T -equivalences generated by shape function on the real line

Dug Hun Hong

Kybernetika (2003)

  • Volume: 39, Issue: 3, page [281]-288
  • ISSN: 0023-5954

Abstract

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This paper is devoted to give a new method of generating T-equivalence using shape function and finding the exact calculation formulas of T-equivalence induced by shape function on the real line. Some illustrative examples are given.

How to cite

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Hong, Dug Hun. "$T$-equivalences generated by shape function on the real line." Kybernetika 39.3 (2003): [281]-288. <http://eudml.org/doc/33641>.

@article{Hong2003,
abstract = {This paper is devoted to give a new method of generating T-equivalence using shape function and finding the exact calculation formulas of T-equivalence induced by shape function on the real line. Some illustrative examples are given.},
author = {Hong, Dug Hun},
journal = {Kybernetika},
keywords = {fuzzy number; fuzzy relation; t-norm; T-equivalence; shape function; fuzzy numbers; fuzzy relations; -norm; -equivalence; shape functions},
language = {eng},
number = {3},
pages = {[281]-288},
publisher = {Institute of Information Theory and Automation AS CR},
title = {$T$-equivalences generated by shape function on the real line},
url = {http://eudml.org/doc/33641},
volume = {39},
year = {2003},
}

TY - JOUR
AU - Hong, Dug Hun
TI - $T$-equivalences generated by shape function on the real line
JO - Kybernetika
PY - 2003
PB - Institute of Information Theory and Automation AS CR
VL - 39
IS - 3
SP - [281]
EP - 288
AB - This paper is devoted to give a new method of generating T-equivalence using shape function and finding the exact calculation formulas of T-equivalence induced by shape function on the real line. Some illustrative examples are given.
LA - eng
KW - fuzzy number; fuzzy relation; t-norm; T-equivalence; shape function; fuzzy numbers; fuzzy relations; -norm; -equivalence; shape functions
UR - http://eudml.org/doc/33641
ER -

References

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  10. Mareš M., Mesiar R., Composition of shape generators, Acta Mathematica et Informatica Universitatis Ostravienses 4 (1996), 37–46 (1996) Zbl0870.04003MR1446782
  11. Mareš M., Mesiar R., Fuzzy quantities and their aggregation, in aggregation operations, In: New Trends and Applications. Physica–Verlag, Heidelberg 2002, pp. 291–352 MR1936394
  12. Marková–Stupňanová A., Idempotents of T-addition of fuzzy numbers, Tatra Mt. Math. Publ. 12 (1997), 67–72 (1997) Zbl0954.03059MR1607198
  13. Mesiar R., 10.1016/0165-0114(95)00178-6, Fuzzy Sets and Systems 87 (1996), 259–261 (1996) MR1388398DOI10.1016/0165-0114(95)00178-6
  14. Schweizer B., Sklar A., Probabilistic Metric Spaces, North–Holland, New York 1983 Zbl0546.60010MR0790314

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