Thus, it is aimed to contribute to the development of virtual fuzzy parametrized fuzzy soft set theory. To construct a topological structure on virtual fuzzy parametrized fuzzy soft sets, the concepts of point, quasi-coincident and mapping are first defined for this set theory and some of its ...
Sobriety of quantale-valued cotopological spaces 2018, Fuzzy Sets and Systems Citation Excerpt : Most of the existing works focus on the frame approach; that is, to find a fuzzy counterpart of the category Frm of frames, then establish an adjunction between the category of fuzzy topological spa...
We illustrate this usage by adapting in this way a well-known algorithm for fuzzy community detection problems, extending it to also deal with overlapping community detection problems and produce a ranking of the overlapping nodes. Some computational experiments show the feasibility of the proposed ...
To extend application of the fuzzy rough set model, fuzzy implications were introduced into fuzzy rough set theory. Morsi and Yakout [15] presented a more general approach to extend the fuzzy rough set model, and they provided the concept of (I , T )-fuzzy rough sets, which are defined ...
optimization designs. Structural topology optimization aims to determine the optimal distribution of structural materials based on constraints, loads. From a macroscopic perspective, topology optimization encompasses not only the section and geometry of the structure but also its composition in terms of ...
However, the problem with topological methods is that they cannot examine more than one network structure to determine the centrality of a node. On the other hand, the lack of rich data is the problem of the machine learning method. Therefore, to overcome the mentioned problems, it can be ...
Large Language Models as Topological Structure Enhancers for Text-Attributed Graphs. preprint Shengyin Sun, Yuxiang Ren, Chen Ma, Xuecang Zhang. [PDF], 2023.11, A Comprehensive Study on Text-attributed Graphs: Benchmarking and Rethinking. NeurIPS 2023 Hao Yan, Chaozhuo Li, Ruosong Long, Chao ...
Asbóth, László Oroszlány and András Pályi A Short Course on Topological InsulatorsBand Structure and Edge States in One and Two Dimensions1st ed. 2016 János K. Asbóth Wigner Research Centre for Physics, Hungarian Academy of Sciences, Budapest, Hungary László Oroszlány Department of Physics...
This paper presents a formal characterization of the major concepts and constructs of fuzzy logic in terms of notions of distance, closeness, and similarity between pairs of possible worlds. The formalism is a direct extension (by recognition of multiple degrees of accessibility, conceivability, or ...
The axiom is true for all set’s elements (totally true) (as in classical algebraic structures; this is a classical Axiom). The axiom if true for some elements, indeterminate for other elements, and false for other elements (this is NeutroAxiom). ...