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So far, many approaches based on fuzzy standard interval arithmetic (FSIA) have been suggested for solving FFLSs, and dual FFLSs. However, the suggested approaches suffer from some limitations, e.g. unnatural behavior in modeling (UBM) phenomenon. The limitations are regarded as either the sign of fuzzy numbers or the type of fuzzy numbers considered in systems. However, in this paper, the proposed approach does not have the limitations. Using two theorems, the general form of solutions of FFLSs and dual FFLSs are presented. By a corollary it was demonstrated that a dual FFLS can be regarded as an FFLS. In addition, restrictions associated to the FSIA-based approaches dealing with the FFLSs and dual FFLSs were pointed out. 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