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• W1976430007 abstract "Lately, the sup-t-norm composition of fuzzy relations has been used instead of the well-known max–min. Thus, there is a need for methods of studying and solving sup-t-norm fuzzy relation equations (t is any t-norm). In this paper, the solution existence problem is first studied and solvability criteria for composite fuzzy relation equations of any t-norm are given. Then, a methodology for solving fuzzy relation equations based on sup-t composition, where t is an Archimedean t-norm, is proposed. This resolution method is simpler and faster than those proposed for covering all the continuous t-norms. The result is important, since, as is shown in the paper, the only continuous t-norm that is not Archimedean is the “minimum”." @default.
• W1976430007 created "2016-06-24" @default.
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• W1976430007 date "2001-06-01" @default.
• W1976430007 modified "2023-09-28" @default.
• W1976430007 title "Resolution of composite fuzzy relation equations based on Archimedean triangular norms" @default.
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• W1976430007 doi "https://doi.org/10.1016/s0165-0114(99)00117-7" @default.
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