On generalized fuzzy relational equations and their applications |
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Authors: | Witold Pedrycz |
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Institution: | Department of Mathematics, r. 2408, Delft University of Technology, Julianalaan 132 2628 BL Delft, The Netherlands |
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Abstract: | The paper provides an idea of generalization of fuzzy relational equations where t- and s-norms are introduced. The first part contains an extensive presentation of the resolution of fuzzy relational equations; next the solutions are specified for a list of several triangular norms. Moreover the dual equations are considered. The second part deals with the applicational aspects of these equations in systems analysis, decision-making, and arithmetic of fuzzy numbers. |
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