On the equivalence of convergences of fuzzy sets
Fuzzy Sets and Systems
Some notes on the supremum and infimum of the set of fuzzy numbers
Fuzzy Sets and Systems
On operations and order relations between fuzzy values
Fuzzy Sets and Systems
Componentwise decomposition of some lattice-valued fuzzy integrals
Information Sciences: an International Journal
L-fuzzy numbers and their properties
Information Sciences: an International Journal
Information Sciences: an International Journal
A note on the sendograph metric of fuzzy numbers
Information Sciences: an International Journal
On the completions of fuzzy number space with respect to sendograph metric
FSKD'09 Proceedings of the 6th international conference on Fuzzy systems and knowledge discovery - Volume 6
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In this paper it is shown that supremum and infimum of fuzzy numbers can be characterized by membership function method via endograph metric more directly than by using the levelwise metric, it is proved that the endograph metric is approximative with respect to orders on fuzzy number spaces, also, the endograph metric is computable. The result in this paper shows that the fuzzy-number-valued integrals of the kind based on concept like Riemann sum in calculus are computable.