Generator-based Modifiers and Membership Functions in Nilpotent Operator Systems

机译：幂等算子系统中基于生成器的修饰符和隶属函数

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We make a suggestion to construct modifiers and membership functions from the generator function of the logical operators in a continuous-valued nilpotent logical system. This approach makes it possible to build a system by using a generator function and only a few parameters. Moreover, it can provide a theoretical foundation for the proper choice of membership functions and modifiers.

机译：我们建议从连续值幂等逻辑系统中的逻辑运算符的生成器函数构造修饰符和隶属函数。这种方法可以通过使用生成器功能和仅几个参数来构建系统。而且，它可以为正确选择隶属函数和修饰符提供理论基础。

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《IEEE International Work Conference on Bioinspired Intelligence》|2019年|000099-000106|共8页
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Orsolya Csiszár; József Dombi;
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membership function; modifier; necessity; possibility; generator function; nilpotent logical system;

机译：隶属函数;修饰符;必要性;可能性;生成器函数;幂等逻辑系统;

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专利

1. Equivalence operators in nilpotent systems [J] . Dombi J., Csiszar O. Fuzzy sets and systems . 2016,第Sepa15期

机译：幂等系统中的等价算符
2. The approximation of piecewise linear membership functions and Lukasiewicz operators [J] . Jozsef Dombi, Zsolt Gera Fuzzy sets and systems . 2005,第2期

机译：分段线性隶属函数和Lukasiewicz算子的逼近
3. FORMAL FUNCTIONAL CALCULUS FOR WEAKLY LOCALLY NILPOTENT OPERATORS IN FRECHET SPACES [J] . S. L. Gefter, A. L. Piven Journal of Mathematical Sciences . 2020,第6期

机译：FRECHET空间中弱局部零下幂算子的正式功能微积分
4. Operator-dependent Modifiers in Nilpotent Logical Systems [C] . J. Dombi, O. Csiszar International Joint Conference on Computational Intelligence . 2018

机译：尼利特逻辑系统中的操作员依赖性修饰符
5. Conformally invariant systems of differential operators associated to two-step nilpotent maximal parabolics of non-Heisenberg type. [D] . Kubo, Toshihisa. 2012

机译：与非海森堡类型的两步幂等最大抛物线相关的微分算子的保形不变系统。
6. Functional polymorphisms in genes of the Angiotensin and Serotonin systems and risk of hypertrophic cardiomyopathy: AT1R as a potential modifier [O] . Eliecer Coto, María Palacín, María Martín, 2010

机译：血管紧张素和5-羟色胺系统基因的功能多态性与肥厚型心肌病的风险：AT1R作为潜在的修饰因子
7. Equivalence operators in nilpotent systems [O] . J. Dombi, O. Csiszár 2016

机译：尼利斯系统中的等价运算符

Generator-based Modifiers and Membership Functions in Nilpotent Operator Systems

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