in the mathematical analysis, there are some theorems and definitions that established for both real and fuzzy numbers. in this study, we try to prove  bernoulli's inequality in fuzzy real numbers with some of its applications. also, we prove two other theorems in fuzzy real numbers which are proved before, for real numbers.

BACKGROUND Digital PCR (dPCR) is an increasingly popular manifestation of PCR that offers a number of unique advantages when applied to preclinical research, particularly when used to detect rare mutations and in the precise quantification of nucleic acids. As is common with many new research methods, the application of dPCR to potential clinical scenarios is also being increasingly described. ...

Bicycle sharing programs have emerged as a global trend as an affordable, convenient, and sustainable travel option with various benefits. One of the benefits of such programs is touted to be their positive impacts on transit ridership by extending transit catchment area and providing much needed last-mile connection. Thus, locating bicycle sharing programs in transit station areas is believed ...

Building a probabilistic network for a real-life domain of application is a hard and time-consuming process, which is generally performed with the help of domain experts. As the scope and, hence, the size and complexity of networks are increasing, the need for proper documentation of the elicited domain knowledge becomes apparent. To study the usefulness of ontologies for this purpose, we const...