Authors
Masahiro Inuiguchi, Jaroslav Ramik, Tetsuzo Tanino, Milan Vlach
Publication date
2003/4/1
Journal
Fuzzy Sets and Systems
Volume
135
Issue
1
Pages
151-177
Publisher
North-Holland
Description
In this paper, we introduce a class of fuzzy linear programming problems and define the concepts of feasible and satisficing solutions—the necessary tools for dealing with such problems. In this way, we show that the class of crisp (classical) LP problems can be embedded into the class of FLP ones. Moreover, for FLP problems we define the concept of duality and prove the weak and strong duality theorems. Further, we define a class of interval linear programming problems as a special subclass of FLP problems and apply the previous results to this special case.
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Scholar articles
M Inuiguchi, J Ramik, T Tanino, M Vlach - Fuzzy Sets and Systems, 2003