Comparison of fuzzy numbers ranking methods

• Autorzy: Tyrała R.
• Języki publikacji: EN

Abstrakty

EN

The paper compares fuzzy numbers ranking methods used in recent papers. We present modified attributes and a canonical representation of any fuzzy number by a trapezoidal one. Moreover, fuzzy numbers with the same attributes are ranked with the use of new attribute describing a difference between the considered fuzzy number and its canonical representation.

Słowa kluczowe

EN

fuzzy numbers; fuzzy sets; approximation

PL

liczby rozmyte; zbiory rozmyte; aproksymacja

• Wydawca: Wydawnictwo Uniwersytetu Humanistyczno-Przyrodniczego im. Jana Długosza w Częstochowie
• Czasopismo: Scientific Issues of Jan Długosz University in Częstochowa. Mathematics
• Rocznik: 2008
• Tom: Vol. 13
• Strony: 93--111
• Opis fizyczny: Bibliogr. 9 poz.

Twórcy

autor

Tyrała R.

• Department of Mathematics Silesian University ul. Bankowa 14 40-007 Katowice, Poland

Bibliografia

• [1] S. Chanas. On interval approximation of fuzzy number. Fuzzy Sets Syst. 122, 353-356, 2001.
• [2] M. Delgado, M.A. Vila, W. Voxman. On a canonical representation of fuzzy numbers. Fuzzy Sets Syst. 93, 125 135, 1998.
• [3] M. Delgado, M.A. Vila, W. Voxman. A fuzziness measure for fuzzy numbers: Applications. Fuzzy Sets Syst. 94, 205 216, 1998.
• [4] D. Dubois, H. Prade. A unified view of ranking techniques for fuzzy numbers. Proc. IEEE Int. Con. Fuzzy Syst., Seoul, Korea, 1328-1333, 1999.
• [5] R. Goetschel, W. Voxman. Topological properties of fuzzy numbers. Fuzzy Sets Syst. 9, 87-99, 1983.
• [6] R. Goetschel, W. Voxman. Elementary fuzzy calculus. Fuzzy Sets Syst. 18, 31-34, 1986.
• [7] P. Grzegorzewski. Metrics and orders in space of fuzzy numbers. Fuzzy Sets Syst. 97, 83 94, 1998.
• [8] M. Modarres, S. Sadi-Nezhad. Ranking fuzzy numbers by preference ratio. Fuzzy Sets Syst. 118, 429 436, 2001.
• [9] X. Wang, E.E. Kerre. Reasonable properties for the ordering of fuzzy quantities (I),(II). Fuzzy Sets Syst. 118, 375-385, 387 405, 2001.