Abstract | ||
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In this paper, we explore the solution of functional equations I(x, T(y, z)) = T(I(x, y), I(x, z)) and I(x, y) = I(N(y),N(x)) satisfied simultaneously, where T is a strict t-norm, I a fuzzy implication and N a strong negation. Under the assumptions of I continuous except the points (0, 0) and (1, 1), we get the full characterizations of the solutions for this functional equations. |
Year | DOI | Venue |
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2009 | 10.1109/FUZZY.2009.5277159 | FUZZ-IEEE |
Keywords | Field | DocType |
null | T-norm,Discrete mathematics,Distributive property,Fuzzy implication,Control theory,Fuzzy logic,Pure mathematics,Fuzzy set,Functional equation,Mathematics | Conference |
Volume | Issue | Citations |
null | null | 1 |
PageRank | References | Authors |
0.35 | 4 | 2 |