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Some properties of minimal solutions for a fuzzy relation equation |
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| Authors: | Hideyuki Imai Masaaki Miyakoshi Tsutomu Da-te |
| Institution: | Department of Information Engineering, Faculty of Engineering, Hokkaido University, Sapporo 060, Japan |
| Abstract: | Some properties of the solution set and minimal solutions of a fuzzy relation equation are considered. In this paper, we show the necessary and sufficient condition for existence of a minimal solution of a finite fuzzy relation equation defined on infinite index sets. |
| Keywords: | Fuzzy relation equation Minimal solutions |
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