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.
An efficient method utilizing a “max‐pro” optimum scheme for solving the “max‐min” decision function in a fuzzy optimization environment. The proposed method significantly simplifies the “max‐min” optimum solving problem, especially in the case when the number of objectives and constraints is large. Presents illustrative examples. The technique may also have valuable applications in solving general optimization problems with a piecewise‐smoothed objective function.
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