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In this paper, we introduce a fuzzy trapezoidal approximation using the metric (distance) between two fuzzy numbers. An application of this approximation is also investigated. 2003 Elsevier Inc. All rights reserved.
Applications of fuzzy logic and fuzzy mathematics are increasing widely all around the world. Thus working with fuzzy numbers are very important. In many applications of fuzzy mathematics we need (or it is better) to work with the same fuzzy numbers. In this work we approximate parametric fuzzy numbers with polynomial parametric fuzzy numbers. 2005 Elsevier… (More)
We propose a new approach to assigning distance between fuzzy numbers. A pseudo-metric on the set of fuzzy numbers and a metric on the set of trapezoidal fuzzy numbers are described. The regular reducing functions and the Hausdorff metric are used to define the metric. Using this metric, we can approximate an arbitrary generalized left right fuzzy number… (More)