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Uniqueness of solutions to fuzzy relational equations regarding max-av composition and strong regularity of the matrices in max-av algebra. (English) Zbl 1412.34005

Summary: The problem of solving a fuzzy relational equation plays an important role in fuzzy systems. In this paper, we investigate the uniqueness of solutions of fuzzy relational equations regarding max-av composition through the relationship between minimal solutions and minimal coverage. A method for verifying the strong regularity of matrices in fuzzy max-av algebra is proposed in the paper.

MSC:

34A07 Fuzzy ordinary differential equations
49N60 Regularity of solutions in optimal control
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