The goal of this paper is to introduce a novel soft hyperstructure called multi-fuzzy hyperstructure. We investigate the notion hypermodules and some their structural properties are discussed. discuss behavior image inverse set under function. According Zadeh’s extension principle, we prove that further hypermodule.

Data fusion has been shown to work very well when applied to fingerprint-based similarity searching, yet little is known of its application to maximum common substructure (MCS)-based similarity searching. Two similarity search applications of the MCS will be focused on here. Typically, the number of bonds in the MCS, as well as the bonds in the two molecules being compared, are used in a simila...

A neutrosophic hyperstructure is an algebraic structure generated by a given hyperstructure H and an indeterminacy factor I under the hyperoperation(s) of H. The objective of this paper is to study canonical hypergroups and hyperrings in which addition and multiplication are hyperoperations in a neutrosophic environment. Some basic properties of neutrosophic canonical hypergroups and neutrosoph...

Synergistic and cooperative phenomena in catalysis are defined here via a formal classification of the catalytic systems, using the combination of game theory and hyperstructure theory. Game theory is based on the idea that players are rational decision-makers; therefore, making a transposition is reported as rational, the chemical choice. Three catalytic reactions are considered as characteris...

The goal of this paper is to present some basic properties of Elattices and their connections with hyperstructure theory. 2000 Mathematics Subject Classification: Primary 06B99, Secondary 20N20.

To answer both the growth of world’s urban population and climate changes, new structural systems with high prefabrication levels renewable materials need to be developed. A novel system that could enable use modular light-frame construction in high-rise buildings was modeled analyzed. This achieved by having a hyperstructure carrying loads four-story superposed substructures. Two 20-story hype...

The GAIA framework prototype, described herein, explores the possibilities and problems that arise when combining versioning and open hypermedia paradigms. It will be argued that it by adding versioning as a separate service in the hypermedia architecture – is possible to build consistent versioning of both documents and hyperstructure. This approach eases some of the problems inherent in separ...