Fuzzy closure systems: Motivation, definition and properties
نویسندگان
چکیده
The aim of this paper is to extend closure systems from being crisp sets with certain fuzzy properties proper sets. presentation the shows a thorough discussion on different alternatives that could be taken define desired systems. These plausible are discarded if they proven impossible in bijective correspondence operators. Finally, definition system established and one-to-one relation operators proved.
منابع مشابه
Fuzzy Closure Systems and Fuzzy Closure Operators
We introduce fuzzy closure systems and fuzzy closure operators as extensions of closure systems and closure operators. We study relationships between fuzzy closure systems and fuzzy closure spaces. In particular, two families F (S) and F (C) of fuzzy closure systems and fuzzy closure operators on X are complete lattice isomorphic.
متن کاملsome properties of fuzzy hilbert spaces and norm of operators
in this thesis, at first we investigate the bounded inverse theorem on fuzzy normed linear spaces and study the set of all compact operators on these spaces. then we introduce the notions of fuzzy boundedness and investigate a new norm operators and the relationship between continuity and boundedness. and, we show that the space of all fuzzy bounded operators is complete. finally, we define...
15 صفحه اولOpening and Closure Operators of Fuzzy Relations: Basic Properties and Applications to Fuzzy Rule-Based Systems
Images of fuzzy sets under fuzzy relations have been investigated mainly in two contexts: On the one hand, mostly under the term “full image” [5], they can be regarded as very general tools for fuzzy inference, leading to the so-called “compositional rule of inference” [1, 5]. On the other hand, under the term “extensional hull”, the image of a fuzzy set under a fuzzy equivalence relation yield...
متن کاملOn Closure Operators in Fuzzy Algebras and Fuzzy Deductive Systems
The starting point of this paper is the classical well-known theorem due to G. BIRKHOFF, P. HALL, and J. SCHMIDT which establishes a one-to-one correspondence between compact closure operators, inductive closure operators, inductive closure systems, and closure operators generated in universal algebras (and generated in deductive systems, respectively). In the paper presented we make first step...
متن کاملMulti-adjoint fuzzy rough sets: Definition, properties and attribute selection
Article history: Received 18 September 2012 Received in revised form 13 July 2013 Accepted 1 September 2013 Available online 20 September 2013
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: International Journal of Approximate Reasoning
سال: 2022
ISSN: ['1873-4731', '0888-613X']
DOI: https://doi.org/10.1016/j.ijar.2022.06.004