Rank Ordering Method of Assigning Membership Values to Elements

Rank Ordering :-

In Rank Ordering method preferences are assigned by a single individual, committee, a poll and other opinion methods can be used to assign membership values to fuzzy variables. Here preference is determined by pairwise comparisons and these are used to determine ordering of the membership.

For example let’s suppose 1000 people respond to a questionnaire and their pairwise preferences among the colors red, orange, yellow and blue is given as below:

Pairwise Preferences Among Colors

The color columns in the table represents an anti-symmetric matrix. Such a matrix is used to relate a “reciprocal relation”.