Uncertainty Operators in a Many-valued Logic

Herman Akdag (1) , Isis Truck (2)

1 MALIRE - Machine Learning and Information Retrieval
2 LIASD - Laboratoire d'Informatique Avancée de Saint-Denis

This article investigates different tools for knowledge representation and modelling in decision making problems. In this variety of AI systems the experts' knowledge is often heterogeneous, i.e. is expressed in many forms: numerical, interval-valued, symbolic, linguistic, etc. Linguistic concepts (adverbs, sentences, sets of words...) are sometimes more efficient in many expertise domains rather than precise, interval-valued or fuzzy numbers. In these cases, the nature of the information is qualitative and the use of such concepts is appropriate and usual. Indeed, in the case of fuzzy logic for example, data are represented through fuzzy functions that allow an infinite number of truth values between 0 and 1. Instead, it can be more appropriate to use a finite number of qualitative symbols because, among other reasons, any arbitrary fuzzification becomes useless; because an approximation will be needed at the end anyway; etc.

Domains: Artificial Intelligence [cs.AI]

Herman Akdag, Isis Truck. Uncertainty Operators in a Many-valued Logic. Encyclopedia of Data Warehousing and Mining, Second Edition, Information Science Reference, pp.1997--2003, 2009, ⟨10.4018/978-1-60566-010-3.ch305⟩. ⟨hal-00656876⟩