In this paper we describe a multimedia application called Computer Aided Facial Image Inferencing and Retrieval (CAFIIR) system. This system uses both Case Based Reasoning and Information Retrieval Techniques. In CAFIIR we use fuzzy measures to represent characteristic features of a human face. This paper describes a method designed to implement inferencing using fuzzy measures. It also describes how CAFIIR handles CHFs values that may span across two or more Fuzzy sets. The paper illustrates how Dempster Sharer theory can be useful for extracting weights for individual characteristic features when weights are given for combined features. Some parts of the application have been implemented while others are still under implementation.