✍ Scribed by Vladimı́r Janiš
No coin nor oath required. For personal study only.
In (Fuzzy Sets and Systems 133 (2) ( 2003)) the authors claim that the transitivity condition usually used in the deÿnition of a fuzzy equivalence of fuzzy equality is not suitable in a lot of real situations. The fuzzy relation of a resemblance in a metric space is deÿned in a di erent way in (Fuzzy Sets and Systems 133 (2) ( 2003)). The present paper shows that the same relation (called fuzzy nearness) as in (Fuzzy Sets and Systems 133 (2) ( 2003)) has been used by several authors in several works to study mainly properties of real function in more general context. A brief review of a variety of results achieved using the relation of a fuzzy nearness is provided.
📜 SIMILAR VOLUMES
An axiomatic constructive development of the theory of nearness and apartness of a point and a set is introduced as a setting for topology.