This paper concerns the reconstruction of the absorption and scattering parameters in a time-dependent linear transport equation from full knowledge of the albedo operator at the boundary of a bounded domain of interest. We present optimal stability results on the reconstruction of the absorption and scattering parameters for a given error in the measured albedo operator.

the purpose of the present work is to establish a one-to-one correspondence between the family of interval type-2 fuzzy reflexive/tolerance approximation spaces and the family of interval type-2 fuzzy closure spaces.

in this paper, we introduce a satisfaction function (sf) to compare interval values on the basis oftseng and klein’s idea. the sf estimates the degree to which arithmetic comparisons between two intervalvalues are satisfied. then, we define two other functions called lower and upper sf based on the sf. weapply these functions in order to present a new interpretation of inequality constraints wi...

Interval-valued intuitionistic fuzzy sets (IVIFSs) are widely used to handle uncertainty and imprecision in decision making. However, in more complicated environment, it is difficult to express the uncertain information by an IVIFS with considering the decision-making preference. Hence, this paper proposes a group generalized interval-valued intuitionistic fuzzy soft set (G-GIVIFSS) which conta...

interval-valued intuitionistic fuzzy sets (ivifss) are widely used to handle uncertainty and imprecision in decision making. however, in more complicated environment, it is difficult to express the uncertain information by an ivifs with considering the decision-making preference. hence, this paper proposes a group generalized interval-valued intuitionistic fuzzy soft set (g-givifss) which conta...

Surface water resources, especially rivers, are at risk more than other sources for the reason of many uses. This study aims to examine some quality parameters of Karun river water in the Gotovand spatial range to Ahwaz during the years of 2010-2013.The data investigated in this study were obtained from the annual mean biochemical parameters measurements at nine sampling stations at the Water A...

For linear automatic control systems, many synthesis methods have been developed that exercise options of the controller structure and parameters to provide the stated requirements to the system quality. Coefficient methods can compute approximate, but rather simple, correlations that link the automatic control system quality indices of a random order and the desired controller parameters. One ...

Objective(s): Based on our previous studies about nano-ZnO effects on physiological behaviors, in this study we have investigated the effects of anxiolytic doses of nano-ZnO on electrocardiogram (ECG) sings changes in the restraint and non-restraint ovariectomized (OVX) female rats. Methods: Animals (160-180 g) were divided into: control (non-OVX + saline) and OVX groups that received: s...

In this paper, we re-visit the inference problem for interval identi…ed parameters originally studied in Imbens and Manski (2004) and later extended in Stoye (2007). We establish a new con…dence interval that is asymptotically valid under the same assumptions as in Stoye (2007). Like the con…dence interval of Stoye (2007), our new con…dence interval extends that of Imbens and Manski (2004) to a...