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Write Extension Principle and explain with an example. How do you perform fuzzy addition using the extension principle?
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Solution:

Fuzzy addition Principle:

There ar two types of fuzzy addition.

(I) Projection:

The process of converting fury relation to a fuzzy set is known as projection.

$ \begin{aligned}\\ &\text { Projection on } A=\left\{\frac{0.4}{a_1}+\frac{1}{a_2}+\frac{1}{a_3}\right\} \\\\ &\text { Propection on } B=\left\{\frac{1}{b_1}+\frac{03}{b_2}+\frac{0.8}{b_3}+\frac{1}{b^4}\right\} \\\\ & \end{aligned}\\ $

2) Cylindrical Exclusion:

$ …

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