Question

the menbership function of fuzzy set not always described by​

Answer 1

Answer:

Degrees of truth are often confused with probabilities, although they are conceptually distinct, because fuzzy truth represents membership in vaguely defined sets, not likelihood of some event or condition. Membership functions were introduced by Zadeh in the first paper on fuzzy sets (1965).

Answer 2

Answer:

Degrees of truth are often confused with probabilities, although they are conceptually distinct, because fuzzy truth represents membership in vaguely defined sets, not likelihood of some event or condition.

Explanation:

Membership functions were introduced by Zadeh in the first paper on fuzzy sets.

We know that fuzzy logic is not logic that is fuzzy but logic that is used to describe fuzziness. This fuzziness is best characterized by its membership function. In other words, we can say that membership function represents the degree of truth in fuzzy logic.

Membership Function

Following are a few important points relating to the membership function -

1. Membership functions were first introduced in 1965 by Lofti A. Zadeh in his first research paper “fuzzy sets”.
2. Membership functions characterize fuzziness (i.e., all the information in fuzzy set), whether the elements in fuzzy sets are discrete or continuous.
3. Membership functions can be defined as a technique to solve practical problems by experience rather than knowledge.
4. Membership functions are represented by graphical forms.
5. Rules for defining fuzziness are fuzzy too.