Fuzzy numbers with a unimodal membership function are presented, which have found application in the fuzzy analysis of such subject fields as ecology, chemical technology. In this article, set an special type is considered. Two binary operations (addition and multiplication) given over set, formulas for calculation obtained some properties algebra investigated. It proved that addition multiplic...

Statistical functionals are called elicitable if there exists a loss or scoring function under which the functional is optimal point forecast in expectation. While mean and quantiles elicitable, it has been shown Heinrich (2014) that mode cannot be elicited true distribution can follow any Lebesgue density. We strengthen this result substantially, showing with continuous density unique local ma...