Modified polysaccharides (such as starches, gums, chitosans, celluloses, alginates, sugars, etc.), which are commonly used in the paper industry as strengthening agents, surface sizes, coating binders, emulsifiers and adhesives, can be combined into a single molecule with modified aliphatic hydrocarbons, which are commonly utilized, in conjunction with cationic moieties, as softeners, debonders, lubricants and sizing agents. The resulting molecule is a modified polysaccharide having an aliphatic moiety which can provide several potential benefits, depending on the specific combination employed, including: (a) strength aids that do not impart stiffness; (b) softeners that do not reduce strength; (c) wet strength with improved wet/dry strength ratio; (d) debonders with reduced linting and sloughing; (e) strength aids with controlled absorbency; and (f) surface sizing agents with improved tactile properties.