Title
Application of possibility theory to investment decisions
Abstract
Carlson and Fuller (2001, Fuzzy Sets and Systems, 122, 315---326) introduced the concept of possibilistic mean, variance and covariance of fuzzy numbers. In this paper, we extend some of these results to a nonlinear type of fuzzy numbers called adaptive fuzzy numbers (see Bodjanova (2005, Information Science, 172, 73---89) for detail). We then discuss the application of these results to decision making problems in which the parameters may involve uncertainty and vagueness. As an application, we develop expression for fuzzy net present value (FNPV) of future cash flows involving adaptive fuzzy numbers by using their possibilistic moments. An illustrative numerical example is given to illustrate the results.
Year
DOI
Venue
2008
10.1007/s10700-007-9023-9
FO & DM
Keywords
Field
DocType
Uncertainty,Vagueness,Possibilistic moments,Adaptive Fuzzy numbers,Decision making problem
Mathematical optimization,Defuzzification,Fuzzy classification,Fuzzy set operations,Fuzzy measure theory,Fuzzy transportation,Fuzzy mathematics,Type-2 fuzzy sets and systems,Fuzzy number,Mathematics
Journal
Volume
Issue
ISSN
7
1
1568-4539
Citations 
PageRank 
References 
15
1.08
13
Authors
3
Name
Order
Citations
PageRank
S.S. Appadoo19712.82
S. K. Bhatt2171.52
C. R. Bector319719.95