Sum-fuzzy implementation of a choice function using artificial learning procedure with fixed fraction

Alina Constantinescu

Applications of Mathematics (2007)

  • Volume: 52, Issue: 4, page 321-326
  • ISSN: 0862-7940

Abstract

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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.

How to cite

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Constantinescu, Alina. "Sum-fuzzy implementation of a choice function using artificial learning procedure with fixed fraction." Applications of Mathematics 52.4 (2007): 321-326. <http://eudml.org/doc/33291>.

@article{Constantinescu2007,
abstract = {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.},
author = {Constantinescu, Alina},
journal = {Applications of Mathematics},
keywords = {decision making; choice function; artificial learning; decision making; choice function; artificial learning},
language = {eng},
number = {4},
pages = {321-326},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Sum-fuzzy implementation of a choice function using artificial learning procedure with fixed fraction},
url = {http://eudml.org/doc/33291},
volume = {52},
year = {2007},
}

TY - JOUR
AU - Constantinescu, Alina
TI - Sum-fuzzy implementation of a choice function using artificial learning procedure with fixed fraction
JO - Applications of Mathematics
PY - 2007
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 52
IS - 4
SP - 321
EP - 326
AB - 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.
LA - eng
KW - decision making; choice function; artificial learning; decision making; choice function; artificial learning
UR - http://eudml.org/doc/33291
ER -

References

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  1. Rational choice under fuzzy preferences: the Orlovsky choice function, Fuzzy Sets Syst. 79 (1996), 407. (1996) Zbl0871.90004MR1388414
  2. On choosing rationally when preferences are fuzzy, Fuzzy Sets Syst. 34 (1990), 197–212. (1990) MR1038870
  3. Mathematical Principles of Classification Theory, Academic Press, Bucuresti, 1999. (1999) 
  4. Fuzzy rational choice, In: Fuzzy Engineering Toward Friendly Systems, Ohmsha Ltd., Japan, 1991. (1991) MR1221127
  5. A new approach to sum-fuzzy rational choice functions, Fuzzy Sets Syst. 127 (2002), 241–246. (2002) Zbl1001.91021MR1894679
  6. Decision-making with a fuzzy preference relation, Fuzzy Sets Syst. 1 (1978), 155–167. (1978) Zbl0396.90004MR0484282
  7. Preferences, Utility, and Demand, M. K. Richter, H. F. Sonnenchein (eds.), Harcourt Brace Jovanovich, New York, 1971. (1971) Zbl0268.90005MR0432198
  8. A note an fuzzy rational choice function, Fuzzy Sets Syst. 3 (1990), 341–343. (1990) MR1055253

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