Questionnaires with the ‘bar’ in social sciences

Vougiouklis & Vougiouklis have proposed the replacement of Likert scales, usually used in questionnaires, with a bar. With this proposal a discrete situation is replaced by a fuzzy one. There are identified certain advantages concerning the use of the bar as compared to that of a scale during both the stages of filling-in as well as processing a questionnaire. The main advantage is the fact that it is much quicker to fill in and much easier to explain to participants. The bar provides the potential for different types of processing Likert scales cannot offer. Therefore the researchers are allowed to ascertain that the given answers follow the Gauss or a parabola distribution, and they have the opportunity to ‘correct’ this tendency. In this research it is offered a possibility of choosing amongst a number of alternatives by utilizing fuzzy logic in the same way as it has already been done in industry and combining mathematical models with multivalued operations. Finally, the suggested method is applied in a Course and Teaching Evaluation process by the students of Democritus University of Thrace

Helix-Hopes on Finite Hyperfields

Hyperstructure theory can overcome restrictions which ordinary algebraic structures have. A hyperproduct on non-square ordinary matrices can be defined by using the so called helix-hyperoperations. We study the helix-hyperstructures on the representations using ordinary fields. The related theory can be faced by defining the hyperproduct on the set of non square matrices. The main tools of the Hyperstructure Theory are the fundamental relations which connect the largest class of hyperstructures, the Hv-structures, with the corresponding classical ones. We focus on finite dimensional helix-hyperstructures and on small Hv-fields, as well.

Minimal Hv-Fields

Hyperstructures have applications in mathematics and in other sciences, which range from biology, hadronic physics, leptons, linguistics, sociology, to mention but a few. For this, the largest class of the hyperstructures, the Hv-structures, is used. They satisfy the weak axioms where the non-empty intersection replaces equality. The fundamental relations connect, by quotients, the Hv-structures with the classical ones. Hv-numbers are elements of Hv-field, and they are used in representation theory. We focus on minimal Hv-fields

Bar and Theta Hyperoperations

In questionnaires the replacement of the scale of Likert by a bar was suggested in 2008 by Vougiouklis & Vougiouklis. The use of the bar was rapidly accepted in social sciences. The bar is closely related with fuzzy theory and has several advantages during both the filling-in questionnaires and mainly in the research processing. In this paper we relate hyperstructure theory with questionnaires and we study the obtained hyperstructures which are used as an organising device of the problem

A HYPEROPERATION DEFINED ON A GROUPOID EQUIPPED WITH A MAP

The Hv-structures are hyperstructures where the equality is replaced by the non-empty intersection. The fact that this class of the hyperstructures is very large, one can use it in order to define several objects that they are not possible to be defined in the classical hypergroup theory. In the present paper we introduce a kind of hyperoperations which are defined on a set equipped with an operation or a hyperoperation and a map on itself

Philosophical suggestions by the single elements

The largest class of hyperstructures is the one which satisfy the weak properties. These are called Hv-structures introduced in 1990 and they proved to have a lot of applications on several applied sciences. Special classes of elements appeared to have new interesting properties applicable in other sciences. We present some results on hyperstructures containing ‘single’ elements, and some new constructions.Keywords: hyperstructures; Hv-structures; single elements

Hv-semigroups as noise pollution models in urban areas

Poor urban planning may give rise to noise pollution, since side by side industrial and residential buildings can result in noise pollution in the residential area. In this paper we represent the noise pollution with an Hv-semigroup. More specic, we introduce the concept of right reproductive Hv-semigroup which seems to be a useful tool to study the noise pollution problem in urban areas

Hyperstructures in Lie-Santilli Admissibility and Iso-Theories

In the quiver of hyperstructures Professor R. M. Santilli, in early 90'es, tried to find algebraic structures in order to express his pioneer Lie-Santilli's Theory. Santilli's theory on 'isotopies' and 'genotopies', born in 1960's, desperately needs 'units e' on left or right, which are nowhere singular, symmetric, real-valued, positive-defined for n-dimensional matrices based on the so called isofields.These elements can be found in hyperstructure theory, especially in $H_v$-structure theory introduced in 1990. This connection appeared first in 1996 and actually several $H_v$-fields, the e-hyperfields, can be used as isofields or genofields so as, in such way they should cover additional properties and satisfy more restrictions. Several large classes of hyperstructures as the P-hyperfields, can be used in Lie-Santilli's theory when multivalued problems appeared, either in finite or in infinite case. We review some of these topics and we present the Lie-Santilli admissibility in Hyperstructures

Η V&V ράβδος ως μέσο αμέσου και ‘ειλικρινούς’ μεταφοράς του αισθητού στο ιδεατό

The VV bar is a tool for completing and editing questionnaires, an alternative to Likert scales. It was introduced in 2008 and since then many of the aspects and possibilities it provides to both researchers and informants have been highlighted and studied, in terms of completing and processing the questionnaires. Its main advantages are the drastic reduction of the time of filling in the questionnaires, the avoidance of verbal characterizations of the subdivisions, e.g. good enough, good, very good, excellent, and, finally, the many possibilities of data processing to make them comparable to other researchers’. In other words, it is a record of a subjective situation or phenomenon, so close to the objective that we dare to call it 'sincere'. With this presentation we will try to highlight the last, mainly, advantage in the research of Applied Linguistics