MODEL OF RATING OF NON PHYSICAL QUANTITY
https://doi.org/10.21122/2309-4923-2017-4-39-44
Abstract
Physical quantities are distinguished from non-physical quantities the method of measurement. In addition, when measuring physical quantities, the concept of identical objects is considered. For example, is equally likely outcomes in classical probability theory or equality of scale interval of a measuring scale. For nonphysical size we will take measurements by subjective estimation in an order scale, but also to use an undefined notion of the sequence of equally different objects. This approach has been used successfully in some researches for subjective characteristics of the objects. For example, the sequence of stars in the sky of various brightness or levels of difficulty of the test. The numbers of members of such a sequence are called ratings. Having defined rating, it is possible to find values of size if to consider that to equally different objects there corresponds the identical result of paired comparison. As the expert compares objects, without determining the sizes of objects, it is natural to assume that the way of comparison is not known to him. It means that as mathematical model we defined an indirect way of finding of values of nonphysical size at an unknown way of comparison. Having chosen a way of comparison, each object can put number which we will call the subjective size of an object in compliance. In a metrology of ways of numerical comparison of physical quantities only two is a difference and the relation. Therefore at assessment of subjective sizes we will be limited in two ways – a difference and the relation of the sizes of sizes.
As an example of application of the theory the functional communication, between physical quantity and nonphysical size, established by empirical laws is analyzed. It is noted that Fekhner and Stephens’s empirical laws use a difference or the relation of subjective sizes. But the difference or the relations of sizes can be expressed through the difference of ratings. Therefore there is an opportunity for each law to receive a ratio between the difference of ratings and physical quantity. Coincidence of two laws of Fekhner and Stephens, after transition to rating, confirms reliability of our model.
About the Author
V. M. Romanchak
Belarusian National Technical University
Belarus
Belarus
Ramanchak Vasily Mikhaylovich - associate professor of engineering mathematics of BNTU, candidate of physical and mathematical sciences
References
1. Shishkin I. F. P. 1. Common theory of measurements: The textbook for higher education institutions. – 4 prod., reslave. and additional / I. F. Shishkin. – SPb.: St. Petersburg publishing house, 2010. – 192 pages.
2. Shishkin I. F. Subjective measurements // Ekonomik of quality. – 2015. – No. 11–12. – Page 48–58.
3. Shishkin I. F. Measurements of nonphysical sizes (measurements in a noosphere)// the Online magazine of a «Ekonomik of quality ≫. Access mode: www.eq-journal.ru. – 2016. – No. 2 (14).
4. Gusev A. N., Utochkin I. S. Psychological measurements: Theory. Methods: All-psychological practical work / A. N. Gusev, I. S. Utochkin. – M.: Aspect Press, 2011. – 317 pages.
5. Fekhner G. T. About a formula of measurement of feelings // Problems and methods of psychophysis / Under the editorship of A. G. Asmolov, M. B. Mikhalevskaya. M.: MSU publishing house, 1974. Page 13–19.
6. Stephens S. S. About the psychophysical law // Problems and methods of psychophysis / Under the editorship of A. G. Asmolov, M. B. Mikhalevskaya. M.: MSU publishing house, 1974. Page 56–102.
7. Berri A. Short history of astronomy. M.: Gostekhizdat, 1946. The lane from English Zaymovsky S. G. / A. Berri. – OGIZ, M-l., 1946. – 363 pages.
8. I. G. Chernorutsky. Decision-making methods. SPb.: BHV-Petersburg, 2005–416 p.
9. Saaty T. Decision making. Method of the analysis of hierarchies: The lane with English – M.: Radio and communication, 1989. – 316 pages.
10. The method of paired comparison: with the annex to Russian translation / H. A. David. – Moscow: Statistics, 1978. – 144 pages.
11. Kinney R. L., Rayfa H. A decision making at many criteria: preferences and replacements. M.: Radio and communication, 1981. – 560 pages.
12. Quality management methods. Methodology of management of risk of standardization P. S. Serenkov, V. L. Gurevich, V. M. Romanchak, etc. / P. S. Serenkov. – Minsk: New knowledge; Moscow: INFRA-M, 2011. – 491 p.
13. Introduction to the classical and modern theory of tests/L. Crocker; Algina J. – Moscow: Lagos, 2010. – 668 pages.
14. Tulupyev A. L., Nikolenko S. I., Sirotkin A. V. Bayesian Networks: A Probabilistic Logic Approach. – St. Petersburg: Nauka, 2006. – 607 p.
15. Shtovba S. D. Fuzzy systems designing by means of MATLAB. M: Goryachaya liniya – Telekom. M., 2007. – 288 p.
Review
For citations:
Romanchak V.M. MODEL OF RATING OF NON PHYSICAL QUANTITY. «System analysis and applied information science». 2017;(4):39-44. (In Russ.) https://doi.org/10.21122/2309-4923-2017-4-39-44
Views:
934
Email this article 