### Questionnaires with the ‘bar’ in social sciences

#### Abstract

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.

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Chvalina, J., Hoskova, S. (2007). Modelling of join spaces with proximities by first-order linear partial differential operators. Ital. J. Pure Appl. Math. 21, 177–190.

Cohen L., Manion L, (1994). Research Methods in Education, Routledge.

Corsini P., Leoreanu V. (2003). Applications of Hypergroup Theory, Kluwer Academic Publishers.

Davvaz B., Leoreanu V. (2007). Hyperring Theory and Applications. Int. Academic Press.

Kambaki-Vougioukli P. (1992). Greek and English readers' accuracy and confidence when inferencing meanings of unknown words. Proc. 6th Inter. Symp. on the Description and/or Comparison of English and Greek, 89-112.

Kambakis-Vougiouklis P. (2010). Language and mathematical models: quotient in LT and LL research. Mare Ponticum, Vol.1, Issue 1, pp 1-10.

Kambakis-Vougiouklis P. (2011). The fuzzy area of songs in the process of teaching Greek as a foreign/second language: «έλα στην παρέα μας, φαντάρε!». Proceedings of the 9th ICL, Chicago, 370-380.

Kambakis-Vougiouklis P. (2012), SILL revisited: confidence in strategy effectiveness and use of the bar in data collecting and processing. 10th ICGL Proceedings, 342-353.

Kambaki-Vougioukli P. (2013). Bar in SILL Questionnaire for Multiple Results Processing: Users’ Frequency and Confidence, stead of scale, Sino-US English Teaching, V.10, N.3, 184-199.

Kambaki-Vougioukli P., Karakos A., Lygeros N., Vougiouklis, T.

(2011). Fuzzy instead of discrete, Annals Fuzzy Math. Inf. (AFMI). V.2, N.1, 81-89.

Kambakis-Vougiouklis P., Mamoukari P. (2014). Frequency & Confidence in Language Learning Strategy use by Greek students of English, 17th AILA World Congress (Ass. Int. Linguistique Appl.), Brisbane, Australia, 10-15.

Kambakis-Vougiouklis P., Mamoukari P. (2015). Frequency and evaluation of strategy use in SILL questionnaire through an innovative electronic application, 12th ICGL 12, Berlin, 16-19.

Kambaki-Vougioukli P., Vougiouklis T. (2008). Bar instead of scale. Ratio Sociologica, 3, 49-56.

Kambakis-Vougiouklis P., Vougiouklis T. (2010), The quiver of the algebraic mathematical models: The case of the electronic spell-cheker. Proc. Nooj 2010, Int. Conf. Workshop, Komotini, Greece, 17-28.

Lygeros N. (2009). Interrogations fondamentales sur la méthodologie du questionnaire. Perfection 1055.

Maturo A., Sciarra E., Tofan I. (2008). A formalization of some aspects of the Social Organization by means of fuzzy set theory, Ratio Sociologica, V. 1, N. 1, 5-20.

Nikolaidou P., Vougiouklis T. (2012). Hv-structures and the Bar in questionnaires, Italian J. Pure Applied Math. N.29, 341-350.

Vougiouklis T. (1994). Hyperstructures and their Representations. Monographs in Math. Hadronic Press.

Vougiouklis T. (2008). -operations and Hv-fields. Acta Mathematica Sinica. English Series, V.24, N.7, 1067-1078.

Vougiouklis T., Kambaki P. (2008). Algebraic Models in Applied Research. Jordan J. Math. Statistics, 1(1), 78-87.

Vougiouklis T., Kambakis-Vougiouklis P. (2007), Mathematical models in teaching and research. Proc. 5th Mediterranean Conf., Current Trends on Math. Education, Rhodos, Greece, pp 625-634.

Vougiouklis, T., Kambakis-Vougiouklis, P. (2013). Bar in questionnaires. Chin. Bus. Rev. 12(10), 691–697.

Vougiouklis T., Kambaki-Vougioukli P. (2011). On the Use of the Bar. China-USA Business Review, V.10, No.6, 484-489.

Zadeh, L. A. (1965). Fuzzy sets. Information and Control, 12/2, 94-102.

Zadeh L. A. (1975). The Concept of a Linguistic Variable and its Appl. to Approximate Reasoning –I, Information Sci. 8 (1975) 199-249.

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