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Future power distribution networks are characterized by changes of uncertain behavior due to the integration of distributed generators (DG) and prosumers, and the design of meter deployment is more critical for the safe and effective network monitoring system. The use of any available and the newly installed metering devices such as micro phasor measurement units (μPMU) and smart meters (SM), could offer much accurate and real-time measuring data. This paper investigates a novel meter deployment method for the distribution network planning, with the objective of ensuring the quality of the state estimation (SE) under consideration of measurement uncertainty, while keeping the total amount of heterogeneous meters at a minimum. In particular, the measurement uncertainty in the SE is depicted via the interval arithmetic (IA) theory, which could offer advantageous over the existing probabilistic and fuzzy approaches. The case studies and comparison results based on an actual distribution network demonstrate the feasibility of the proposed IA-based SE algorithm and the meter deployment method.