Neutron diffusion equation is being used to estimate the safety margin of a neutronic parameter. The assessment of safety margin requires variability and uncertainty analysis. When the variation of sensitive parameter is varying in an imprecise manner, the evaluation of safety margin is very difficult using probabilistic analysis. However, fuzzy set theory based approach may be used to estimate...

Data envelopment analysis (DEA) as introduced by Charnes et al [3] is a linear programming technique that has widely been used to evaluate the relative efficiency of a set of homogenous decision making units (DMUs). In many real applications, the input-output variables cannot be precisely measured. This is particularly important in assessing efficiency of DMUs using DEA, since the efficiency sc...

In 2014, some scholars showed that every 2-connected claw-free graph G with independence number α(G)≤3 is Hamiltonian one exception of family graphs. If a nontrivial path contains only internal vertices degree two and end not two, then we call it branch. A set S branches called branch cut if delete all edges leading to more components than G. We use bond denote minimal cut. branch-bond has an o...

We have started a search for High Redshift Radio Galaxies (HZRGs) in an area covering 7 sr by selecting a sample of Ultra Steep Spectrum (USS) sources with a low flux density cut-off S1400 > 10 mJy and a steep spectral index cut-off of α < −1.3 (S ∝ ν) from the WENSS, NVSS and TEXAS surveys. Our first results for 27 sources show that we are almost twice as effective in finding HZRGs than than s...

This study examined the energy use pattern of poultry for egg production farms of Iran and ranked the selected farmers using fuzzy data envelopment analysis (FDEA) from the viewpoint of energy efficiency. Since data used in our study were not measured precisely, fuzzy forms of them could help us to reach the ideal situations. Hence, the conventional data envelopment analysis (DEA) was remod...

This paper aims to establish the relationship between two apparent disparate problems: (i) the aggregation of uncertain information modelled by type-1 fuzzy sets via OWA mechanism, and (ii) the computation of the centroid of type-2 fuzzy sets. In order to cut down the computational complexity of the direct approach to performing type-1 OWA operation, the α-level approach to type-1 OWA operators...

2 How to Create Instances of Fuzzy Numbers 3 2.1 Arbitrary Fuzzy Numbers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 2.1.1 Definition by Side Functions . . . . . . . . . . . . . . . . . . . . . . . . . 3 2.1.2 Definition by α-cut Bounds . . . . . . . . . . . . . . . . . . . . . . . . . . 5 2.1.3 Definition with Generating Functions Omitted: Shadowed Sets . . . . . . 6 2.2 Us...

This paper introduces a new method of fuzzy semisupervised hierarchical clustering using fuzzy instance level constraints. It introduces the concepts of fuzzy must-link and fuzzy cannot-link constraints and use them to find the optimum α-cut of a dendrogram. This method is used to approach the problem of classifying scientific publications in web digital libraries. It is tested on real data fro...