On Generalizations of Bags

Abstract

Bags alias multisets have important generalizations, among which R-bags (real-valued bags), F-bags (fuzzy bags), and G-bags (generalized bags)are studied. In particular R-bags have interesting theoretical properties when contrasted with fuzzy sets. In this paper a class of complement operations and $s$-norms are studied and generalizations are mentioned. Moreover bag relations and their compositions using max-s algebra and max-t algebra are discussed.