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- Thomas Vougiouklis
- Discrete Mathematics
- 1999

The problem of the Hv-representations of Hv-groups by Hv-matrices, is presented. Classes of Hv-rings useful in the theory of representations are introduced. The advantages of some classes of the Hv-matrices in the representation theory is pointed out. c © 1999 Elsevier Science B.V. All rights reserved.

- Thomas Vougiouklis
- Discrete Mathematics
- 1996

If a hyperoperation is weak associative then every greater hyperoperation, defined on the same set, is also weak associative. Using this property, the set of all Hv-groups with a scalar unit, defined on a set with three elements is determined.

- SOFT Γ-HYPERMODULES, Jianming Zhan, V. Leoreanu-Fotea, Thomas Vougiouklis
- 2011

Soft set theory, introduced by Molodtsov, has been considered as an effective mathematical tool for modeling uncertainties. In this paper, we apply fuzzy soft sets to Γ-hypermodules. The concept of (∈γ ,∈γ ∨ qδ)-fuzzy soft Γ-subhypermodules of Γ-hypermodules is first introduced. Some new characterizations are investigated. In particular, a kind of new… (More)

- Bijan Davvaz, R. M. Santilli, Thomas Vougiouklis
- J. Comput. Meth. in Science and Engineering
- 2013

- Thomas Vougiouklis
- Discrete Mathematics
- 1997

The quiver of hyperstructures, especially very large classes of them, can be used in new scientific theories such as Ying’s twin universes. We present the largest class of hyperstructures which can be used as a model to represent the twin universe cosmos as even more new axioms or conditions are considered.

- B. Davvaz, T. Vougiouklis
- 2014

Hyperstructure theory was born in 1934 when Marty [19] defined hypergroups as a generalization of groups. Let H be a non-empty set and let ℘∗(H) be the set of all non-empty subsets of H. A hyperoperation on H is a map ◦ : H ×H −→ ℘∗(H) and the couple (H, ◦) is called a hypergroupoid. If A and B are non-empty subsets of H, then we denote A◦B = ∪ a∈A, b∈B… (More)

- Thomas Vougiouklis
- Eur. J. Comb.
- 2015

- Violeta Leoreanu Fotea, Ivo G. Rosenberg, Bijan Davvaz, Thomas Vougiouklis
- Eur. J. Comb.
- 2015

We present a hyperproduct on non square matrices by using a generalization of the well known P-hopes. This theory is connected with the corresponding classical algebra, mainly with the theory of representations by (hyper) matrices. This can be achieved by using the fundamental relations defined on the hyperstructures.