# Imposing restrictions on density functions utilised in computing with words

International Journal of Applied Mathematics and Computer Science (2002)

- Volume: 12, Issue: 3, page 383-390
- ISSN: 1641-876X

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topGemeinder, Marcus. "Imposing restrictions on density functions utilised in computing with words." International Journal of Applied Mathematics and Computer Science 12.3 (2002): 383-390. <http://eudml.org/doc/207595>.

@article{Gemeinder2002,

abstract = {Applying the generalised extension principle within the area of Computing with Words typically leads to complex maximisation problems. If distributed quantities-such as, e.g., size distributions within human populations-are considered, density functions representing these distributions become involved. Very often the optimising density functions do not resemble those found in nature; for instance, an optimising density function could consist of two single Dirac pulses positioned near the opposite bounds of the interval limiting the possible values of the quantity considered. Therefore, in this article, density functions with certain shapes which enable us to overcome this lack of resemblance are considered. Furthermore, some considerations on solving the resulting maximisation problems are reported.},

author = {Gemeinder, Marcus},

journal = {International Journal of Applied Mathematics and Computer Science},

keywords = {approximate reasoning; computing with words; resemblance; generalised extension principle; generalized extension principle},

language = {eng},

number = {3},

pages = {383-390},

title = {Imposing restrictions on density functions utilised in computing with words},

url = {http://eudml.org/doc/207595},

volume = {12},

year = {2002},

}

TY - JOUR

AU - Gemeinder, Marcus

TI - Imposing restrictions on density functions utilised in computing with words

JO - International Journal of Applied Mathematics and Computer Science

PY - 2002

VL - 12

IS - 3

SP - 383

EP - 390

AB - Applying the generalised extension principle within the area of Computing with Words typically leads to complex maximisation problems. If distributed quantities-such as, e.g., size distributions within human populations-are considered, density functions representing these distributions become involved. Very often the optimising density functions do not resemble those found in nature; for instance, an optimising density function could consist of two single Dirac pulses positioned near the opposite bounds of the interval limiting the possible values of the quantity considered. Therefore, in this article, density functions with certain shapes which enable us to overcome this lack of resemblance are considered. Furthermore, some considerations on solving the resulting maximisation problems are reported.

LA - eng

KW - approximate reasoning; computing with words; resemblance; generalised extension principle; generalized extension principle

UR - http://eudml.org/doc/207595

ER -

## References

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