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Solutions to Fuzzy Operator Equations(PDF)

《南京理工大学学报》(自然科学版)[ISSN:1005-9830/CN:32-1397/N]

Issue:
2004年03期
Page:
329-332
Research Field:
Publishing date:

Info

Title:
Solutions to Fuzzy Operator Equations
Author(s):
ZHU Yuan guo
School of Sciences,NUST,Nanjing 210094,China
Keywords:
fuzzy operators fuzzy variables fuzzy sets
PACS:
O29
DOI:
-
Abstract:
Some mathemat ical models for pract ical problems are setvalued operator equat ions. In uncertain cases, there are uncertainty variables in equations w hile fuzzy case is important aspect of study. The existence of solution to a class of fuzzy operator equat ions is investigated and an algorithm is given. The fuzzy operators are defined in fuzzy set s. T heir membership funct ions are established by fuzzy v ariables.

References:

[ 1] Liu B. Theor y and pract ice of uncertain prog ramming[ M] . Heidelberg: Physica-Verlag, 2002.
[ 2] Aubin J P, Ekeland I. Applied nonlinear analysis[M] . New Yor k: John Wiley & Sons, 1984.
[ 3] Huang X, Xiao J, Lei J. Iter at ive method for a kind of multivalued operator equation[ J] . Acta Anal Functionals Appl, 2001, 3( 2) : 159~ 163.

Memo

Memo:
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Last Update: 2013-03-11