About the Lp space of intuitionistic fuzzy observables

Abstract

The aim of this paper is to define an $L^p$ space of intuitionistic fuzzy observables. We work in an intuitionistic fuzzy space $({\mathcal F}, {\bf m})$ with product, where $\mathcal F$ is a family of intuitionistic fuzzy events and ${\bf m}$ is an intuitionistic fuzzy state. We prove that the space $L^p$ with corresponding intuitionistic fuzzy pseudometric $\rho_{IF}$ is a pseudometric space.