Minimum values over the efficient set in multiple objective decision making
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. Idea...
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Veröffentlicht in: | European journal of operational research 1988, Vol.36 (3), p.334-338 |
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description | 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. |
doi_str_mv | 10.1016/0377-2217(88)90125-7 |
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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.</description><subject>Applied sciences</subject><subject>Decision making</subject><subject>Exact sciences and technology</subject><subject>Linear programming</subject><subject>Mathematical programming</subject><subject>Multiple</subject><subject>Multiple criteria programming</subject><subject>Objectives</subject><subject>Operational research and scientific management</subject><subject>Operational research. 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Management science</topic><topic>Operations research</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Reeves, Gary R.</creatorcontrib><creatorcontrib>Reid, Randall C.</creatorcontrib><collection>Pascal-Francis</collection><collection>RePEc IDEAS</collection><collection>RePEc</collection><collection>CrossRef</collection><collection>Computer and Information Systems Abstracts</collection><collection>Mechanical & Transportation Engineering Abstracts</collection><collection>Technology Research Database</collection><collection>Engineering Research Database</collection><collection>ProQuest Computer Science Collection</collection><collection>Advanced Technologies Database with Aerospace</collection><collection>Computer and Information Systems Abstracts Academic</collection><collection>Computer and Information Systems Abstracts Professional</collection><jtitle>European journal of operational research</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Reeves, Gary R.</au><au>Reid, Randall C.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Minimum values over the efficient set in multiple objective decision making</atitle><jtitle>European journal of operational research</jtitle><date>1988</date><risdate>1988</risdate><volume>36</volume><issue>3</issue><spage>334</spage><epage>338</epage><pages>334-338</pages><issn>0377-2217</issn><eissn>1872-6860</eissn><coden>EJORDT</coden><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.</abstract><cop>Amsterdam</cop><pub>Elsevier B.V</pub><doi>10.1016/0377-2217(88)90125-7</doi><tpages>5</tpages></addata></record> |
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subjects | Applied sciences Decision making Exact sciences and technology Linear programming Mathematical programming Multiple Multiple criteria programming Objectives Operational research and scientific management Operational research. Management science Operations research |
title | Minimum values over the efficient set in multiple objective decision making |
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