| The synergy of multiple formats of uncertainties poses a major challenge in the modelling of water resources and environmental management systems. The capacities of existing methods were inadequate for tackling such compound uncertainty and addressing the induced complexities in relevant decision-making processes. Advanced inexact programming techniques are thus desired for supporting water resources and environmental management under compound uncertainty.;The research has contributed to the advancement of knowledge and expansion of applications in the field of systems analysis under uncertainty. The major contributions of this research are as follows: (a) The set of four superiority-inferiority-based inexact programming approaches (i.e., SI-IFSP, SI-IFTMIP, SI-IFSQP and SI-IFSCCP) improved upon existing methods in terms of the systematic reflection of dual, multiple and four-layer uncertainties and the significant reduction of computational loads. (b) The set of two fuzzy evacuation management models (i.e., emoFEM and IFR-EM) pioneered in supporting emission-mitigation-oriented transportation planning with the aid of inexact programming approaches. (c) The set of four radial interval programming approaches (i.e., RILP, FRIP, RICCP and RIFPSI) represented novel attempts to tackle non-statistical uncertainties expressed as radial intervals, and to quantitatively manipulate risk-aversion levels of decision alternatives in the absence of probability distributions.;In this dissertation research, a series of inexact programming methodologies were developed and applied to address challenges in environmental decision-making under uncertainty. The following elements were included: (a) a superiority-inferiority-based inexact fuzzy-stochastic programming (SI-IFSP) model for waste management, (b) a superiority-inferiority-based inexact fuzzy two-stage mixed-integer programming (SI-IFTMIP) model for waste management, (c) a superiority-inferiority-based inexact fuzzy-stochastic quadratic programming (SI-IFSQP) model for water resources management, (d) a superiority-inferiority-based inexact fuzzy-stochastic chance-constrained programming (SI-IFSCCP) model for waste management, (e) an emission-mitigation-oriented fuzzy evacuation management (emoFEM) model for integrated transportation planning, (f) an interval-parameter fuzzy robust evacuation management (IFR-EM) model for air pollution mitigation in event-related evacuation management, (g) a radial interval linear programming (RILP) model for waste management, (h) a fuzzy radial interval programming (FRIP) model for waste management, (i) a radial interval chance-constrained programming (RICCP) model for agricultural water quality management, and (j) an integrated modelling framework based on a radial interval fuzzy programming approach with superiority-inferiority analysis (RIFPSI) for sustainable watershed development in the He River Basin, China. |
