Abstract
The interest of the decision makers in the selection process of suppliers is constantly growing as a reliable supplier reduces costs and improves the quality of products/services. This process is essentially reducible to the problem of multi-attribute decision-making. Namely, the large number of quantitative and qualitative attributes is considered. This paper presents a model of supplier selection. Weighted approach for solving this model was used combined with logical interactions between attributes. Setting logical conditions between attributes was carried out by using the Boolean Interpolative Algebra. Then the logical conditions are transformed into generalized Boolean polynomial that is through logical aggregation translated into a single value. In this way, the ranking of the suppliers is provided. Using this model managers will be able to clearly express their demands through logical conditions, i.e. will be able to conduct a comprehensive analysis of the problem and to make an informed decision.
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References
Boole, G.: The calculus of logic. The Cambridge and Dublin Mathematical Journal 3, 183–198 (1848)
Zadeh, A.L.: Fuzzy sets. Information and Control 8(3), 338–353 (1965)
Lukasiewicz, J.: Selected Works. In: Brokowski, L. (ed.). North-Holland Publ. Comp., Amsterdam and PWN (1970)
Radojevic, D.: Logical measure of continual logical function. In: 8th International Conference IPMU – Information Processing and Management of Uncertainty in Knowledge-Based Systems, Madrid, pp. 574–578 (2000)
Radojevic, D.: New [0, 1] – valued logic: A natural generalization of Boolean logic. Yugoslav Journal of Operational Research – YUJOR 10(2), 185–216 (2000)
Dragovic, I., Turajlic, N., Radojevic, D., Petrovic, B.: Combining Boolean consistent fuzzy logic and AHP illustrated on the web service selection problem. International Journal of Computational Intelligence Systems 7(1), 84–93 (2013)
Radojevic, D.: Fuzzy Set Theory in Boolean Frame. International Journal of Computers, Communications & Control 3, 121–131 (2008)
Radojevic, D.: Interpolative Realization of Boolean Algebra as a Consistent Frame for Gradation and/or Fuzziness. In: Nikravesh, M., Kacprzyk, J., Zadeh, L.A. (eds.) Forging New Frontiers: Fuzzy Pioneers II. STUDFUZZ, vol. 218, pp. 295–317. Springer, Heidelberg (2008)
Radojevic, D.: Logical measure – structure of logical formula. In: Bouchon-Meunier, B., Gutiérrez-Ríos, J., Magdalena, L., Yager, R.R. (eds.) Technologies for Constructing Intelligent System 2: Tools. STUDFUZZ, vol. 90, pp. 417–430. Springer, Heidelberg (2002)
Radojevic, D.: Interpolative realization of Boolean algebra. In: Proceedings of the NEUREL 2006, The 8th Neural Network Applications in Electrical Engineering, pp. 201–206 (2006)
Radojevic, D.: Interpolative Relations and Interpolative Preference Structures. Yugoslav Journal of Operations Research 15(2), 171–189 (2005)
Radojevic, D.: Real probability (R-probability): fuzzy probability idea in Boolean frame. In: 28th Linz Seminar on Fuzzy Set Theory (2007)
Milošević, P., Nešić, I., Poledica, A., Radojević, D.G., Petrović, B.: Models for Ranking Students: Selecting Applicants for a Master of Science Studies. In: Balas, V.E., Fodor, J., Várkonyi-Kóczy, A.R., Dombi, J., Jain, L.C. (eds.) Soft Computing Applications. AISC, vol. 195, pp. 93–103. Springer, Heidelberg (2012)
Mirkovic, M., Hodolic, J., Radojevic, D.: Aggregation for Quality Management. Yugoslav Journal for Operational Research 16(2), 177–188 (2006)
Radojevic, D.: Logical Aggregation Based on Interpolative Boolean Algebra. Mathware & Soft Computing 15, 125–141 (2008)
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Mandic, K., Delibasic, B. (2014). Supplier Selection Using Interpolative Boolean Algebra and Logic Aggregation. In: Laurent, A., Strauss, O., Bouchon-Meunier, B., Yager, R.R. (eds) Information Processing and Management of Uncertainty in Knowledge-Based Systems. IPMU 2014. Communications in Computer and Information Science, vol 443. Springer, Cham. https://doi.org/10.1007/978-3-319-08855-6_1
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DOI: https://doi.org/10.1007/978-3-319-08855-6_1
Publisher Name: Springer, Cham
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