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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

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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… Click to show full abstract

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.

Keywords: relational equations; solutions fuzzy; equations regarding; uniqueness solutions; regarding max; fuzzy relational

Journal Title: Journal of Industrial and Management Optimization
Year Published: 2017

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