Convergence of sequences of fuzzy numbers and fixed point theorems for increasing fuzzy mappings and application
Fuzzy mappings (i.e., mappings assigning to an input fuzzy number an output fuzzy number) are discussed from fixed-point existence view. Based on some convergence results for sequences of fuzzy numbers, three types of fixed-point theorems (under different requirements) are shown. Obtained results are applied in fish production domain, discussing the balance problem between the quantity of catched fish and the reproduction and growth of the remaining fish. Another example concerns the solvability of an integral equation for fuzzy mappings (integral in Kaleva sense, i.e., a level-wise extension of the Aumann integral) is taken into account.
scientific article; zbMATH DE number 1864847