In this paper, we studied and introduce a new class of fuzzy sets called fuzzy strongly g *super closed sets is introduced and explore some of its characterization.

For n > 2 let In be the σ-ideal in P(nω) generated by all sets which do not contain n equidistant points in the usual metric on nω. For each n > 2 a set Sn is constructed in Rn so that the σ-ideal which is generated by the convex subsets of Sn restricted to the convexity radical K(Sn) is isomorphic to In. Thus cov(In) is equal to the least number of convex subsets required to cover Sn — the con...

In this paper we deal with the problem of extending Zadeh's operators on fuzzy sets (FSs) to interval-valued (IVFSs), set-valued (SVFSs) and type-2 (T2FSs) fuzzy sets. Namely, it is known that seeing FSs as SVFSs, or T2FSs, whose membership degrees are singletons is not order-preserving. We then describe a family of lattice embeddings from FSs to SVFSs. Alternatively, if the former singleton vi...