期刊文献+

有界格上三角范数的凸并

On the convex combinations of triangular norms on bounded lattices
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摘要 研究了有界格L上的二元运算的性质α-可移性,且运用α-可移性证明了有界格L上2个t-范数的凸并亦为t-范数,其中之一为不连续的. Studied the property of α- migrativity on binary operations L,by using of the property of α -migrativity, proven that the means of convex combinations of two t - norms is t - norms, one of them being discontinious.
出处 《高师理科学刊》 2009年第1期19-21,共3页 Journal of Science of Teachers'College and University
基金 陕西省自然科学基金资助项目(07A19)
关键词 三角范数 凸并 结合律 triangular norm convex combination associativity
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参考文献5

  • 1Alsina C, Frank M J, Schweizer B. Problems on associative functions[J]. Aequationes Math., 2003, 66: 128-140.
  • 2Jenei S. On the convex combination of left-continuous t-norms[J]. Aequationes Math., 2006, 72 : 47-59.
  • 3Fabrizio Durante, Peter Sarkoci. A note on the convex combinations of triangular norms[J]. Fuzzy sets and systems, 2008, 159: 77-80.
  • 4Zhang D. Triangular norms on partially ordered sets[J]. Fuzzy Sets and Systems, 2005, 156:2 195-2 209.
  • 5Susanne Saminger. On ordinal sums of triangular norms on bounded lattices[J]. Fuzzy Sets and Systems, 2006, 157:1 403-1 416.

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