Fuzzy implication functions based on powers of continuous t-norms

Standard fuzzy uniform structures based on continuous t-norms

study of hash functions based on chaotic maps

توابع درهم نقش بسیار مهم در سیستم های رمزنگاری و پروتکل های امنیتی دارند. در سیستم های رمزنگاری برای دستیابی به احراز درستی و اصالت داده دو روش مورد استفاده قرار می گیرند که عبارتند از توابع رمزنگاری کلیددار و توابع درهم ساز. توابع درهم ساز، توابعی هستند که هر متن با طول دلخواه را به دنباله ای با طول ثابت تبدیل می کنند. از جمله پرکاربردترین و معروف ترین توابع درهم می توان توابع درهم ساز md4, md...

T-NORMS vs. IMPLICATION FUNCTIONS AS IMPLICATION OPERATORS IN FUZZY CONTROL

A comparative study of the implication functions and t-norms behavior when they are used as implication operators in the fuzzy control inference process is carried out in this paper. In order to do it, the widely studied application of the Inverted Pendulum is considered. Moreover, a comparison methodology of the different fuzzy logic controllers designed is defined with the purpose of get more...

Fuzzy uniform structures and continuous t-norms

We introduce and discuss a notion of fuzzy uniform structure that provides a direct link with the classical theory of uniform spaces. More exactly, for each continuous t-norm we prove that the category of all fuzzy uniform spaces in our sense (and fuzzy uniformly continuous mappings) is isomorphic to the category of uniform spaces (and uniformly continuous mappings) by means of a covariant func...

Kadec norms on spaces of continuous functions

We study the existence of pointwise Kadec renormings for Banach spaces of the form C(K). We show in particular that such a renorming exists when K is any product of compact linearly ordered spaces, extending the result for a single factor due to Haydon, Jayne, Namioka and Rogers. We show that if C(K1) has a pointwise Kadec renorming and K2 belongs to the class of spaces obtained by closing the ...