In the present paper, the researchers discuss the problem of weighted interval approximation of fuzzy numbers. This interval can be used as a crisp set approximation with respect to a fuzzy quantity. Then, by using this, the researchers propose a novel approach to ranking fuzzy numbers. This method can effectively rank various fuzzy numbers, their images and overcome the shortcomings of the pre...

Abstract Some industrial data often come with uncertainty, which in some cases depends on the decision of those responsible for taking measurement production process. While fuzzy approach helps to tackle ambiguity that arises measurement, an interval type-2 set deals such uncertainty better due its flexibility over control limits chart. This paper aims develop Interval Type-2 Exponentially Weig...

Two extensions of classical Shepard operators to the fuzzy case are presented. We study Shepard-type interpolation/approximation operators for functions with domain and range in the fuzzy number’s space and max-product approximation operators. Error estimates are obtained in terms of the modulus of continuity.