EVALUATION OF EXPERT JUDGEMENTS CONSISTENCY WHEN CONSTRUCTING A MEMBERSHIP FUNCTION OF FUZZY SET USING THE METHOD OF LEVEL SETS
Abstract
The article deals with one of the expert methods for construction of a membership function of fuzzy set – method of level sets, developed by R. Yager. The feasibility of improving of this method, by adding a procedure for evaluation of consistency of expert judgements, is justified. With this purpose an approach is proposed, which is based on evaluation of judgements consistency degree for each element of fuzzy set separately. The criterion for evaluation of sufficiency of consistency degree is obtained and justified. The examples of application of the described approach are made.
References
2. Dubois D., Prade H. Fundamentals of Fuzzy Sets. – Springer Science & Business Media, 2012. – 647 p.
3. Saaty T.L. Exploring the interface between hierarchies, multiple objectives and fuzzy sets // Fuzzy Sets and Systems, 1978, Vol 1 (1). – Р. 57-68.
4. Yager R.R. Level sets for membership evaluation of fuzzy subset / R.R. Yager // Fuzzy Sets and Possibility Theory: Recent Developments (R.R. Yager, ed.) – Pergamon, NewYork, 1982. – P. 90-97.
5. Jager R.R. Mnozhestva urovnja dlja ocenki prinadlezhnosti ne-chetkih podmnozhestv // Nechetkie mnozhestva i teorija vozmozhnostej. Poslednie dostizhenija: per. s angl. / pod red. R.R. Jagera. – M.: Radio i svjaz', 1986. – S. 71-78.
6. Bauters K., Liu W., Godo L. Anytime algorithms for solving possibilistic MDPs and hybrid MDPs // Foundations of Information and Knowledge Systems, 2016, P. 24-41.
7. Dubois D., Prade H., Smets P. A definition of subjective possibility // International Journal of Approximate Reasoning, 2008, Vol. 48 (2) – P. 352-364.
8. Andrjushhenko V.A. Metod modelirovanija nepreryvnyh nechetkih velichin po jeksperimental'nym dannym // Nauka i progress transporta. Vestnik Dnepropetrovskogo nacional'nogo universiteta zheleznodorozhnogo transporta, 2008, №24. – S. 146-149.
9. Erohin, D.V. Strategicheskoe upravlenie innovacionnoj dejatel'nost'ju predprijatija: monografija / D.V. Erohin, D.G. Lagerev, E.A. Laricheva, A.G. Podvesovskij. – Brjansk: BGTU, 2010. – 196 s.
This work is licensed under a Creative Commons Attribution 4.0 International License.
Publication policy of the journal is based on traditional ethical principles of the Russian scientific periodicals and is built in terms of ethical norms of editors and publishers work stated in Code of Conduct and Best Practice Guidelines for Journal Editors and Code of Conduct for Journal Publishers, developed by the Committee on Publication Ethics (COPE). In the course of publishing editorial board of the journal is led by international rules for copyright protection, statutory regulations of the Russian Federation as well as international standards of publishing.
Authors publishing articles in this journal agree to the following: They retain copyright and grant the journal right of first publication of the work, which is automatically licensed under the Creative Commons Attribution License (CC BY license). Users can use, reuse and build upon the material published in this journal provided that such uses are fully attributed.
