Ranking of generalized fuzzy numbers using distance measure and similarity measure

ranking of generalized fuzzy numbers using distance measure and similarity measure

ranking of generalized fuzzy numbers using distance measure and similarity measure

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Ranking of generalized fuzzy numbers using distance measure and similarity measure

In this paper, we first of all define the distance measure entitled generalized Hausdorff distance between two trapezoidal generalized fuzzy numbers (TGFNs) that has been introduced by Chen [10]. Then using a other distance and combining with generalized Hausdorff distance, we define the similarity measure. The basic properties of the above mentioned similarity measure are proved in detail. Fin...

Fuzzy Similarity Measure for Generalized Fuzzy Numbers

This paper proposes a new fuzzy similarity measure to calculate the degree of similarity of generalized fuzzy numbers (GFN’s).The fuzzy similarity measure is developed by integrating the concept of centre of gravity (COG) points and fuzzy difference of distance of points of fuzzy numbers. A fuzzy description for difference of distances between fuzzy numbers in its turn exploits appropriate simi...

Ranking of fuzzy numbers based on angle measure

In this paper, a novel approach for ranking fuzzy numbers based on the angle measure is introduced. Several left and right spreads at each chosen levels of fuzzy numbers is used to determine center of mass points(CMPs) and then, the angels between the CMPs and the horizontal axis is calculated. The total angle is determined by averaging the computed angles and finally, the novel method is compa...

Ranking of fuzzy numbers based on angle measure

In this paper, a novel approach for ranking fuzzy numbers based on the angle measure is introduced. Several left and right spreads at each chosen levels of fuzzy numbers is used to determine center of mass points(CMPs) and then, the angels between the CMPs and the horizontal axis is calculated. The total angle is determined by averaging the computed angles and finally, the novel method is compa...