Multi-criterial optimization of information granules in fuzzy If-Then rules.

Authors

R.A Aliev, Joint MBA Program, Azerbaijan State Oil and Industry University, Azerbaijan, Georgia State University, USA Baku, 20 Azadlig Ave., AZ1010, AzerbaijanFollow
O.H Huseynov, Research Laboratory of Intelligent Control and Decision Making Systems in Industry and Economics, Azerbaijan State Oil and Industry University, AzerbaijanFollow
Nigar E. Adilova, Joint MBA Program, Azerbaijan State Oil and Industry University, Azerbaijan, Georgia State University, USA, Baku, 20 Azadlig Ave., AZ1010, AzerbaijanFollow

Abstract

Investigation of trade-off between characteristics of information granules for construction of fuzzy rule-based model is challenging scientific problem. Main optimization requirement in information granules estimation (antecedent and consequent parts of fuzzy rules) are cardinality which characterizes justifiability (reliability) of information granules in light of the available experimental data and specificity that characterizes semantics of information granules. This paper is devoted to a multi-criterial approach to solving of optimization problem of construction of interval and fuzzy information granules. Validity of the proposed approach is proved by numerical examples.

First Page

5

Last Page

8

References

1. R.A.Aliev, “Operations on Znumbers with acceptable degree of specificity”, Procedia Computer Science, no. 120(2017), pp. 915, 2017.

2. D.Dubois, H.Prade: “Possibility Theory: Qualitative and quantitative aspects”, Kluwer Academic Publishers., vol. 1, pp. 169-226, 1998.

3. J.Kacprzyk: “On Measuring Specificity of IfThen Rules”, Int. J. Approximate Reasoning, no. 11(1), pp. 29-53, 1994.

4. E.Nigar Adilova, “Construction of fuzzy control system rulebase with predefined specificity”, ICAFS2018.

5. W.Pedrycz, “Granular Computing; Principles and algorithms”.

6. W.Pedrycz, F.Gomide, “Fuzzy systems engineering: Toward humancentric computing”, WileyIEEE Press, 2007, 544 p.

7. W.Pedrycz, “Forming and Quantifying Consensus in Distributed System Modeling and Group DecisionMaking: A Perspective of Granular Computing”, ICAFS2018.

8. W.Pedrycz, G.Vukovich, “On elicitation of membership functions, IEEE Trans”, Syst., Man, Cybern, A.Part, no. 32 (6), pp. 761-767, 2002.

9. T.Sudkamp, “Granularity and specificity in fuzzy rulebased systems”, SpringerVerlag Berlin Heidelberg, vol. 7, pp. 257-274. 2001.

Recommended Citation

Aliev, R.A; Huseynov, O.H; and Adilova, Nigar E. (2018) "Multi-criterial optimization of information granules in fuzzy If-Then rules.," Chemical Technology, Control and Management: Vol. 2018: Iss. 3, Article 1.
DOI: https://doi.org/10.34920/2018.4-5.5-8