SOFTWARE SELECTION ON BASE OF SUGENO INTEGRAL
Abstract
The article is devoted to the problem of software selection. As a rule, this tasks are formalized as models of multi-criteria decision making (MCDM). The peculiarity of this problem is in the fact that the evaluation criteria , is generally defined by linguistic expert. This requires the use of special methods, in particularly, the theory of fuzzy sets. To solve the problem, an approach based on the a fuzzy measure was used . In general, a fuzzy measure allows one to take into account the effect of the mutual influence of criteria. The main difficulty lies in identifying this measure. The fuzzy Sugeno measure and Sugeno integral were used. An example of solving the indicated problem is given.
References
Azadeh A. A robust decision-making methodology for evaluation and selection of simulation software package / A. Azadeh, SN Shirkouhi, K. Rezaie // International Journal of Advanced Manufacturing Technology. - 2010. - Vol. 47. - P. 381–393.
Karaarslan N. An application for modular capability-based ERP software selection using AHP method / N. Karaarslan, E. Gundogar // International Journal of Advanced Manufacturing Technology. –2009. - Vol. 42. - P. 1025-1033.
Smirlis YG Data envelopment analysis models to support the selection of vehicle routing software for city logistics operations / YG Smirlis, V. Zeimpekis, G. Kaimakamis // Operational Research. 2012. –Vol. 12. - P. 399-420.
Gustave Choquet "Theory of Capacities". Annales de l'Institut Fourier., 1953, 5: 131-295
Sugeno M. Theory of fuzzy integrals and its applications: Ph.D. Thesis. - Tokyo. - 1974. 237 p.
T Murofushi, M Sugeno, An interpretation of fuzzy measures and the Choquet integral as an integral with respect to a fuzzy measure Fuzzy Sets and Systems, 29 (1989), pp. 201-227
Tan C. Intuitionistic fuzzy Choquet integral operator for multi-criteria decision making / C. Tan, X. Chen // Expert Systems with Applications. - 2010. - Vol. 37. - P. 149-157.
Meyer P. On the use of the Choquet integral with fuzzy numbers in multiple criteria decision support / P. Meyer, M. Roubens // Fuzzy Sets and Systems. - 2006. - Vol. 157. - P. 927-938.
A Hybrid Algorithm to Extract Fuzzy Measures for Software Quality Assessment / X. Wang, M. Ceberio, S. Virani et al. // Journal of Uncertain Systems. - 2013. - Vol. 7, No. 3. - P. 219-237.
Pasrija V. Assessment of Software Quality: Choquet Integral Approach / V. Pasrija, S. Kumar, PR Srivastava // Procedia Technology. - 2012. - Vol. 6. - P. 153-162.
Yang H. Measuring Software Product Quality with ISO Standards Base on Fuzzy Logic Technique
M. Grabisch. The application of fuzzy integrals in multicriteria decision making. European J. of Operational Research 89: 445-456, 1996.
M. Grabisch, T. Murofushi, and M. Sugeno. Fuzzy Measures and Integrals. Theory and Applications (edited volume). Studies in Fuzziness. Physica Verlag, 2000.
M. Grabisch and Ch. Labreuche. The Choquet integral for 2-additive bicapacities. In 3d Int, Conf. of the European Soc. for Fuzzy Logic and Technology (EUSFLAT 2003), pages 300-303, Zittau, Germany, September 2003.
Views:
311
Downloads:
285
Copyright (c) 2020 Vagif Salimov
This work is licensed under a Creative Commons Attribution 4.0 International License.
All articles are published in open-access and licensed under a Creative Commons Attribution 4.0 International License (CC BY 4.0). Hence, authors retain copyright to the content of the articles.
CC BY 4.0 License allows content to be copied, adapted, displayed, distributed, re-published or otherwise re-used for any purpose including for adaptation and commercial use provided the content is attributed.
