Abstract
Formal methods are mathematical techniques for describing system model properties. Such methods providing frameworks to specify and verify the correctness of systems which are usually described by precise requirements. In fact, system requirements are sometimes described with vague, imprecise, uncertain, ambiguous, or probabilistic terms. In this paper, we propose an approach to model and verify software systems with imprecise requirements using a formal method, e.g. Event-B. In the first step, we generalize our approach by representing some fuzzy concepts in the classical set theory. We then use such definitions to formalize the fuzzy requirements in Event-B and finally verify its properties such as safety, inconsistency and redundancy by using the Rodin tool. We also take a case study to illustrate the approach in detail.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
B method web site, http://www.bmethod.com
Event-b and the rodin platform, http://www.event-b.org
Fuzzytech home page (2012), http://www.fuzzytech.com
Prevention of load sway by a fuzzy controller (2013), http://people.clarkson.edu
Set operations (2013), http://www.cs.odu.edu/~toida
Aziz, M.H., Bohez, E.L.J., Parnichkun, M., Saha, C.: Classification of fuzzy petri nets, and their applications. Engineering and Technology, World Academy of Science 72, 394–407 (2011)
Goncalves, M., RodrÃguez, R., Tineo, L.: Formal method to implement fuzzy requirements. RASI 9(1), 15–24 (2012)
Hoang, T.S., Iliasov, A., Silva, R., Wei, W.: A survey on event-b decomposition. ECEASST, Automated Verification of Critical Systems 46 (2011)
Intrigila, B., Magazzeni, D., Melatti, I., Tronci, E.: A model checking technique for the verification of fuzzy control systems. In: CIMCA 2005: Proceedings of the International Conference on Computational Intelligence for Modelling, Control and Automation and International Conference on Intelligent Agents, Web Technologies and Internet Commerce (CIMCA-IAWTIC 2006), vol. 1, pp. 536–542. IEEE Computer Society, Washington, DC (2005)
Knybel, J., Pavliska, V.: Representation of fuzzy if-then rules by petri nets. In: ASIS 2005, Prerov, Ostrava, pp. 121–125 (September 2005)
Lee, J., FanJiang, Y.-Y., Kuo, J.-Y., Lin, Y.-Y.: Modeling imprecise requirements with xml. In: Proceedings of the 2002 IEEE International Conference on Fuzzy Systems, FUZZ-IEEE 2002, vol. 2, pp. 861–866 (2002)
Lee, J., Xue, N.-L., Hsu, K.-H., Yang, S.J.: Modeling imprecise requirements with fuzzy objects. Inf. Sci. 118(1-4), 101–119 (1999)
Matthews, C., Swatman, P.A.: Fuzzy concepts and formal methods: A fuzzy logic toolkit for z. In: Bowen, J.P., Dunne, S., Galloway, A., King, S. (eds.) ZB 2000. LNCS, vol. 1878, pp. 491–510. Springer, Heidelberg (2000)
Matthews, C., Swatman, P.A.: Fuzzy concepts and formal methods: some illustrative examples. In: Proceedings of the Seventh Asia-Pacific Software Engineering Conference, APSEC 2000, pp. 230–238. IEEE Computer Society, Washington, DC (2000)
Pavliska, V.: Petri nets as fuzzy modeling tool. Technical report, University of Ostrava - Institute for Research and Applications of Fuzzy Modeling (2006)
Yang, S.J.H., Tsai, J.J.P., Chen, C.-C.: Fuzzy rule base systems verification using high-level petri nets. IEEE Trans. Knowl. Data Eng. 15(2), 457–473 (2003)
Zhong, Y.: The design of a controller in fuzzy petri net. Fuzzy Optimization and Decision Making 7, 399–408 (2008)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2014 Springer International Publishing Switzerland
About this paper
Cite this paper
Le, H.A., Thi, L.D., Truong, N.T. (2014). Modeling and Verifying Imprecise Requirements of Systems Using Event-B. In: Huynh, V., Denoeux, T., Tran, D., Le, A., Pham, S. (eds) Knowledge and Systems Engineering. Advances in Intelligent Systems and Computing, vol 244. Springer, Cham. https://doi.org/10.1007/978-3-319-02741-8_27
Download citation
DOI: https://doi.org/10.1007/978-3-319-02741-8_27
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-02740-1
Online ISBN: 978-3-319-02741-8
eBook Packages: EngineeringEngineering (R0)