Paper Info
Title
Concepts of generalized concavity based on aggregation functions
Abstract
In the present paper, the quasiconcavity of membership functions is generalized based on conjunctive aggregation functions, and the properties of the generalized quasiconcavity are investigated. Fuzzy multicriteria and scalar programming problems are then considered, and the properties of Pareto optimal solutions and compromise solutions as well as their relationships are derived. Finally, we discuss the application of the obtained results to facility location problems.
Year
DOI
Venue
2012
10.1016/j.fss.2011.10.001
Fuzzy Sets and Systems
Keywords
Field
DocType
generalized concavity,pareto optimal solution,scalar programming problem,facility location problem,present paper,membership function,compromise solution,fuzzy multicriteria,conjunctive aggregation function,generalized quasiconcavity
Discrete mathematics,Mathematical optimization,Fuzzy logic,Scalar (physics),Pareto optimal,Facility location problem,Mathematics
Journal
Volume
ISSN
Citations 
198,
0165-0114
0
PageRank 
References 
Authors
0.34
3
2
Name
Order
Citations
PageRank
Masamichi Kon100.34
Hiroaki Kuwano2161.66