Title
Fuzzy linear programming under interval uncertainty based on IFS representation
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.
Year
DOI
Venue
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 Dubey1333.09
Suresh Chandra290248.57
Aparna Mehra39215.04