Product operation and joint interval valued observable

Document Type : Research Paper


Mathematical Institute, Slovak Academy of Sciences, Stefanikova 49, 814 73 Bratislava, Slovakia


The aim of this paper is to define the product
operation on a family of interval valued events and the notion of
joint interval valued observable. We show the connection between
product operations for interval valued events and intuitionistic
fuzzy events, too. We display the relation between joint interval
valued observable and joint intuitionistic fuzzy observable. We
define a function of several interval valued observables with help
of a Borel function and a joint interval valued observable, too.