A parameterized metric between fuzzy numbers and its parameter interpretation

A parameterized L2 metric between fuzzy numbers and its parameter interpretation

When handling fuzzy number data, it is a common practice to make use of a metric to quantify distances between fuzzy numbers. Several metrics have been suggested in the literature for this purpose. When statistically analyzing fuzzy number-valued data, L metrics become especially useful. This paper introduces a new family of generalized L metrics which take into account key features of the invo...

On The Ranking Fuzzy Numbers Using Weighted Metric

A new similarity measure between type-2 fuzzy numbers and fuzzy risk analysis

In this paper, we present a revised similarity measure based onChen-and-Chen's similarity measure for fuzzy risk analysis. The revisedsimilarity measure uses the corrected formulae to calculate the centre ofgravity points, therefore it is more  effective than the Chen-and-Chen'smethod. The revised similarity measure can overcome the drawbacks of theexisting methods. We have also proposed a new ...

Order intervals in the metric space of fuzzy numbers

In this paper, we introduce a function in order to measure the distancebetween two order intervals of fuzzy numbers, and show that this function isa metric. We investigate some properties of this metric, and finally presentan application. We think that this study could provide a more generalframework for researchers studying on interval analysis, fuzzy analysis andfuzzy decision making.

Fuzzy parameterized fuzzy soft set theory and its applications

In this work, we give definition of fuzzy parameterized fuzzy soft (fpfs) sets and their operations. We then define fpfs-aggregation operator to form fpfs-decision making method that allows constructing more efficient decision processes.