We study the space of all continuous fuzzy-valued functions  from a space $X$ into the space of fuzzy numbers $(mathbb{E}sp{1},dsb{infty})$  endowed with the pointwise convergence topology.   Our results generalize the classical ones for  continuous real-valued functions.   The field of applications of this approach seems to be large, since the classical case  allows many known devices to be fi...

For Belavin's elliptic quantum R-matrix, we construct an L-operator as a set of difference operators acting on functions on the type A weight space. According to the fundamental relation RLL = LLR, the trace of the L-operator gives a commuting difference operators. We show that for the above mentioned L-operator this approach gives Macdonald type operators with elliptic theta function coefficie...

studies addressing such concepts as place, sense of place, place attachment, place identity, place dependence, rootedness, genius loci, topophilia, and place-making can be found in count-less disciplinary and applied fields devoted to the design, planning, stewardship, and restoration of places that vary in kind and scale from homes, neighborhoods, and cities to parks, and ecosystems. this arti...

Generalising Nachbin's theory of ``topology and order'', in this paper we   continue the study of quantale-enriched categories equipped with a compact   Hausdorff topology. We compare these $V$-categorical compact Hausdorff spaces   with ultrafilter-quantale-enriched categories, and show that the presence of a   compact Hausdorff topology guarantees Cauchy completeness and (suitably   defined) ...

Model checking is an automatic technique for software verification through which all reachable states are generated from an initial state to finding errors and desirable patterns. In the model checking approach, the behavior and structure of system should be modeled. Graph transformation system is a graphical formal modeling language to specify and model the system. However, modeling of large s...

New Urbanism design principles have been adopted for many urban planning efforts in recent years. The purpose of this paper is studding the structure and space of Shahid Beheshti Square as one of the most important and old squares of Tabriz from the view of new urbanism principals. In order to reaching this purpose the data were collected through a questionnaire distributed among peoples that a...

We describe necessary and sufficient conditions for a knot in an L-space to have an L-space homology sphere surgery. We use these conditions to reformulate a conjecture of Berge about which knots in S admit lens space surgeries.