Sentence examples for a fuzzy point from inspiring English sources

Definition 2.4 Let x α be a fuzzy point of X.

The idea of quasi-coincidence of a fuzzy point with a fuzzy set played a vital role in generating different types of fuzzy subgroups.

The order of a fuzzy point x α in U is the number of elements of U which are quasi-coincident with x α.

A fuzzy point (x_{alpha}) in X is called a fixed fuzzy point of the fuzzy mapping T if ({x_{alpha}}subset Tx).

Murali [3] proposed the definition of a fuzzy point belonging to a fuzzy subset under a natural equivalence on fuzzy subset.

A fuzzy point x α in X is called a coincidence fuzzy point of the hybrid pair { F, g } if ( g x ) α ⊂ F x, that is, ( F x ) g x ≥ α or g x ∈ ( F x ) α.

As an application, a coincidence fuzzy point and a common fixed fuzzy point of the hybrid pair of a single-valued self-mapping and a fuzzy mapping are obtained.

Since A has a fixed fuzzy point u α ⊂ A u, we get u ∈ ( A u ) α.

Hence, A satisfies (2) and all the conditions of Theorem 4. Using Theorem 4 with a mapping A, it follows that A has a fixed fuzzy point u ∈ g ( E ).

As a continuation of[2], in this chapter, we introduce the notion of a quasi a-ideal and a quasi q-ideal in the set of all fuzzy points of a fixed BCI-algebra.

Now, it is left to prove that F and g have a coincidence fuzzy point.