Fuzzy Sets UGC

Question 1

Consider the following methods: M​ 1 ​ : mean of maximum M​ 2​ : Centre of area M​ 3​ : Height method Which of the following is/are defuzzification method(s)?

• Only M1
• Only M1 and M2
• Only M2 and M3
• All M1, M2 and M3

Question 2

A fuzzy conjunction operator denoted as t(x,y) and a fuzzy disjunction operator denoted as s(x, y) form a dual pair if they satisfy the condition:

• t(x,y)=1−s(x,y)
• t(x,y)=s(1−x,1−y)
• t(x,y)=1−s(1−x,1−y)
• t(x,y)=s(1+x,1+y)