Fuzzy linear programming under interval uncertainty based on IFS representation

@article{Dubey2012FuzzyLP,
  title={Fuzzy linear programming under interval uncertainty based on IFS representation},
  author={Dipti Dubey and Suresh Chandra and Aparna Mehra},
  journal={Fuzzy Sets and Systems},
  year={2012},
  volume={188},
  pages={68-87}
}
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… CONTINUE READING

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