Representing Incomplete Knowledge about Fuzzy Sets

This paper deals with interval-valued fuzzy sets and I-fuzzy sets, Atanassov's intuitionistic fuzzy sets. They are treated in a systematic way as two, formally equivalent, natural extensions of methods of representing incomplete knowledge about sets. We define and investigate triangular norm-based areas of uncertainty of interval-valued fuzzy sets and I-fuzzy sets, and study some properties of related uncertainty degrees of their elements.

• Type: Conference
• Year: 2007
• Where: EUSFLAT
• Authors: Maciej Wygralak
• Keywords: EUSFLAT 2007, Fuzzy Sets, Interval-valued Fuzzy Sets, Intuitionistic Fuzzy Sets