TY - INPR
A1 - Ehrgott, Matthias
A1 - Verma, Rakesh
T1 - A Fuzzy Programming Approach to Multicriteria Facility Location Problems
N2 - Facility Location Problems are concerned with the optimal location of one or several new facilities, with respect to a set of existing ones. The objectives involve the distance between new and existing facilities, usually a weighted sum or weighted maximum. Since the various stakeholders (decision makers) will have different opinions of the importance of the existing facilities, a multicriteria problem with several sets of weights, and thus several objectives, arises. In our approach, we assume the decision makers to make only fuzzy comparisons of the different existing facilities. A geometric mean method is used to obtain the fuzzy weights for each facility and each decision maker. The resulting multicriteria facility location problem is solved using fuzzy techniques again. We prove that the final compromise solution is weakly Pareto optimal and Pareto optimal, if it is unique, or under certain assumptions on the estimates of the Nadir point. A numerical example is considered to illustrate the methodology.
T3 - Report in Wirtschaftsmathematik (WIMA Report) - 51
KW - Location theory
KW - Multicriteria optimization
KW - Fuzzy Programming
KW - Triangular fuzzy number
KW - Linear membership function
Y1 - 1999
UR - https://kluedo.ub.uni-kl.de/frontdoor/index/index/docId/1124
UR - https://nbn-resolving.org/urn:nbn:de:hbz:386-kluedo-10632
ER -