Article ID Journal Published Year Pages File Type
390751 Fuzzy Sets and Systems 2006 13 Pages PDF
Abstract

Connectedness, ultra-F1 connectedness, ultra-F2 connectedness and strong F2 connectedness are defined for an arbitrary L-subset, their properties are studied, and comparisons with some existing fuzzy connectedness notions (such as strong F1 connectedness, Lowen's connectedness, Rodabaugh's connectedness, Zhao's connectedness, etc.) are discussed in detail. Some standard examples of L-topological spaces or L-cotopological spaces which satisfy our new connectedness axioms are also given.

Related Topics
Physical Sciences and Engineering Computer Science Artificial Intelligence