The relation between a linguistic value and its meaning is one-to-many rather than one-to-one. How to precisiate of even fuzzy propositions or rules remain open problems in computing with words ( <italic xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">CW</i> ). In the paper, according describes class objects unsharp boundary, label universe discourse proposed formalize possible position described by via group subjects' commonsense cognition. Then...

Let $L$ be the infinitesimal generator of an analytic semigroup on $L^2({\mathbb R}^n)$ with Gaussian kernel bounds, and let $L^{-\alpha /2}$ fractional integrals for $0<\alpha < n$. For a BMO function $b(x)$ ${\mathbb R}^n$, we show boundedness commutators $[b, L^{-\alpha /2}](f)(x)= b(x)L^{-\alpha /2}(f)(x)-L^{-\alpha /2}(bf)(x)$ from $L^p({\mathbb to $L^q({\mathbb R}^n)$, where $1< p \tfrac {n}{\alpha }, \frac {1}{q}=\frac {1}{p}-\frac {\alpha }{n}$. Our result this still holds when R}^n$...

Flow and transport in subsurface formations are affected by geological variability over multiple length scales. In this work, we develop a local-global two-phase upscaling approach to generate upscaled functions. The of multiphase flow parameters is challenging, due their strong dependency on global effects. directly incorporates coarse-scale solutions into local calculations. It effectively captures the impact flow, while avoiding fine-scale simulations. boundary conditions updated with...

Constructing and managing multi-granular linguistic values are more important for decision making in big data or social computing environments, variable is the fundamental of constructing values. Based on analysis drawbacks symbolic fuzzy set methods processing information, a value expressed by formal concept, which constructed term it's sets, i.e., intension (name) extension (meaning) concept sets. A new translation based sets provided to obtain 2-tuple concepts, continuous concepts. By...

Let $L$ be a second-order elliptic partial differential operator of non-divergence form acting on ${\bf R^n}$ with bounded coefficients. We show that for each $1 < p_0 <2, L$ has $H_{\infty}$-functional calculus $L^p({\bf R^n})$ $p_0 <p <\infty$ if the $BMO$ norm coefficients is sufficiently small.

Effluent ammonia-nitrogen (NH3-N), chemical oxygen demand (COD) and total nitrogen (TN) removals are the most common environmental process performance indicator for all types of wastewater treatment plants (WWTPs). In this paper, a soft computing approach based on back propagation (BP) neural networks fuzzy-rough sets (FR-BP) has been applied forecasting effluent NH3-N, COD TN concentration real WWTP, in which theory is employed to perform input selection network can reduce influence due...

As an extension of classical fuzzy set, intuitionistic set (IFS) has been widely utilized in decision making. Based on IFS, value (IFV) and linguistic (LIFS) have also proposed to represent uncertain assessments alternatives different environment. Theoretically, IFV, IFS or LIFS own themselves processing methods However, they may be the same problem, i.e., multi-decision makers provide IFVs, IFSs LIFSs problem. In such case, significant challenge is unify making matrices. paper, novel...

Interior decoration design can refine its functions, improve environmental quality, spatial form, and is closely related to buildings, structures, equipment, etc. The quality of interior directly affects a series issues such as safety, cost savings, protection, aesthetic practicality the project, inspection control project in advance, reducing occurrence safety accidents during construction use, And it plays proactive role saving protection projects, also provide reasonable suggestions terms...

In the covering information system with decision-making (CISD), τ-lower and upper approximation operators are introduced, some corresponding properties discussed. This paper also explores reductions of a which is based on new concept degree approximate dependency, proposes reduction algorithm importance degree. After reduction, decision tree generated rules extracted from tree. Finally, above mentioned method demonstrated by an example in medical diagnosis.

Abstract The notable characteristic of large-scale linguistic decision-making problems is that there are so many decision makers who provide assessments by using fuzzy representation models. In real-world applications, terms mean different things for people, and based on models may be simultaneous in the same problems. To this end, a novel method voting model proposed paper to deal with multi-linguistic provided makers. process, evaluation-based defined matrix designed represent models,...

In this paper, we propose a modified adaptive PCA method for process monitoring. The basic idea of our approach is to use the adaptively extract essential feature components that drive and combine them with monitoring techniques. Combined Index chart, which puts SPE statistic T <sup xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">2</sup> together, presented as online chart then contribution plot statistical quality also considered fault...