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Given a fuzzy logic system, how can we determine the membership functions that will result in the best performance? If we constrain the membership functions to a speci ̄c shape (e.g., triangles or trapezoids) then each membership function can be parameterized by a few variables and the membership optimization problem can be reduced to a parameter optimization problem. The parameter optimization ...

Data envelopment analysis (DEA) is a method to evaluate the relative efficiency of decision making units (DMUs). In this method, the issue has always been to determine a set of weights for each DMU which often caused many problems. Since the DEA models also have the multi-objective linear programming (MOLP) problems nature, a rational relationship can be established between MOLP and DEA problem...

Digital image processing is widely used by many research oriented fields. Edge detection method is one of the important techniques in image segmentation, which is used to find out exact position of objects in the given image. Edge detection can be achieved by various approaches such as Canny, Prewitt, Sobel, etc. Fuzzy Logic techniques have been used in image understanding applications such as ...