Fuzzy functions in fuzzy logic with fuzzy equality

Vilém Novák

Acta Mathematica et Informatica Universitatis Ostraviensis (2001)

  • Volume: 09, Issue: 1, page 59-66
  • ISSN: 1804-1388

How to cite

top

Novák, Vilém. "Fuzzy functions in fuzzy logic with fuzzy equality." Acta Mathematica et Informatica Universitatis Ostraviensis 09.1 (2001): 59-66. <http://eudml.org/doc/23850>.

@article{Novák2001,
author = {Novák, Vilém},
journal = {Acta Mathematica et Informatica Universitatis Ostraviensis},
keywords = {fuzzy equality; fuzzy function; logical approximation; fuzzy logic; Mamdani-Assilian formula; fuzzy relation; provability degree},
language = {eng},
number = {1},
pages = {59-66},
publisher = {University of Ostrava},
title = {Fuzzy functions in fuzzy logic with fuzzy equality},
url = {http://eudml.org/doc/23850},
volume = {09},
year = {2001},
}

TY - JOUR
AU - Novák, Vilém
TI - Fuzzy functions in fuzzy logic with fuzzy equality
JO - Acta Mathematica et Informatica Universitatis Ostraviensis
PY - 2001
PB - University of Ostrava
VL - 09
IS - 1
SP - 59
EP - 66
LA - eng
KW - fuzzy equality; fuzzy function; logical approximation; fuzzy logic; Mamdani-Assilian formula; fuzzy relation; provability degree
UR - http://eudml.org/doc/23850
ER -

References

top
  1. Hájek P., Metamathematics of fuzzy logic, Kluwer, Dordrecht 1998. (1998) MR1900263
  2. Klawonn F., Fuzzy Points, Fuzzy Relations and Fuzzy Functions, In: Novák, V. and I. Perfilieva (eds): Discovering the World with Fuzzy Logic. Springer, Heidelberg 2000, 431-453. Zbl1010.03045MR1858110
  3. Klawonn F., R. Kruse, Equality Relations as a Basis for Fuzzy Control, Fuzzy Sets and Systems 54 (1993), 147-156. (1993) Zbl0785.93059MR1215115
  4. Novák V., On functions in fuzzy logic with evaluated syntax, Neural Network World, 10 (2000), 869-875. 
  5. Novák V., On fuzzy equality and approximation in fuzzy logic, Submitted to Soft Computing. 
  6. Novák V., Perfilieva I., J. Močkoř, Mathematical Principles of Fuzzy Logic, Kluwer, Boston 1999. (1999) MR1733839
  7. Perfilieva I., Normal Forms for Fuzzy Logic Relations and the Best Approximation Property, Proc. Joint. Conf. EUSFLAT-ESTYLF'99, Palma de Mallorca 1999, 39-42. (1999) 
  8. Perfilieva I., Normal Forms for Fuzzy Logic Functions and Their Approximation Ability, Fuzzy Sets and Systems 124 (2001), 371-384. Zbl0994.03019MR1860857
  9. Perfilieva I., Fuzzy Relations, Functions, and Their Representation by Formulas, Neural Network World, 10 (2000), 877-890. 
  10. Shoenfield J. R., Mathematical Logic, New York: Addison-Wesley 1967. (1967) Zbl0155.01102MR0225631

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.