Integration of real functions with respect to a o p l u s -measure

Anna Kolesárová

Mathematica Slovaca (1996)

  • Volume: 46, Issue: 1, page 41-52
  • ISSN: 0232-0525

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Kolesárová, Anna. "Integration of real functions with respect to a $oplus$-measure." Mathematica Slovaca 46.1 (1996): 41-52. <http://eudml.org/doc/31675>.

@article{Kolesárová1996,
author = {Kolesárová, Anna},
journal = {Mathematica Slovaca},
keywords = {direct sum-measure; fuzzy measure; integration theory; Lebesgue integral},
language = {eng},
number = {1},
pages = {41-52},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {Integration of real functions with respect to a $oplus$-measure},
url = {http://eudml.org/doc/31675},
volume = {46},
year = {1996},
}

TY - JOUR
AU - Kolesárová, Anna
TI - Integration of real functions with respect to a $oplus$-measure
JO - Mathematica Slovaca
PY - 1996
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 46
IS - 1
SP - 41
EP - 52
LA - eng
KW - direct sum-measure; fuzzy measure; integration theory; Lebesgue integral
UR - http://eudml.org/doc/31675
ER -

References

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  1. DUBOIS D.-PRADE H., Review of fuzzy set aggregation connectives, Inform. Sci. 36 (1985), 85-121. (1985) Zbl0582.03040MR0813766
  2. ICHIHASHI H.-TANAKA H.-ASAI K., Fuzzy integrals based on pseudo-addition and multiplication, J. Math. Anal. Appl. 130 (1988), 354-364. (1988) MR0929941
  3. KLEMENT E. P.-WEBER S., Generalized measures, Fuzzy Sets and Systems 40 (1991), 375-394. (1991) Zbl0733.28012MR1103665
  4. KOLESÁROVÁ A., A note on the ⊕ -measure based integrals, Tatra Mountains Math. Publ. 3 (1993), 173-182. (1993) Zbl0799.28014MR1278532
  5. MARINOVÁ I., Integration with respect to a ⊕ -measure, Math. Slovaca 36 (1986), 15-24. (1986) Zbl0606.28019MR0832366
  6. MESIAR R.-PAP E., On additivity and pseudo-additivity of pseudo-additive measure based integrals, (To appear). 
  7. MESIAR R.-RYBÁRIK J., Pseudo-arithmetical operations, Tatra Mountains Math. Publ. 2 (1993), 185-192. (1993) Zbl0840.28011MR1251052
  8. PAP E., An integral generated by a decomposable measure, Zb. Rad. Prirod.-Mat. Fak. Ser. Mat. 20 (1990), 135-144. (1990) Zbl0754.28002MR1158414
  9. PAP E., g-Calculus, Zb. Rad. Prirod.-Mat. Fak. Ser. Mat. (To appear). Zbl0823.28011MR1319781
  10. RIEČANOVÁ Z., About σ -additive and σ -maxitive measures, Math. Slovaca 32 (1982). 389-395. (1982) Zbl0507.28004MR0676575
  11. SHILKRET N., Maxitive measure and integration, Indag. Math. 33 (1971), 109-116. (1971) Zbl0218.28005MR0288225
  12. SUGENO M.-MUROFUSHI T., Pseudo-additive measures and integrals, J. Math. Anal. Appl. 122 (1987), 197-222. (1987) Zbl0611.28010MR0874969
  13. WEBER S., ⊥ -decomposable measures and integrals for Archimedean t-conorm ⊥ , J. Math. Anal. Appl. 101 (1984), 114-138. (1984) MR0746230

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