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Pure Mathematics 2024
模糊f代数的基本性质研究
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Abstract:
本文首先讨论了模糊f代数中任意不交补是模糊双边理想，并且研究了在模糊f代数中，结合律成立的情况下的部分关系式。然后给出了模糊正交算子的定义，并研究了两个模糊正交算子相等的条件。最后介绍了模糊Archimedean-f代数，并讨论其中f2和fg等于零时的条件。
This article first discussed that any disjoint complement in fuzzy f algebra is a fuzzy l-ideal, and studied some relationships in fuzzy f algebra when the associative law holds. Then, the definition of fuzzy orthogonal operators was given, and the conditions for two fuzzy orthogonal operators to be equal were studied. Finally, the fuzzy Archimedean f algebra was introduced, and the conditions under which f2 and fg equal zero were discussed.
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