Minimum values over the efficient set in multiple objective decision making |
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| Affiliation: | 1. Faculty of Engineering, Hokkaido University, Kita 13, Nishi 8, Kita-ku, Sapporo, Hokkaido 060-8628, Japan;2. School of Civil Engineering, Universiti Sains Malaysia, Engineering Campus, 14300 Nibong Tebal, Seberang Perai Selatan, P. Pinang, Malaysia;3. Institute for Infrastructure Engineering, University Western Sydney, James Ruse Dr., Parramatta, NSW 2150, Australia;1. Department of Civil and Environmental Engineering, Northwestern University, Evanston, IL 60208, USA;2. ES3, 550 West C St., San Diego, CA 92101, USA |
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| Abstract: | In multiple objective decision making (MODM), it is often helpful to provide the decision maker (DM) with bounds on the values of each of the objectives. Ideal solutions are relatively easy to calculate and provide upper bounds on the value of each objective over the set of efficient solutions. Ideal solutions also provide lower bounds on the value of each objective over the ideal set. However, the lower bounds over the set of efficient solutions can be strictly less than the ideal lower bounds, but are, in general, more difficult to determine. Thus MODM procedures which utilize the ideal lower bound may overlook elements of the set of efficient solutions. This study explores the differences between the subset of the set of efficient solutions to a MODM problem bounded by its ideal solutions and the complete efficient set. |
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