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A Novel Soft Theoretic AHP Model for Project Management in Multi-criteria Decision Making Problem

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Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 125))

Abstract

The present paper introduces a model of decision-making problem in multicriteria optimization domain for project management. The model is built by combining the fuzzy soft set theory and analytical hierarchical model. The later is the well-known method of ranking the alternatives for multicriteria decision-making problem. The ultimate project selection is the best of many decisions associated with project management. Here we illustrate the hybrid method by means of an application of the new mathematical model of soft set theory.

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References

  1. Zadeh, L.A.: Fuzzy sets. Inf. Control 8, 338–353 (1965)

    Article  Google Scholar 

  2. Atanassov, K.: Intutionistic fuzzy sets. Fuzzy Sets Syst. 20, 87–96 (1986)

    Article  Google Scholar 

  3. Atanassov, K.: Operators over interval valued intutionistic fuzzy sets. Fuzzy Sets Syst. 64, 159–174 (1994)

    Article  Google Scholar 

  4. Gau, W.L., Buehrer, D.J.: Vague sets. IEEE Trans. Syst. Man Cyber. 23(2), 610–614 (1993)

    Article  Google Scholar 

  5. Pawlak, Z.: Rough sets. Int. J. Inf. Comput. Sci. 11, 341–356 (1982)

    Article  Google Scholar 

  6. Molodtsov, D.: Soft set theory-first results. Comput. Math Appl. 37(4/5), 19–31 (1999)

    Article  MathSciNet  Google Scholar 

  7. Pawlak, Z.: Hard set and soft sets. ICS research report, Institute of Computer Science, Poland (1994)

    Google Scholar 

  8. Hwang, C.L., Yoon, K.P.: Multiple Attribute Decision Making and Introduction, p. p2. Sage Publication, London (1995)

    Google Scholar 

  9. Bakshi, T., Sarkar, B.: MCA based performance evaluation of project selection. Int. J. Softw. Eng. Appl. (IJSEA) 2(2), 14–22 (2011)

    Google Scholar 

  10. Saaty, T.L.: The Analytic Hierarchy Process: Planning, Priority Setting, Resource Allocation. Mcgraw-Hill, New York (1980)

    MATH  Google Scholar 

  11. Satty, T.L.: The Analytic Network Process. RWS Publications, Pittsburgh (1996)

    Google Scholar 

  12. Hwang, C.L., Yoon, K.: Multiple Attribute Decision Making: Methods and Applications. A state of the Art Survey., 1st edn, p. 259. Springer, Berlin (1981)

    Book  Google Scholar 

  13. Wang, T.C., Lee, H.-D.: Developing a fuzzy TOPSIS approach based on subjective weights and objective weights. Expert Syst. Appl. 36(5), 8980–8985 (2009)

    Article  Google Scholar 

  14. Datta, S., Beriha, G.S., Patnaik, B., Mahapatra, S.S.: Use of compromise ranking method for supervisor selection: a multi-criteria decision making (MCDM) approach. Int. J. Vocat. Tech. Educ. 1(1), 007–013 (2009)

    Google Scholar 

  15. Zavadskas, E.K., Turskis, Z., Tamosaitiene, J., Marina, V.: Multicriteria selection of project managers by applying grey criteria. Tech. Econ. Dev. Econ. 14(4), 462–477 (2008)

    Article  Google Scholar 

  16. Zavadskas, E.K., Kaklauskas, A., Turskis, Z., Tamosaitiene, J.: Multi-attribute decision-making model by applying grey numbers. Informatica 20(2), 305–320 (2009)

    MATH  Google Scholar 

  17. Srinivasan, V., Shocker, A.D.: Linear programming techniques for multidimensional analysis of privileged. Psychometrika 38, 337–369 (1973)

    Article  MathSciNet  Google Scholar 

  18. Bayazit, O., Karpak, B.: An AHP application in vendor selection. In: ISAHP 2005, Honolulu, Hawaii, July 8–10, pp. 1–24 (2005)

    Google Scholar 

  19. Sarkis, J., Talluri, S.: A model for strategic supplier selection. J. Supply Chain Manag.: A Glob. Rev. Purch. Supply (Winter), pp. 18–28 (2002)

