Update: Since this article was published, it has emerged that there was a prior solution to the particular Erdos problem solved here by Davenport and Erdős (1936) and Rogers (in Halberstam-Roth (1966) ...

Abstract: Computing the centroid and performing type-reduction for type-2 fuzzy sets and systems are operations that must be taken into consideration. Karnik-Mendel (KM) algorithms are the standard ...

My best friend tests his 5 year old basic math questions from store-bought material which is good for one time use (his son memorizes the answers) …. but he wants to give him more practice.