The article "Ranking fuzzy numbers in the setting of possibility theory" by Didier Dubois and Henri Prade, published in Information Sciences in 1983, discusses methods for ranking fuzzy numbers within the framework of possibility theory. The authors critique existing methods, such as those proposed by Baldwin and Cnuid, which can lead to counterintuitive rankings. They suggest using extended maximum and minimum operators, but point out that these methods may not always provide clear discrimination between fuzzy numbers, especially when they are very close to each other. Yager's approach, based on the Hamming distance between fuzzy sets, is also discussed. This method ranks fuzzy truth values by measuring their proximity to the standard fuzzy truth value "true." The Hamming distance is defined as the integral of the absolute difference between the membership functions of the two fuzzy sets over the unit interval. This method is noted to be the dual of the "Perfect antisymmetry" property introduced by Zadeh, which is satisfied by normal Sugeno integrals (NSD).The article "Ranking fuzzy numbers in the setting of possibility theory" by Didier Dubois and Henri Prade, published in Information Sciences in 1983, discusses methods for ranking fuzzy numbers within the framework of possibility theory. The authors critique existing methods, such as those proposed by Baldwin and Cnuid, which can lead to counterintuitive rankings. They suggest using extended maximum and minimum operators, but point out that these methods may not always provide clear discrimination between fuzzy numbers, especially when they are very close to each other. Yager's approach, based on the Hamming distance between fuzzy sets, is also discussed. This method ranks fuzzy truth values by measuring their proximity to the standard fuzzy truth value "true." The Hamming distance is defined as the integral of the absolute difference between the membership functions of the two fuzzy sets over the unit interval. This method is noted to be the dual of the "Perfect antisymmetry" property introduced by Zadeh, which is satisfied by normal Sugeno integrals (NSD).