Circumcenter of centroid in ranking fuzzy number: A case of generalized trapezoidal fuzzy numbers

Many approaches have been proposed to quest appropriate methods in ranking fuzzy numbers. Due to the flexibility of fuzzy numbers, most of these methods are not able to calculate all kinds of ranking fuzzy numbers and some of them give inconsistent and counter intuitive results. As a result, the final ranking sometimes fails to discriminate fuzzy numbers effectively. This paper aims to propose a new method for ranking fuzzy numbers using the circumcenter of centroid with the hope to reduce the problem of indiscriminate in the ranking. The new method mainly considers the distance, the spread, the height and the area of fuzzy numbers to compute the ranking order. The calculation for the new method is derived from generalized trapezoidal fuzzy numbers and circumcenter concepts. A numerical example is given to illustrate the calculation more explicitly.

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