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Fuzzy Set theory defines fuzzy operators. Choose the fuzzy operators from the following.
In a group, 29 people like to watch movies, 35 people like to watch web series and 34 people like to watch YouTube videos. Also, 13 people like to watch only movies, 21 people like to watch only web series and 15 people like to watch only YouTube videos. 4 of them like to watch only movies and web series. 3 of them like to watch movies, web series and YouTube videos as well. How many people like to watch both movies and YouTube videos?
Fact 1: All dogs like to run.
Fact 2: Some dogs like to swim.
Fact 3: Some dogs look like their masters.

If the first three statements are facts, which of the following statements must also be a fact?
I: All dogs who like to swim look like their masters.
II: Dogs who like to swim also like to run.
III: Dogs who like to run do not look like their masters.
There are 90 people in a company, they all like at least one of the drinks namely tea, coffee, and milk. Further it is known that, 20 people like all the three drinks. 30 people like both coffee and milk, 25 people like both tea and milk and 35 people like both tea and coffee. A total of 60 people like tea and a total of 40 people like milk. What is the number of people who like only coffee?
If, f: A → B and g: B → C. Then which of the following statements are true: 1. f o g exists and it is a function on B. 2. g o f exists and it is function from A to C. 3. f o g does not exists. 4. g o f does not exists.
In a group, 22 women like Red color, 20 women like the blue color and 19 women like Yellow color. Among them, 5 women like both Red and Blue color, 5 women like both Yellow and Blue color and 9 women like both Red and Yellow color. 14 women like only Blue color and 4 women all the three colors. Find the total number of women who like only Red color.
In a group, 22 women like Red colour, 20 women like blue colour and 19 women like Yellow colour. Among them, 5 women like both Red and Blue colour, 5 women like both Yellow and Blue colour and 9 women like both Red and Yellow colour. 14 women like only Blue color and 4 women all the three colors. Find the total number of women who like only Red color.
A survey of 100 candidates with respect to their choice of ice cream flavors - vanilla, chocolate and strawberry - produced the following information.  50 candidates like vanilla, 28 like chocolate, 43 like strawberry, 13 like vanilla and chocolate, 11 like chocolate and strawberry, 12 like strawberry and vanilla, and 5 like all the three flavours.  How many candidates like chocolate and strawberry but not vanilla?
In a group 40% people like only milk, 20% like only tea and 20% like only coffee, if 2% like all the three drinks and 8% like both milk and coffee, 7% like both coffee and tea and 9% like both tea and milk, then how many percent of people like only two drinks?
The diagram shows the survey on a sample of 197 persons with reference to their preferences for three seasons that is winter, summer, and spring. 120 persons like spring season, 100 like Winter Season, and 90 like summer season. 50 persons like both spring and winter season only, 25 like both summer and winter season only, and 18 like both spring and summer season only. 10 persons like all three seasons. How many persons like only the winter season?