A bilevel programming problem with maximization of a supermodular function in the lower level

2012 ◽  
Vol 26 (3) ◽  
pp. 568-584
Author(s):  
Diana Fanghänel
2015 ◽  
Vol 11 (2) ◽  
pp. 97-115 ◽  
Author(s):  
S. Haseen ◽  
A. Bari

Abstract In this paper, a likely situation of a set of decision maker’s with bi-objectives in case of fuzzy multi-choice goal programming is considered. The problem is then carefully formulated as a bi-objective bilevel programming problem (BOBPP) with multiple fuzzy aspiration goals, fuzzy cost coefficients and fuzzy decision variables. Using Ranking method the fuzzy bi-objective bilevel programming problem (FBOBPP) is converted into a crisp model. The transformed problem is further solved by adopting a two level Stackelberg game theory and fuzzy decision model of Sakawa. A numerical with hypothetical values is also used to illustrate the problem.


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