# A new definition of the fuzzy set

International Journal of Applied Mathematics and Computer Science (2005)

- Volume: 15, Issue: 1, page 125-140
- ISSN: 1641-876X

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topPiegat, Andrzej. "A new definition of the fuzzy set." International Journal of Applied Mathematics and Computer Science 15.1 (2005): 125-140. <http://eudml.org/doc/207721>.

@article{Piegat2005,

abstract = {The present fuzzy arithmetic based on Zadeh's possibilistic extension principle and on the classic definition of a fuzzy set has many essential drawbacks. Therefore its application to the solution of practical tasks is limited. In the paper a new definition of the fuzzy set is presented. The definition allows for a considerable fuzziness decrease in the number of arithmetic operations in comparison with the results produced by the present fuzzy arithmetic.},

author = {Piegat, Andrzej},

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

keywords = {fuzzy set theory; possibility; fuzzy arithmetic; fuzzy sets; membership function determination},

language = {eng},

number = {1},

pages = {125-140},

title = {A new definition of the fuzzy set},

url = {http://eudml.org/doc/207721},

volume = {15},

year = {2005},

}

TY - JOUR

AU - Piegat, Andrzej

TI - A new definition of the fuzzy set

JO - International Journal of Applied Mathematics and Computer Science

PY - 2005

VL - 15

IS - 1

SP - 125

EP - 140

AB - The present fuzzy arithmetic based on Zadeh's possibilistic extension principle and on the classic definition of a fuzzy set has many essential drawbacks. Therefore its application to the solution of practical tasks is limited. In the paper a new definition of the fuzzy set is presented. The definition allows for a considerable fuzziness decrease in the number of arithmetic operations in comparison with the results produced by the present fuzzy arithmetic.

LA - eng

KW - fuzzy set theory; possibility; fuzzy arithmetic; fuzzy sets; membership function determination

UR - http://eudml.org/doc/207721

ER -

## References

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