Powerset structures of extensional fuzzy sets in sets with similarity relations are investigated. It is proved that extensional fuzzy sets have powerset structures which are powerset theories in the category of sets with similarity relations, and some of these powerset theories are defined also by algebraic theories (monads). Between Zadeh's fuzzy powerset theory and the classical powerset theo...

This paper presents structural evidence of extensional activity in Central Alborz during Mesozoic. The structural evidence of homogenous early stage stretching such as layer-parallel to oblique boudinage of Permian and Triassic rocks in various portions of the study area accompanied by extensional-fibrous fractures were followed with more advanced extensional features. These extensional structu...

An intensionalanswer to a query is a set of characterizations of the set of database values that satisfy the query (the extensional answer). Intensional answers provide users with additional insight into the nature of standard extensional answers. In this paper we describe a method that applies database constraints to generate intensional answers. These intensional answers characterize the exte...

The shear behavior of polymers obtained by means of devices such as capillary and cone-and-plate rheometers is commonly used to assess their processing performance and as a characterization tool. However, the number of instances when two polymers have the same shear properties but perform differently during certain types of processing operations (e.g. film blowing and sheet extrusion) indicate ...

Extensional rheometry has only recently been developed into a commercially available tool with the introduction of the capillary breakup extensional rheometer (CaBER). CaBER is currently being used to measure the transient extensional viscosity evolution of mid to low-viscosity viscoelastic fluids. The elegance of capillary breakup extensional experiments lies in the simplicity of the procedure...

This paper is an attempt to develop a unifying algebraic framework for extensional theories capturing formally the informal concept of extensionality, as well as a generic automated proving technique, called extensional rewriting, that can be instantiated and then used to prove equational properties in various particular extensional theories.

In this paper we propose an approach for the extensional integration of data sources with heterogeneous representation formats. The proposed approach is based on the exploitation of a new model, called E-SDR-Network, for representing and handling, at the extensional level, heterogeneous data sources, ranging from databases to XML documents, OEM graphs and other semi-structured data. Due to the ...