Evaluating Mechanism and Axiomatic Processes under Sustainability and Multiple Criteria Fuzzy Behavior

-Due to the rapid global environmental changes, sustainability-related issues have garnered significant attention from various stakeholders. Addressing how to reduce and balance damages caused by various factors is an important focus of sustainability-related research. To this end, this paper first proposes several evaluating mechanisms for reducing and balancing damages under multiple criteria fuzzy behavior, and then adopts some axioms to analyze these mechanisms concurrently in terms of mathematical correctness and practical application by means of axiomatic processes. In order to modify the discrimination and relative effects caused by participants and its energy levels respectively, two weighted evaluating mechanisms and corresponding characterizations are also introduced. Besides, some more interpretations for these axioms and relative axiomatic processes are discussed throughout this paper.