Computing with words with the use of inverse RDM models of membership functions

Andrzej Piegat; Marcin Pluciński

International Journal of Applied Mathematics and Computer Science (2015)

  • Volume: 25, Issue: 3, page 675-688
  • ISSN: 1641-876X

Abstract

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Computing with words is a way to artificial, human-like thinking. The paper shows some new possibilities of solving difficult problems of computing with words which are offered by relative-distance-measure RDM models of fuzzy membership functions. Such models are based on RDM interval arithmetic. The way of calculation with words was shown using a specific problem of flight delay formulated by Lotfi Zadeh. The problem seems easy at first sight, but according to the authors' knowledge it has not been solved yet. Results produced with the achieved solution were tested. The investigations also showed that computing with words sometimes offers possibilities of achieving better problem solutions than with the human mind.

How to cite

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Andrzej Piegat, and Marcin Pluciński. "Computing with words with the use of inverse RDM models of membership functions." International Journal of Applied Mathematics and Computer Science 25.3 (2015): 675-688. <http://eudml.org/doc/271777>.

@article{AndrzejPiegat2015,
abstract = {Computing with words is a way to artificial, human-like thinking. The paper shows some new possibilities of solving difficult problems of computing with words which are offered by relative-distance-measure RDM models of fuzzy membership functions. Such models are based on RDM interval arithmetic. The way of calculation with words was shown using a specific problem of flight delay formulated by Lotfi Zadeh. The problem seems easy at first sight, but according to the authors' knowledge it has not been solved yet. Results produced with the achieved solution were tested. The investigations also showed that computing with words sometimes offers possibilities of achieving better problem solutions than with the human mind.},
author = {Andrzej Piegat, Marcin Pluciński},
journal = {International Journal of Applied Mathematics and Computer Science},
keywords = {computing with words; fuzzy arithmetic; RDM fuzzy arithmetic; granular computing},
language = {eng},
number = {3},
pages = {675-688},
title = {Computing with words with the use of inverse RDM models of membership functions},
url = {http://eudml.org/doc/271777},
volume = {25},
year = {2015},
}

TY - JOUR
AU - Andrzej Piegat
AU - Marcin Pluciński
TI - Computing with words with the use of inverse RDM models of membership functions
JO - International Journal of Applied Mathematics and Computer Science
PY - 2015
VL - 25
IS - 3
SP - 675
EP - 688
AB - Computing with words is a way to artificial, human-like thinking. The paper shows some new possibilities of solving difficult problems of computing with words which are offered by relative-distance-measure RDM models of fuzzy membership functions. Such models are based on RDM interval arithmetic. The way of calculation with words was shown using a specific problem of flight delay formulated by Lotfi Zadeh. The problem seems easy at first sight, but according to the authors' knowledge it has not been solved yet. Results produced with the achieved solution were tested. The investigations also showed that computing with words sometimes offers possibilities of achieving better problem solutions than with the human mind.
LA - eng
KW - computing with words; fuzzy arithmetic; RDM fuzzy arithmetic; granular computing
UR - http://eudml.org/doc/271777
ER -

References

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