The purpose of this work is to construct a type of proximity relations in ideally proximity spaces based on an ideal I and three types of the proximity δ. Examples are given for the constructed relation. The constructed γ -relation is a prebasic (resp., Ef, Lo) proximity if δ is the basic (resp., Ef, Lo)proximity. Properties and characterization of γ relation are obtained. Connections between t...

In this paper, we introduce generalized difference sequence spaces via ideal convergence, lacunary of χ sequence spaces over p−metric spaces defined by Musielak function, and examine the Musielak-Orlicz function which satisfies uniform ∆2 condition, and we also discuss some topological properties of the resulting spaces of χ with respect to ideal structures which is solid and monotone. Hence, g...

Every year a great amount of money is expended for the rehabilitation and reconstruction of roads and pavements in most countries. Besides, making an ideal decision on this based on the types of failures determined, takes too long. The rough-set theory is an e ective tool for the analysis of information systems in a Pavement Management System (PMS) database gained by both objective and subjecti...

for efficiency evaluation of some of the decision making units that have uncertain information, rough data envelopment analysis technique is used, which is derived from rough set theorem and data envelopment analysis (dea). in some situations rough data alter nonradially. to this end, this paper proposes additive rough–dea model and illustrates the proposed model by a numerical example.

  For efficiency evaluation of some of the Decision Making Units that have uncertain information, Rough Data Envelopment Analysis technique is used, which is derived from rough set theorem and Data Envelopment Analysis (DEA). In some situations rough data alter nonradially. To this end, this paper proposes additive rough–DEA model and illustrates the proposed model by a numerical example.

The interfacial impedance of polycrystalline solid electrodes in the absence of Faradaic reactions is never purely capacitive; the deviation from ideal capacitive behaviour is usually larger on rough electrodes than on smooth ones. We present qualitative experiments to demonstrate that the frequency dependence of capacitance on solid electrodes is due to the atomic scale inhomogeneities rather ...

Rough data envelopment analysis (RDEA) evaluates the performance of the decision making units (DMUs) under rough uncertainty assumption. In this paper, new discussion regarding RDEA is extended. The RSBM model is proposed by integrating SBM model and rough set theory. The process of reaching solution is presented and this model is applied to efficiency evaluation of the DMUs with uncertain ...

A rough surface can be a regular (engineered surface), a random (irregular rough surface), or an intermediate case (hierarchical rough surface). Whichever case is used for wettability, a truly superhydrophobic surface exhibits not only a high contact angle (>150 8) but also a low-contact-angle hysteresis (sliding angle). Quéré et al. theoretically described how contact-angle hysteresis generate...

The present paper aims to establish the local well-posedness of Euler's fluid equations on geometric rough paths. In particular, we consider Euler for incompressible flow an ideal whose Lagrangian transport velocity possesses additional rough-in-time, divergence-free vector field. recent work, have demonstrated that this system can be derived from Clebsch and Hamilton-Pontryagin variational pri...