Even though various ranking fuzzy numbers approaches have been presented so far, none of them can always provide satisfactory results in every situation. Some are counterintuitive, and some inconsistent for the same circumstances. To overcome issues mentioned above, we present a new technique using mean value two points. The points taken on left right membership functions (reference functions) ...

Jaccard index similarity measure which applies the extension principle approach to obtain fuzzy maximum and fuzzy minimum has been proposed in ranking fuzzy numbers. However, the extension principle used is only applicable to normal fuzzy numbers and, therefore, fails to rank non-normal ones. Apart from that, the extension principle does not preserve the type of membership function of fuzzy num...

The purpose of this study is to introduce an application of fuzzy centroid-based approach to ranking the customer requirements using QFD with competition considerations for Diba Fiberglass, an Iranian Company. The illustrated approach, not only focuses on the normal fuzzy numbers, but also considers the non-normal fuzzy numbers to capture the true customer requirements. To this end, first, we p...

To the best of our knowledge very few methods have been proposed in previous studies for comparing intuitionistic fuzzy (IF) numbers. In this paper, the limitations and the shortcomings of all these existing methods are pointed out. In order to overcome these limitations and shortcomings a new ranking approach—by modifying an existing ranking approach—is proposed for comparing IF numbers. Thus,...

Abstract: In this paper we improvise the work of Wang & Chen (2006) that used fuzzy numbers in the computation of consistent fuzzy preference relation (CFPR). Using the Herrera-Viedma et al. (2004) approach, we incorporate the centroid-index formula in constructing the evaluation matrices with fuzzy number elements. This will transform the fuzzy numbers into crisp values. The number of pair-wis...