    Article  Google Scholar 

  20. Bayazit, O.: Use of analytic network process in vendor selection decisions. Benchmarking: Int. J. 13(5), 566–579 (2006)

    Article  Google Scholar 

  21. Chan, F.T.S.: Interactive selection model for supplier selection process: an analytical hierarchy process approach. Int. J. Prod. Res. 41(15), 3549–3579 (2003)

    Article  Google Scholar 

  22. Kahraman, C., Cebeci, U., Ulukan, Z.: Multi-criteria supplier selection using fuzzy AHP. Logist. Inf. Manag. 16(6), 382–394 (2003)

    Article  Google Scholar 

  23. Bakshi T., Sanyal S.K.: A soft-computing approach for software project selection. In: IEEE International Conference on Recent Trends in Information Systems (RETIS-11), Kolkata, pp. 18–23, 978- 1–4577-0792-6/11. IEEE, 21–23 December 2011

    Google Scholar 

  24. Razmi, J., Rafiei, H., Hashemi, M.: Designing a decision support system to evaluate and select suppliers using fuzzy analytic network process. Comput. Ind. Eng. 57(4), 1282–1290 (2009)

    Article  Google Scholar 

  25. Sreekumar, Mahapatra, S.S.: A fuzzy multi-criteria decision making approach for supplier selection in supply chain management. Afr. J. Bus. Manag. 3(4), 168–177 (2009)

    Google Scholar 

  26. Sevkli, M., Koh, S.C.L., Zaim, S., Demirbag, M., Tatoglu, E.: Hybrid analytical hierarchy process model for supplier selection. Ind. Manag. Data Syst. 108(1), 122–142 (2008)

    Article  Google Scholar 

  27. Ju, J.-M., Hwang, S.-G.: A study on supplier evaluation and selection method based on dependence. J. Adv. Comput. Intell. Intell. Inform. 8(4), 415–420 (2004)

    Article  Google Scholar 

  28. Lin, T.Y., Skoworn, A., Polkowski, L.: Granular computing on binary relations II: rough set representations and belief functions. In: Skoworn, A., Polkowski, L. (eds.) Rough Sets in Knowledge Discovery, pp. 121–140. Springer, Berlin (1998)

    Google Scholar 

  29. Yao, Y.Y.: Relational interpretations of neighbourhood operators and rough set approximation operators. Inf. Sci. 111(1–4), 239–259 (1998)

    Article  Google Scholar 

  30. Maji, P.K., Biswas, R., Roy, A.R.: Soft set theory. Comput. Math. Appl. 45, 555–562 (2003)

    Article  MathSciNet  Google Scholar 

  31. Som, T.: The theory of fuzzy soft sets, fuzzy soft matrix and their application in decision making problem. In: Proceedings of National Conference on Mathematics of Soft Computing, National Institute of Technology Calicut, 5–7 July 2012

    Google Scholar 

  32. Trukhayev, R.I.: Decision Models Under Uncertainty. Nauka, Moscow (1981)

    Google Scholar 

  33. Kolbin, V.V.: Systems Optimization Methodology. World Scientific Publishing Company, Singapore (2000–2001)

    Google Scholar 

  34. Kolbin, V.V., Suvorova, M.A: Decision Making under Incomplete Information, Saint-Petersburg State University, p. 81 (2002)

    Google Scholar 

  35. Chang, D.Y.: Theory and methodology applications of the extent analysis method on fuzzy AHP. Eur. J. Oper. Res. 95, 649–655 (1996)

    Article  Google Scholar 

  36. Bakshi T., Sarkar B., Sanyal S.K.: A new soft-computing based framework for project management using game theory. In: International Conference on Communications, Devices and Intelligent Systems (CODIS-2012), 978-1-4673-4700-6/12/\({\$}31.00\_\)c, pp. 282–285. IEEE (2012)

    Google Scholar 

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Bakshi, T., Som, T., Sarkar, B. (2015). A Novel Soft Theoretic AHP Model for Project Management in Multi-criteria Decision Making Problem. In: Chakraborty, M.K., Skowron, A., Maiti, M., Kar, S. (eds) Facets of Uncertainties and Applications. Springer Proceedings in Mathematics & Statistics, vol 125. Springer, New Delhi. https://doi.org/10.1007/978-81-322-2301-6_15

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