Abstract | ||
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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. |
Year | DOI | Venue |
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2012 | 10.1016/j.fss.2011.09.008 | Fuzzy Sets and Systems |
Keywords | Field | DocType |
fuzzy linear programming model,indeterminacy factors result,different viewpoints viz,interval-valued fuzzy set,interval uncertainty,linear programming problem,s-shaped membership function,intuitionistic fuzzy linear programming,fuzzy counterpart,ifs representation,intuitionistic fuzzy set | Discrete mathematics,Fuzzy classification,Defuzzification,Fuzzy set operations,Fuzzy mathematics,Fuzzy set,Type-2 fuzzy sets and systems,Fuzzy number,Membership function,Mathematics | Journal |
Volume | Issue | ISSN |
188 | 1 | 0165-0114 |
Citations | PageRank | References |
15 | 0.82 | 34 |
Authors | ||
3 |
Name | Order | Citations | PageRank |
---|---|---|---|
Dipti Dubey | 1 | 33 | 3.09 |
Suresh Chandra | 2 | 902 | 48.57 |
Aparna Mehra | 3 | 92 | 15.04 |