggest a hierarchical inferencing scheme. Thus, this paper shows that the BK-subproduct-based FRI is as effective and efficient as the CRI itself
Virasoro conformal blocks in closed form
Virasoro conformal blocks are fixed in principle by symmetry, but a
closed-form expression is unknown in the general case. In this work, we provide
three closed-form expansions for the four-point Virasoro blocks on the sphere,
for arbitrary operator dimensions and central charge . We do so by solving
known recursion relations. One representation is a sum over hypergeometric
global blocks, whose coefficients we provide at arbitrary level. Another is a
sum over semiclassical Virasoro blocks obtained in the limit in which two
external operator dimensions scale linearly with large . In both cases, the
expansion of the Virasoro blocks is easily extracted. We discuss
applications of these expansions to entanglement and thermality in conformal
field theories and particle scattering in three-dimensional quantum gravity.Comment: 24 pages + appendices. v2: added refs, minor corrections, improved
discussion of Sec.
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