Elsevier

Fuzzy Sets and Systems

Volume 188, Issue 1, 1 February 2012, Pages 68-87
Fuzzy Sets and Systems

Fuzzy linear programming under interval uncertainty based on IFS representation

https://doi.org/10.1016/j.fss.2011.09.008Get rights and content

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.

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