Non-atomic Set Multifunctions
نویسنده
چکیده
In this paper, we focuse on different important properties in fuzzy (set-valued) measure theory, such as, non-atomicity, diffusion, regularity, order continuity, exhaustivity, countable subadditivity, increasing/decreasing convergence, semi-convexity, Darboux property for different types of set multifunctions defined on a ring of subsets of an abstract, nonvoid space and taking values in the family of all nonvoid closed subsets of a real normed space. Key–words: non-atomicity, atom, regularity, order continuity, set multifunction, multi(sub)measure, diffusion, semi-convexity, Darboux property, fuzziness.
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