... of the evolving process. Then through numerical analysis, the impact of evolving effects on urban roadway network topology structure is discussed from the aspects of preferential attachment, module scale and module structure. Findings – The module structure property, small-world property and scale-free...

... in complex thought-ecologies. Ethics Sustainability Cybernetics Learning Ecology Topology This paper reflects on considerations occurring in practice when enabling systemic sustainability conversations in large-scale social systems. These rare occasions for learning and change occur when...

... compactness. Research limitations/implications Clearly, this paper is devoted to fuzzy topological spaces. Practical implications The main applications are in the mathematical field. Originality/value The paper presents original results on fuzzy topology. In this paper, we obtain an axiomatic...

... triangulation and demonstrate how to control a space‐time dynamics of excitation on the triangulation using absolute and relative excitability thresholds. Design/methodology/approach The paper modifies classical Greenberg‐Hasting model to topology of Delaunay triangulations and considers not only...

...Francisco Gallego Lupiáñez Purpose Recently, F. Smarandache generalized the Atanassov's intuitionistic fuzzy sets and other kinds of sets to neutrosophic sets (NSs). Also, this author introduced a general definition of neutrosophic topology. On the other hand, there exist various kinds...

...Francisco Gallego Lupiáñez Purpose Recently, F. Smarandache generalized the Atanassov's intuitionistic fuzzy sets (IFSs) and other kinds of sets to neutrosophic sets (NSs) and also defined various notions of neutrosophic topologies on the non‐standard interval. One can expect some relation between...

... The paper introduces the new concept of V‐dense curve (VDC), a generalization of that of α‐dense curve, to densify subsets of topological vector spaces not necessarily metrisable. It is proved that the feasible set of the M‐problem, namely the subset D...

... principle, pansystems clustering and its fuzzy embodiment, pansystems topology and approximation to fuzziness, relative unification of fuzziness and roughness. Findings Zadeh extension principle about fuzziness transmission can be considered as a specific model of pansystems extremum principle, and so...

..., and studied various properties. The notion of neutrosophic topology on the non‐standard interval is also due to Smarandache. The purpose of this paper is to study relations between INSs and topology. Design/methodology/approach The paper investigates the possible relations between INSs and topology...

...Francisco Gallego Lupiáñez Purpose Recently, Smarandache generalized the Atanassov's intuitionistic fuzzy sets (IFSs) and other kinds of sets to neutrosophic sets (NSs). Also, this author defined the notion of neutrosophic topology on the non‐standard interval. One can expect some relation between...

...Francisco Gallego Lupiáñez Purpose D.Çoker constructed the fundamental theory of intuitionistic fuzzy topological spaces. The purpose of this paper is to introduce a new concept of compactness and a definition of paracompactness for intuitionistic fuzzy topological spaces, and obtain several...

... The paper shows several properties of some new fuzzy maps. Findings The paper shows new results on fuzzy maps and various notios of fuzzy connectedness. Research limitations/implications Clearly, this paper is devoted to fuzzy topological spaces. Practical implications The main applications...

...Masudul Alam Choudhury; S.I. Zaman Purpose This is an exploratory analytical paper. It aims to show how systemic learning is explained formally by evolutionary sets and topologies of ordinal values of knowledge‐flows, the knowledge‐induced socio‐scientific variables and the relational mappings...

...Matjaz Mulej; Eufrosina Otlacan; Romulus‐Petru Otlacan Purpose To explain the objectivity of the globalisation process by using the mathematical theory of topological structures. Design/methodology/approach After a brief presentation of the history and features of the globalisation phenomena...

... is done through several stages stated in a form of lemmas. The set of controllable affine systems C_a is connexe. Abdelouahab Kadem can be contacted at: abdelouahabk@yahoo.fr © Emerald Group Publishing Limited 2006 Cybernetics Topology Homogeneous...

..., the results obtained by various authors on intuitionistic fuzzy topological spaces (IFTSs), are not redundant with others for the ordinary fuzzy sense. Design/methodology/approach The most important definitions and results on intuitionistic fuzzy topology (IFT) one compared with the result obtained...

...Yongli Li; Zhilin Li; Yong‐qi Chen; Xiaoxia Li The study of spatial entities needs a model that is not only fully observable and controllable, but also computable. Euclidean topology on R² is a usually used tool for this study, but it has the following two weaknesses. First, there exists...

... with their conditions of validity and range of application to topological spaces. The existence of a Boolean lattice with fractal properties originating from non‐wellfounded properties of the empty set is demonstrated. This lattice provides a substratum with both discrete and continuous properties from which existence...

...Xiaolong Wu; Dinghe Guo; Jinghong Pan; Xuemou Wu In this paper, we will introduce charm pansystems and provide mathematical models for panweighted field‐network. Various mathematical models of pansystems will be discussed. Some traditional mathematical concepts such as topology space and rough sets...

... Artificial neural networks Cybernetics Learning Fractals Topology As reviewed in his address to the WOSC Congress, the work of Prigogine and his followers has contributed greatly to understanding of self‐organisation from the viewpoint of thermodynamics and cosmology. The above discussion of self...