We show that almost all results proved in many papers about fuzzy algebras can be proved uniformly and immediately by using so-called ”Transfer Principle”.

Nature-inspired methodologies are currently among the most powerful algorithms for optimization problems. This paper presents a recent nature-inspired algorithm named Firefly algorithm (FA) for automatically evolving a fuzzy model from numerical data. FA is a meta-heuristic inspired by the flashing behavior of fireflies. The rate and the rhythmic flash, and the amount of time form part of the s...

Control charts are one of the most important tools in statistical process control that lead to improve quality processes and ensure required quality levels. In traditional control charts, all data should be exactly known, whereas there are many quality characteristics that cannot be expressed in numerical scale, such as characteristics for appearance, softness, and color. Fuzzy sets theory is p...

It is critical to develop and apply powerful statistical tests for genetic association studies due to typically weak associations with complex human diseases or phenotypes. For population-based case-control studies with unphased multilocus genotype data, most of the existing methods are based on comparing genotype scores, e.g. allele frequencies, between the case and control groups. Another cla...

We consider the problem of hypotheses testing with the basic simple hypothesis: observed sequence of points corresponds to stationary Poisson process with known intensity. The alternatives are stationary self-exciting point processes. We consider one-sided parametric and one-sided nonparametric composite alternatives and construct locally asymptotically uniformly most powerful tests. The result...