In this research we focus on dealing with fuzzy multivariate relations and how we could perform fuzzy qualitative simulation with models containing such relations. To achieve this, we extended Morven, a fuzzy qualitative reasoning framework, and proposed novel types of constraints for the framework. We first introduced fuzzy multivariate function (FMF) constraints, and presented their corresponding constraints in higher differential planes of a Morven model. We then implemented the fuzzy multivariate monotonicity (FMM) relations by FMF constraints and MM_add constraints, another kind of constraints we proposed for Morven. In addition, we employed alpha-cut to determine the "strictness" of qualitative signs in the MM_add constraints. Finally, proof-of-concept experiments were performed to validate the proposed constraints, and both fuzzy and non-fuzzy situations were considered in these experiments.
Pang, W., & Coghill, G. M. (2014). Fuzzy qualitative simulation with multivariate constraints. In 2014 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE 2014) (pp. 575-582). IEEE Press. https://doi.org/10.1109/FUZZ-IEEE.2014.6891702