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: 0139-9918

How to cite

top

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

top
  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

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.