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An algorithm to determine fuzzy distance measure

Fuzzy distance measure is an important aspect of decision-making in a fuzzy environment. Since their inception 1965, many researchers have proposed many methods for fuzzy distance measure. However, there is no method, which gives a satisfactory result to all situations. In a paper by Sadi-Nezhad et al. [Fuzzy distance of triangular fuzzy numbers, Journal of Intelligent and Fuzzy Systems (2012)], a fuzzy distance measure is proposed for two triangular fuzzy numbers based on left and right points. In the proposed method the distance between A and A is not zero and the result is unreasonable. In this paper, we present a new algorithm to determine distance between two fuzzy numbers. Moreover, it will be developed in n-dimension spaces. Finally, some numerical examples demonstrate the advantages of the improved method.