Abstract
Lattice-valued fuzzy measures are lattice-valued set functions which assign the bottom element of the lattice to the empty set and the top element of the lattice to the entire universe, satisfying the additive properties and the property of monotonicity. In this paper, we use the lattice-valued fuzzy measures and outer measure definitions and generalize the Caratheodory extension theorem for lattice-valued fuzzy measures.
Citation
Mehmet Şahin. Necati Olgun. F. Talay Akyıldız. Ali Karakuş. "Generalized Caratheodory Extension Theorem on Fuzzy Measure Space." Abstr. Appl. Anal. 2012 1 - 11, 2012. https://doi.org/10.1155/2012/260457
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