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On efficient solutions of multicriteria location problems with the block norm. (English) Zbl 0971.90045

Summary: We consider a multicriteria location problem with the block norm. First, in the location problem, we show that the efficiency is equivalent to the proper efficiency in [A. M. Geoffrion, J. Math. Anal. Appl. 22, 618-630 (1968; Zbl 0181.22806)]. Next, we characterize efficient solutions of the location problem by using optimal solutions of minisum, minimax and fuzzy maximin location problems with the same norm.
[Part II, cf. ibid. 1, No. 2, 133-140 (1998; Zbl 0987.90054)].

MSC:

90B85 Continuous location
90B50 Management decision making, including multiple objectives
90C29 Multi-objective and goal programming
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