Norma(标准与标准)上的直觉模糊子群性质

Rizka 'Abid Fadhiilah, Budi Surodjo
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引用次数: 1

摘要

模糊子群可以推广为直觉模糊子群和t-范数上的模糊子群。此外,直觉模糊子群和t-范数上的模糊子群可以推广为关于范数(t-范数和s-范数)的直觉模糊子群。Rasuli[8]讨论了两个直觉模糊子群关于范数(t-范数和s-范数)的范数下乘积的性质和群同态下直觉模糊子群相对于范数(t-模和s-模)的映象的性质。然而,通过给出反例,可以表明这两个性质都不是真的。在本文中,我们重新研究了两个直觉模糊子群关于范数(t-范数和s-范数)的范数(t-模和s-模)下乘积的性质,以及群同态下直觉模糊子群相对于范数(t-范和s-范)的映象的性质。本研究采用文献研究的方法。结果表明,如果t-范数和s-范数是连续的,则[8]中的两个直觉模糊子群关于范数(t-范数和s-范数)的范数下乘积的性质(t-范数与s-范数)和群同态下直觉模糊子群相对于范数(t-模和s-范数)的映象的性质是有效的。
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Sifat-Sifat Subgrup Fuzzy Intuitionistik atas Norm (t-Norm dan s-Norm)
Fuzzy subgroups can be generalized into intuitionistic fuzzy subgroups and fuzzy subgroups over t -norm. Furthermore, intuitionistic fuzzy subgroups and fuzzy subgroups over t -norm can be generalized into intuitionistic fuzzy subgroups with respect to norms ( t -norm and s -norm). The property of product under norms ( t -norm and s -norm) of two intuitionistic fuzzy subgroups with respect to norms ( t -norm and s -norm) and the property of image of intuitionistic fuzzy subgroups with respect to norms ( t -norm and s -norm) under group homomorphism were dis-cussed by Rasuli [8] . However, by giving counterexamples, it can be shown that both properties are not true. In this article, we reinvestigate the property of product under norms ( t -norm and s -norm) of two intuitionistic fuzzy subgroups with respect to norms ( t -norm and s -norm) and the property of image of intuitionistic fuzzy subgroups with respect to norms ( t -norm and s -norm) under group homomorphism. We use the literature study method in this research. The results show that the property of product under norms ( t -norm and s -norm) of two intuitionistic fuzzy subgroups with respect to norms ( t -norm and s -norm) and the property of image of intuitionistic fuzzy subgroups with respect to norms ( t -norm and s -norm) under group homomorphism in [8] can be valid if t -norm and s -norm are continuous.
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