DocumentCode
2137703
Title
A calculation method for solving fuzzy arithmetic equations with triangular norms
Author
Kawaguchi, Mayuka F. ; Da-Te, Tsutomu
Author_Institution
Dept. of Inf. Eng., Hokkaido Univ., Sapporo, Japan
fYear
1993
fDate
1993
Firstpage
470
Abstract
The authors apply a previously developed calculation method using a digital representation to obtain an approximate solution to a fuzzy arithmetic equation. A t-norm and a φ-operator which is defined in connection with a given t-norm are summarized. Nonstandard operations based on the inf-φ convolution are discussed as a solution for the fuzzy arithmetic equation. Formulas involving the solution of the equations as well as the classifications of t-norms and φ-operators that are necessary for applying the formulas are presented. Some numerical examples are included
Keywords
fuzzy set theory; φ-operator; approximate solution; calculation method; digital representation; fuzzy arithmetic equations; inf-φ convolution; nonstandard operations; t-norm; triangular norms; Convolution; Digital arithmetic; Equations; Fuzzy sets; Linear programming;
fLanguage
English
Publisher
ieee
Conference_Titel
Fuzzy Systems, 1993., Second IEEE International Conference on
Conference_Location
San Francisco, CA
Print_ISBN
0-7803-0614-7
Type
conf
DOI
10.1109/FUZZY.1993.327513
Filename
327513
Link To Document