DocumentCode
2275948
Title
A necessary condition for solvability of fuzzy arithmetic equations with triangular norms
Author
Kawaguchi, Mayuka F. ; Da-Te, Tsutomu ; Nonaka, Hidetoshi
Author_Institution
Dept. of Inf. Eng., Hokkaido Univ., Sapporo, Japan
fYear
1994
fDate
26-29 Jun 1994
Firstpage
1148
Abstract
This paper treats a fuzzy arithmetic equation based on sup-(t-norm) convolution. The authors have investigated the properties of the procedure to solve the equation (i.e. inf- φ convolution) and discussed its solvability. A necessary condition for solving the equations involving addition and multiplication has been derived as the main result of this work
Keywords
computability; fuzzy set theory; addition; fuzzy arithmetic equations; multiplication; necessary condition; solvability; sup-(t-norm) convolution; triangular norms; Arithmetic; Convolution; Equations; Fuzzy sets; Fuzzy systems; Uncertainty;
fLanguage
English
Publisher
ieee
Conference_Titel
Fuzzy Systems, 1994. IEEE World Congress on Computational Intelligence., Proceedings of the Third IEEE Conference on
Conference_Location
Orlando, FL
Print_ISBN
0-7803-1896-X
Type
conf
DOI
10.1109/FUZZY.1994.343896
Filename
343896
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