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Aczel-Alsina t-norm belongs to the family of strict t-norms that are the mostapplied fuzzy operators in various fuzzy modelling problems. In this paper, westudy a linear optimization problem where the feasible region is formed as asystem of fuzzy relational equations (FRE) defined by the Aczel-Alsina t-norm.Since the feasible solutions set of FREs is non-convex and the finding of allminimal solutions is an NP-hard problem, conventional methods may not bedirectly employed. The resolution of the feasible region is completelyinvestigated. Based on some theoretical properties of the problem, an algorithmis presented to find all the optimal solutions, and finally an example isdescribed to illustrate this algorithm.

On the resolution and Linear programming problems subjected by Aczel-Alsina Fuzzy relational equations