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Based on an order relation of interval number, the uncertain objective function is transformed into two deterministic objective functions, in which the robustness of design is considered.
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Their argument accentuates the deficiencies of Iran's opposition -- a lack of leadership, uncertain objectives and an entrenched, determined adversary -- to argue for accommodation with the current regime in Tehran.
The uncertain multi-objective optimization model is converted into deterministic multi-objective model including left, center and right interval functions.
Remark 5 The first scenario-based concept to uncertain multi-objective optimization, or minmax-robustness adapted to multi-objective optimization, has been introduced by Kuroiwa and Lee [17] and studied in [19].
Furthermore, in [17] the authors present solution concepts for obtaining robust points of uncertain multi-objective optimization problems and study optimality conditions for the special case of convex objective functions in [19].
This paper proposes an interval uncertain multi-objective optimisation (IUMOO) method for structures with uncertain-but-bounded parameters.
Considering the problem of low efficiency and local optima caused by traditional optimization methods, sequential approximate optimization approach is introduced to improve the efficiency and the ability to find global optimal solutions during variable blank holder forces (VBHF) uncertain multi-objective optimization process.
Theorem 1 Consider an uncertain multi-objective optimization problem ( P ( U ) ).
Lemma 1 Consider the uncertain multi-objective optimization problem ( P ( U ) ).
Furthermore, we develop new algorithms for solving uncertain multi-objective optimization problems.
Therefore, an uncertain (multi-objective) optimization problem is defined as the family of optimization problems.
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