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. Appadoo | 1 | 97 | 12.82 |
S. K. Bhatt | 2 | 17 | 1.52 |
C. R. Bector | 3 | 197 | 19.95 |