The room temperature is hot. Here the hot (use of linguistic variable is used) can be represented by _______ A. Fuzzy Set B. Crisp Set C. Fuzzy & Crisp Set D. None of the mentioned

The correct answer is A. Fuzzy Set.

A fuzzy set is a set that contains elements with degrees of membership. In other words, an element can be a member of a fuzzy set to a certain degree. For example, the set of “hot” temperatures might include temperatures that are “very hot”, “hot”, “warm”, “cool”, and “cold”. Each of these temperatures would have a different degree of membership in the set of “hot” temperatures.

A crisp set, on the other hand,

is a set that contains elements that are either members of the set or not members of the set. There is no such thing as a degree of membership in a crisp set. For example, the set of “even numbers” is a crisp set. Every number is either even or odd, and there is no such thing as a number that is “slightly even” or “mostly even”.

The answer D, “None of the mentioned”, is incorrect because the word “hot” is a linguistic variable that can be represented by a fuzzy set.

I hope this helps! Let me know if you have any other questions.