CREATING AND DECOMPOSING FUNCTIONS USING FUZZY FUNCTIONS

József Dániel Dombi, József Dombi

Abstract

In this paper we will present a new approach for composing and decomposing functions. This technology is based on the Pliant concept, which is a subclass of the fuzzy concept. We will create an effect by using the conjunction of the sigmoid function. After, we will make a proper transformation of an effect in order to define the neutral value. Then, by repeatedly applying this method, we can create effects. Aggregating the effects, we can compose the desired function. This tool is also capable of function decomposition as well, and can be used to solve a variety of real-time problems. Two advantages of our solution are that the parameters of our algorithm have a semantic meaning, and that it is also possible to use the values of the parameter in any kind of learning procedure.

References

  1. Aczél, J. (1966). Lectures on Functional Equations and Applications. Academic Press.
  2. D. Dubois, H. P. (2000). Fundamentals of fuzzy sets (the hanbooks of fuzzy sets series). Kluwer.
  3. Dombi, J. (1982a). Basic concept for a theory of evaluation: the aggregation operator. Europian Journal of Operations Research, 10.
  4. Dombi, J. (1982b). A general class of fuzzy operators, the de morgan class of fuzzy operators and fuzziness measures induced by fuzzy operators. Fuzzy Sets and Systems, 8.
  5. Dombi, J. (2008). Towards a general class of operators for fuzzy systems. IEEE Transaction on Fuzzy Systems, 16.
  6. J. Fodor, R. Y. and Rybalov, A. (1997). Structure of uninorms. International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 5.
  7. Li, Y. M. and Shi, Z. K. (2000). Weak uninorm aggregation operators. Information Sciences, 124.
  8. Ruszczynski, A. (2001). Nonlinear optimization. Princeton University Press.
  9. Yager., R. (2001). Uninorms in fuzzy systems modeling. Fuzzy Sets and Systems, 122.
Download


Paper Citation


in Harvard Style

Dániel Dombi J. and Dombi J. (2010). CREATING AND DECOMPOSING FUNCTIONS USING FUZZY FUNCTIONS . In Proceedings of the 12th International Conference on Enterprise Information Systems - Volume 2: ICEIS, ISBN 978-989-8425-05-8, pages 400-403. DOI: 10.5220/0002901204000403


in Bibtex Style

@conference{iceis10,
author={József Dániel Dombi and József Dombi},
title={CREATING AND DECOMPOSING FUNCTIONS USING FUZZY FUNCTIONS},
booktitle={Proceedings of the 12th International Conference on Enterprise Information Systems - Volume 2: ICEIS,},
year={2010},
pages={400-403},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0002901204000403},
isbn={978-989-8425-05-8},
}


in EndNote Style

TY - CONF
JO - Proceedings of the 12th International Conference on Enterprise Information Systems - Volume 2: ICEIS,
TI - CREATING AND DECOMPOSING FUNCTIONS USING FUZZY FUNCTIONS
SN - 978-989-8425-05-8
AU - Dániel Dombi J.
AU - Dombi J.
PY - 2010
SP - 400
EP - 403
DO - 10.5220/0002901204000403