| Title:
|
Sum-fuzzy implementation of a choice function using artificial learning procedure with fixed fraction (English) |
| Author:
|
Constantinescu, Alina |
| Language:
|
English |
| Journal:
|
Applications of Mathematics |
| ISSN:
|
0862-7940 (print) |
| ISSN:
|
1572-9109 (online) |
| Volume:
|
52 |
| Issue:
|
4 |
| Year:
|
2007 |
| Pages:
|
321-326 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In one if his paper Luo transformed the problem of sum-fuzzy rationality into artificial learning procedure and gave an algorithm which used the learning rule of perception. This paper extends the Luo method for finding a sum-fuzzy implementation of a choice function and offers an algorithm based on the artificial learning procedure with fixed fraction. We also present a concrete example which uses this algorithm. (English) |
| Keyword:
|
decision making |
| Keyword:
|
choice function |
| Keyword:
|
artificial learning |
| MSC:
|
91-08 |
| MSC:
|
91E40 |
| MSC:
|
91E99 |
| MSC:
|
92B20 |
| idZBL:
|
Zbl 1164.91408 |
| idMR:
|
MR2324730 |
| DOI:
|
10.1007/s10492-007-0017-2 |
| . |
| Date available:
|
2009-09-22T18:30:05Z |
| Last updated:
|
2020-07-02 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/134678 |
| . |
| Reference:
|
[1] A. Banerjee: Rational choice under fuzzy preferences: the Orlovsky choice function.Fuzzy Sets Syst. 79 (1996), 407. Zbl 0871.90004, MR 1388414 |
| Reference:
|
[2] C. R. Barret, P. K. Pattanaik, and M. Salles: On choosing rationally when preferences are fuzzy.Fuzzy Sets Syst. 34 (1990), 197–212. MR 1038870 |
| Reference:
|
[3] D. Dumitrescu: Mathematical Principles of Classification Theory.Academic Press, Bucuresti, 1999. |
| Reference:
|
[4] X. Luo, M. Li, and Z. Lei: Fuzzy rational choice.In: Fuzzy Engineering Toward Friendly Systems, Ohmsha Ltd., Japan, 1991. MR 1221127 |
| Reference:
|
[5] X. Luo: A new approach to sum-fuzzy rational choice functions.Fuzzy Sets Syst. 127 (2002), 241–246. Zbl 1001.91021, MR 1894679 |
| Reference:
|
[6] S. A. Orlovsky: Decision-making with a fuzzy preference relation.Fuzzy Sets Syst. 1 (1978), 155–167. Zbl 0396.90004, MR 0484282 |
| Reference:
|
[7] : Preferences, Utility, and Demand.M. K. Richter, H. F. Sonnenchein (eds.), Harcourt Brace Jovanovich, New York, 1971. Zbl 0268.90005, MR 0432198 |
| Reference:
|
[8] Z. Switalski: A note an fuzzy rational choice function.Fuzzy Sets Syst. 3 (1990), 341–343. MR 1055253 |
| . |
