Generalized Distance and an Example of Fuzzy Metric
نویسندگان
چکیده
In this paper we introduce a new notion of generalized metric, called i-metric. This generalization is made by changing the valuation space of the distance function. The result is an interesting distance function for the set of fuzzy numbers of Interval Type with non negative fuzzy numbers as values. This example of i-metric generates a topology in a very natural way, based on open balls. We prove that this topology is Hausdorff, regular but not metrizable(generated by an usual metric).
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