Article ID Journal Published Year Pages File Type
390997 Fuzzy Sets and Systems 2009 11 Pages PDF
Abstract

In this paper, we extend the concept of set-valued fuzzy measures (introduced and studied by Guo and Zhang [2004. On set-valued fuzzy measures. Information Sciences 160 (2004) 13–25]) to the class of multivalued set functions taking values in the family of non-empty closed subsets of a real normed space. Also, we introduce the notions of atom and non-atomicity of a multivalued set function and present some of their properties. We also establish an extension result by preserving non-atomicity for a fuzzy multisubmeasure/multimeasure.

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Physical Sciences and Engineering Computer Science Artificial Intelligence