Fuzzy linear programming under interval uncertainty based on IFS representation
Fuzzy Sets and SystemsPublished 25 September 2011
Dipti Dubey, Suresh Chandra, Aparna Mehra
Citations103
SJR quartileQ1
SJR score0.75
SNIP1.25
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TL;DR
The solution methodology of Yang et al.
Abstract
The equivalence between the interval-valued fuzzy set (IVFS) and the intuitionistic fuzzy set (IFS) is exploited to study linear programming problems involving interval uncertainty modeled using IFS. The non-membership of IFS is constructed with three different viewpoints viz., optimistic, pessimistic, and mixed. These constructions along with their indeterminacy factors result in S-shaped membership functions in the fuzzy counterparts of the intuitionistic fuzzy linear programming models. The solution methodology of Yang et al. [45], and its subsequent generalization by Lin and Chen [33] are used to compute the optimal solutions of the three fuzzy linear programming models.
Keywords
Decision SciencesMathematicsEngineering
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