Constructing of Some Special Maps on Orthoalgebra

Abstract

Abstract This study concerned with a type of generalization of some algebraical statistics concepts on one of the quantum algebraic spaces, which is known by orthoalgebra (briefly OA). The main proposal consists of a definition of a special function called a bivariate qausi-copula which will be defined on OA. Also, this study focuses on illustrating maps that can be used to find solutions that deals with non-compatible problem, which does not exist on Boolean algebra. Several proofs, properties, and results have been shown with respect to this generalization. Afterwards, few examples have been illustrated to explain the situation related to compatibility and non-compatibility notion. Finally, we have presented conclusions that summarize this work and present the highlights within this study.