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Presents double blind peer-reviewed and original research on soft computing applications for solving problems of uncertainty within the computing environment. This volume emphasizes essential concepts on generalized and hybrid set structures that can be applied across industries for complex problem solving.

Multiset is a collection of objects in which the elements are allowed to repeat. The notion of multiset relations and multiset functions are introduced and the concepts in general topology on classical sets are extended to topology on multisets. Partially ordered multisets and their chains and antichains are introduced and the decomposition theorem for partially ordered multisets is obtained. Moreover multiset topologies are generated using multiset relations and to obtain a quasi-discrete multiset topology from a symmetric multiset relation instead of an equivalence multiset relation. Rough...