Paper Info
Title
Bector--Chandra type duality in fuzzy linear programming with exponential membership functions
Abstract
In this paper, we study a pair of fuzzy primal-dual linear programming problems and calculate duality results using an aspiration level approach. We use an exponential membership function, which is in contrast to the earlier works that relied on a linear membership function. As the fuzzy environment causes a duality gap, we investigate how choosing the exponential membership function impacts this gap. This issue is particularly important for fuzzy linear programming where, in general, the primal and dual objective values may not be bounded.
Year
DOI
Venue
2009
10.1016/j.fss.2009.04.012
Fuzzy Sets and Systems
Keywords
Field
DocType
linear membership function,fuzzy primal-dual linear programming,chandra type duality,duality gap,fuzzy linear programming,fuzzy mathematical programming,exponential membership function,fuzzy constraint satisfaction,duality result,fuzzy environment,aspiration level approach,dual objective value,earlier work,primal–dual problems,duality theory,dual problem,linear program,membership function
Linear-fractional programming,Discrete mathematics,Defuzzification,Fuzzy classification,Fuzzy set,Duality (optimization),Artificial intelligence,Type-2 fuzzy sets and systems,Fuzzy number,Membership function,Machine learning,Mathematics
Journal
Volume
Issue
ISSN
160
22
Fuzzy Sets and Systems
Citations 
PageRank 
References 
12
0.63
16
Authors
3
Name
Order
Citations
PageRank
Pankaj Gupta11479133.85
Mukesh Kumar Mehlawat227522.90
MehlawatMukesh Kumar3150.99