When designing a radar system for imaging purposes, we frequently need to set priorities in accomplishing certain features. Some features that need to be traded off against each other are as follows:

9.6. When designing a radar system for imaging purposes, we frequently need to set priorities in accomplishing certain features. Some features that need to be traded off against each other are as follows: 1. the ability to penetrate foliage and even the ground to some depth; 2. the resolution of the resulting radar image; 3. the size of the antenna required for the radar system; 4. the amount of power required to operate at a given frequency. It is useful to determine the order of importance of these features in selecting an operating frequency for the radar. Let x represent penetration; x2, resolution; x3, antenna size; and x4, power. A crisp ordering will have trouble resolving the impor- tance of penetration compared to resolution, resolution compared to antenna size, and antenna size compared to penetration. These are entities that can be compared only in a very subjective manner, ideal for fuzzy techniques and difficult for crisp technique:s Let fx, (xj) be the relative importance of feature xj with respect to xi. The com- parisons Jxi(xj) are subjectively assigned as follows: r3 0.5 0.7 0.9 0.8 0.6 0.5 0.9 0.3 0.8 0.2 0.5 0.3 Develop a comparison matrix and determine the overall ranking of the importance of each feature