Application of possibility theory to investment decisions

Autor:	C. R. Bector, Srimantoorao S. Appadoo, S. K. Bhatt
Rok vydání:	2008
Předmět:	Mathematical optimization Fuzzy classification Fuzzy measure theory Logic business.industry Type-2 fuzzy sets and systems Defuzzification Fuzzy transportation Artificial Intelligence Fuzzy mathematics Fuzzy set operations Fuzzy number Artificial intelligence business Software Mathematics
Zdroj:	Fuzzy Optimization and Decision Making. 7:35-57
ISSN:	1573-2908 1568-4539
DOI:	10.1007/s10700-007-9023-9
Popis:	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.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::156f6db91d1af060f772e52f696e7dd2 https://doi.org/10.1007/s10700-007-9023-9 Zobrazit plný text záznamu Plný text ve formátu PDF