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Amapping T from the set X into F ( Y ) is said to be a fuzzy mapping.
A mapping T is said to be a fuzzy mapping if T is a mapping from X into F ( Y ).
Let ((X,d)) be a complete metric space and T be a fuzzy mapping from X into (W(X)) with (x_{0}in X).
Corollary 3.5 Let ( X, d ) be a left K-sequentially complete quasi-pseudo-metric space and T : X → W ∗ ( X ) be a fuzzy mapping.
A mapping (F:mathfrak{U}rightarrowmathfrak{V}) is said to be a fuzzy mapping, i.e., (F(mu) inmathfrak{V}) for each (muinmathfrak {U}).
Let ( X, d ) be a complete metric space and F be a fuzzy mapping from X into W ( X ) and x 0 ∈ X.
Similar(43)
Let be a fuzzy map on.
For each, let be a fuzzy map on.
If is a fuzzy mapping over, then (denoted by ) is fuzzy set on, and is the membership degree of the point in.
(T:X to F ( Y )) is a fuzzy mapping from an arbitrary set X to (F ( Y )), which is a fuzzy subset in (X times Y), and the grade of membership of y in (T ( x )) is (T ( x ) ( y )).
If is a fuzzy mapping, then the set, for, is a fuzzy set in (in the sequel we denote by ) and, for each is the degree of membership of in.
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