— Zadeh proposed the paradigm of computing with words (CWW). We have proposed a CWW architecture for making subjective judgments, called a Perceptual Computer (PerC). Because words mean different things to different people, the Per-C uses interval type-2 fuzzy sets (IT2 FSs). The encoder of the Per-C transforms words, in an application-dependent wordcodebook, into IT2 FSs. The central element of the Per-C is the CWW engine, which maps IT2 FSs to IT2 FSs. Several CWW engines have appeared in the literature, e.g., fuzzy IFTHEN rules to perform inference and/or reasoning based on Mamdani or TSK models, linguistic weighted averages (LWAs) to aggregate linguistic data, and linguistic summarization to perform human friendly data mining. In this paper a new CWW engine–Perceptual Reasoning (PR)–is proposed. It also uses fuzzy IF-THEN rules; however, unlike a traditional Mamdani or TSK model, in which fired rules are combined using the union, or addition, or during the defuzzification p...
Jerry M. Mendel, Dongrui Wu