The principles of sustainability have become particularly important in the construction, real estate maintenance sector, and all areas of life in recent years. The one of the major problem of urban territories that domestic and construction waste of generated products cannot be removed automatically. The above necessity induces the demand of systems and technologies for waste life cycle and proper disposal development. Siting of the waste incineration plant is a complex process, which includes all factors of sustainability principles. The selection of the construction area is a complex problem due to the existence of different tangible and intangible factors and the multiple alternatives available. Multicriteria decision-making methods (MCDM) present powerful and flexible techniques for the solution of many sustainability problems. In this paper, we propose a new extension of WASPAS method, namely WASPAS-SVNS. This extension is realized in the framework of the single-valued neutrosophic set that enables to represent and model the indeterminacy explicitly and the functions of the truth-membership, the indeterminacy-membership and the falsity-membership are not related to each other. The paper deals with the solution of the waste incineration plant siting problem due to the requirements of sustainability factors.