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
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;
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
DOI :
10.1109/FUZZY.1994.343896
