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.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsReferences
Zadeh, L.A.: Fuzzy sets. Inf. Control 8, 338–353 (1965)
Atanassov, K.: Intutionistic fuzzy sets. Fuzzy Sets Syst. 20, 87–96 (1986)
Atanassov, K.: Operators over interval valued intutionistic fuzzy sets. Fuzzy Sets Syst. 64, 159–174 (1994)
Gau, W.L., Buehrer, D.J.: Vague sets. IEEE Trans. Syst. Man Cyber. 23(2), 610–614 (1993)
Pawlak, Z.: Rough sets. Int. J. Inf. Comput. Sci. 11, 341–356 (1982)
Molodtsov, D.: Soft set theory-first results. Comput. Math Appl. 37(4/5), 19–31 (1999)
Pawlak, Z.: Hard set and soft sets. ICS research report, Institute of Computer Science, Poland (1994)
Hwang, C.L., Yoon, K.P.: Multiple Attribute Decision Making and Introduction, p. p2. Sage Publication, London (1995)
Bakshi, T., Sarkar, B.: MCA based performance evaluation of project selection. Int. J. Softw. Eng. Appl. (IJSEA) 2(2), 14–22 (2011)
Saaty, T.L.: The Analytic Hierarchy Process: Planning, Priority Setting, Resource Allocation. Mcgraw-Hill, New York (1980)
Satty, T.L.: The Analytic Network Process. RWS Publications, Pittsburgh (1996)
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)
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)
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)
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)
Zavadskas, E.K., Kaklauskas, A., Turskis, Z., Tamosaitiene, J.: Multi-attribute decision-making model by applying grey numbers. Informatica 20(2), 305–320 (2009)
Srinivasan, V., Shocker, A.D.: Linear programming techniques for multidimensional analysis of privileged. Psychometrika 38, 337–369 (1973)
Bayazit, O., Karpak, B.: An AHP application in vendor selection. In: ISAHP 2005, Honolulu, Hawaii, July 8–10, pp. 1–24 (2005)
Sarkis, J., Talluri, S.: A model for strategic supplier selection. J. Supply Chain Manag.: A Glob. Rev. Purch. Supply (Winter), pp. 18–28 (2002)
Bayazit, O.: Use of analytic network process in vendor selection decisions. Benchmarking: Int. J. 13(5), 566–579 (2006)
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)
Kahraman, C., Cebeci, U., Ulukan, Z.: Multi-criteria supplier selection using fuzzy AHP. Logist. Inf. Manag. 16(6), 382–394 (2003)
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
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)
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)
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)
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)
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)
Yao, Y.Y.: Relational interpretations of neighbourhood operators and rough set approximation operators. Inf. Sci. 111(1–4), 239–259 (1998)
Maji, P.K., Biswas, R., Roy, A.R.: Soft set theory. Comput. Math. Appl. 45, 555–562 (2003)
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
Trukhayev, R.I.: Decision Models Under Uncertainty. Nauka, Moscow (1981)
Kolbin, V.V.: Systems Optimization Methodology. World Scientific Publishing Company, Singapore (2000–2001)
Kolbin, V.V., Suvorova, M.A: Decision Making under Incomplete Information, Saint-Petersburg State University, p. 81 (2002)
Chang, D.Y.: Theory and methodology applications of the extent analysis method on fuzzy AHP. Eur. J. Oper. Res. 95, 649–655 (1996)
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)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2015 Springer India
About this paper
Cite this paper
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
Download citation
DOI: https://doi.org/10.1007/978-81-322-2301-6_15
Publisher Name: Springer, New Delhi
Print ISBN: 978-81-322-2300-9
Online ISBN: 978-81-322-2301-6
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)