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Supplier Selection Using Fuzzy Risk Analysis

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Mathematics and Computing

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 139))

Abstract

In this paper, three different multi-item supplier selection model have been developed. The selection has been made optimizing the profit and risk which are considered as objective functions for all models. The optimization has been done under some constraints. It is considered that each supplier has an limited capacity to supply any item. The purchasing cost of each item from different supplier as well as associative risk is known. Also total space and budget are constant of a retailer. All the parameters have been considered as crisp in Model-I. The demand has been considered as fuzzy Model II. Necessity and possibility measures have been introduced in this paper to defuzzyfy the fuzzy constraints. The risk values have been considered as fuzzy in Model III in addition to the fuzzy demand. To defuzzyfy the fuzzy objective two different methods, credibility measure and \(\alpha \)-cut method have been introduced. Multi-Objective Genetic Algorithm (MOGA) has been used to illustrate all the models numerically.

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References

  1. Arikan, F.: A fuzzy solution approach for multi objective supplier election. Expert Syst. Appl. 40, 947–952 (2013)

    Google Scholar 

  2. Chen, S.M., Munif, A., Chen, G.S., Liu, H.C.,Kuo, B.C.: Fuzzy risk analysis based on ranking generalized fuzzy numbers with different left heights and right heights. Expert Syst. Appl. 39, 6320–6334 (2012)

    Google Scholar 

  3. Deb, K., Pratap, A., Agarawal, S., Meyarivan, T.: A fast and elitist multiobjective genetic algorithm: NSGA-II. IEEE Trans. Evol. Comput. 182–197 (2002)

    Google Scholar 

  4. Dubois, D., Prade, H.: Fuzzy sets and systems. Theory and applications. Academic Press. Inc., New York (1980)

    Google Scholar 

  5. Dubois, D., Prade, H.: Ranking fuzzy numbers in the setting of possibility theory. Inf. Sci. 30,183–224 (1983)

    Google Scholar 

  6. Dubois, D., Prade, H.: Possibility theory. Academic Press, New York (1988)

    Google Scholar 

  7. Fonseca, C.M. Fleming, P.J.: Genetic Algorithms for Multiobjective Optimization, Formulation, Discussion and Generalization. In: Forrest, S. (ed.) Proceedings of the Fifth International Conference on Genetic Algorithm, San Mateo, CA: Morgan Kauffman, 416–423 (1993)

    Google Scholar 

  8. Goguen, J.A.: L-Fuzzy sets. JMAA 18, 145–174 (1967)

    Google Scholar 

  9. Goguen, J.A.: The logic of inexact concepts. Synthese 19, 325–373 (1969)

    Google Scholar 

  10. Holland, H.J.: Adaptation in Natural and Artificial Systems, University of Michigan (1975)

    Google Scholar 

  11. Kilic, H.S.: An integrated approach for supplier selection in multi-item/ multi-supplier environment. Appl. Math. Model. 37, 7752–7763 (2013)

    Google Scholar 

  12. Lin, R.H.: An integrated model for supplier selection under a fuzzy situation. Int. J. Prod. Econ. 138, 55–61 (2012)

    Google Scholar 

  13. Liu, B., Iwamura, K.B.: Chance constraint programming with fuzzy papameters. Fuzzy Sets Syst. 94, 227–237 (1998)

    Google Scholar 

  14. Liu, B., Iwamura, K.B.: A note on chance constrainted programming with fuzzy coefficients. Fuzzy Sets Syst. 100, 229–233 (1998)

    Google Scholar 

  15. Liu, B., Liu, Y.K.: Expected value of fuzzy variable and fuzzy expected value model. IEEE Trans. Fuzzy Syst. 10(4), 445–450 (2002)

    Article  Google Scholar 

  16. Maity, A.K., Maity, K., Maity, M.: A production recycling inventory system with imprecise holding costs. Appl. Math. Model. 32, 2241–2253 (2008)

    Google Scholar 

  17. Patra, K., Mondal, S.K.: Risk analysis in diabetes prediction based on a new approach of ranking of generalized trapezoidal fuzzy numbers. Int. J. Cybern. Syst. 43(8), 623–650 (2012)

    Google Scholar 

  18. Rezaei, J., Davoodi, M.: A deterministic multi item inventory model with supplier selection and imperfect quality. Appl. Math. Model. 32, 2106–2116 (2008)

    Google Scholar 

  19. Rudolph, G.: Evolutionary Search under Partially Ordered Fitness Sets. In: Proceedings of the International Symposium on Information Science Innovations in Engineering of Natural and Artificial Intelligent Systems (ISI), 818–822 (2001)

    Google Scholar 

  20. Ruiz-Torres, A.J., Mahmoodi, F., Zeng, A.Z.: Supplier selection model with contingency planning for supplier failures. Comput. Ind. Eng. 66, 374–382 (2013)

    Google Scholar 

  21. Shirkouhi, S.N., Shakouri, H., Javadi, B., Keramati, A.: Supplier selection and order allocation problem using a two-phase fuzzy multi-objective linear programming. Appl. Math. Model. 37, 9308–9323 (2013)

    Google Scholar 

  22. Srinivas, N., Deb, K.: Multi-objective optimization using nondominated sorting in genetic algorithms. J. Evol. Comput. 2(3), 221–248 (1994)

    Google Scholar 

  23. Wang, J., Shu, Y.F.: Fuzzy decision modelling for supply chain management. Fuzzy Sets Syst. 150, 107–127 (2005)

    Google Scholar 

  24. Zadeh, L.A.: Fuzzy Sets. Inf. Control. 8, 338–356 (1965)

    Google Scholar 

  25. Zadeh, L.A.: The concept of linguistic variable and its application to approximate reasoning. I, II, III. Inf. Sci. 8,199–249 (1975), 9, 43–58 (1976)

    Google Scholar 

  26. Zadeh, L.A.: Fuzzy sets as a basis of possibility. Fuzzy Sets Syst. 1, 3–24 (1978)

    Google Scholar 

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Author information

Authors and Affiliations

  1. Department of Mathematics, Sikkim Manipal Institute of Technology, Sikkim Manipal University, East Sikkim, 737136, India

    Kartik Patra

  2. Department of Applied Mathematics with Oceanology and Computer Programming, Vidyasagar University, Midnapore, 721102, India

    Shyamal Kumar Mondal

Authors
  1. Kartik Patra
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  2. Shyamal Kumar Mondal
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Correspondence to Kartik Patra .

Editor information

Editors and Affiliations

  1. Department of Mathematics, University of Central Florida, Orlando, Florida, USA

    Ram N. Mohapatra

  2. Indian Institute of Technology Kharagpur Dept. Computer Science & Engineering, Kharagpur, West Bengal, India

    Dipanwita Roy Chowdhury

  3. Dept of Computer Science & Engineering, Haldia Institute of Technology, Haldia, West Bengal, India

    Debasis Giri

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Patra, K., Mondal, S.K. (2015). Supplier Selection Using Fuzzy Risk Analysis. In: Mohapatra, R., Chowdhury, D., Giri, D. (eds) Mathematics and Computing. Springer Proceedings in Mathematics & Statistics, vol 139. Springer, New Delhi. https://doi.org/10.1007/978-81-322-2452-5_22

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