Fuzzy number

TL;DR: The definition of gradation function is modified and subspace of fuzzy topological spaces, gradation preserving maps and category of fuzzyTopological spaces and gradation preserves maps are studied.

TL;DR: It is shown that the generalized notion (probabilistic approximate classification) of rough sets can be conveniently described by the concept of fuzzy sets and argued that there does not exist a universal definition for the fuzzy intersection (union) operation.

TL;DR: This paper proposes a new supervised self-tuning fuzzy modeling, which consist of some membership function expressed by the radial basis function with insensitive region with descent method, which is carried out by the genetic algorithms.

TL;DR: This paper proves that the notions which are introduced are good extensions and it is proved that the category of uniform spaces is nicely injected in the categories of fuzzy uniform spaces.

TL;DR: An alternative decision-theoretic formulation in which the required thresholds are computed by minimizing decision cost is introduced, to gain further insights into three-way approximations of fuzzy sets.