Fuzzy inner product and fuzzy product space. (English) Zbl 1321.46078
Summary: Properties of operations (addition and scalar multiplication), orderings, and fuzzy set-valued convex mappings for general fuzzy sets are considered. In the present paper, a fuzzy inner product and a fuzzy product space for general fuzzy sets are proposed, and their properties with respect to operations, orderings, and fuzzy set-valued convex mappings are investigated.
MSC:
46S40 | Fuzzy functional analysis |