The invariance of optimum solution in a multi‐objective fuzzy environment

Defines the order preservation and operator uniqueness assumption and the active assumption. Under these assumptions, presents the invariance of optimum solution in a multi‐objective fuzzy environment and gives illustrative examples. Presents applications, including in the heat transfer area, illustrated by numerical results and three dimensional figures. The results may have useful applications in fuzzy languages, fuzzy logics and other related areas.