BibTex RIS Kaynak Göster

A Decision Making Method via TOPSIS on Soft Sets

Yıl 2015, Cilt: 4 Sayı: 8, 57 - 70, 29.05.2015

Öz

In this paper, we first present TOPSIS (techniquefor order performance by similarity to ideal solution) that is amulti-criteria decision making (MCDM) technique. TOPSIS is apractical and useful technique for ranking and selection of a number of externally determined alternatives through distance measures. We then give a decision making method by suing TOPSISon soft set theory. Finally an application is given for this newmethod

Kaynakça

  • Agrawal, V.P., Kohli, V. and Gupta, S., Computer aided robot selection: The
  • multiple attribute decision making approach. International Journal of Production
  • Research, 29(8), (1991) 1629-1644.
  • Ali, M.I., Feng, F., Liu, X., Min, W.K. and Shabir, M., On some new operations
  • in soft set theory, Comput. Math. Appl., 57, (2009) 1547-1553.
  • Atanassov, K., Intuitionistic fuzzy sets, Fuzzy Sets and Systems, 20, (1986) 87-96.
  • Belenson, S.M. and Kapur, K.C., An algorithm for solving multicriterion linear pro
  • gramming problems with examples, Operational Research Quarterly, 24(1), (1973) 65-77.
  • C¸ a˘gman, N., C¸ ıtak, F. and Engino˘glu, S., Fuzzy parameterized fuzzy soft set theory
  • and its applications, Turkish Journal of Fuzzy Systems, 1(1), (2010) 21-35.
  • C¸ a˘gman, N., C¸ ıtak, F. and Engino˘glu, S., FP-Soft set theory and its applications,
  • Annals of Fazzy Mathematics and Informatics, 2(2), (2011) 219-226.
  • C¸ a˘gman, N. and Engino˘glu, S., Soft set theory and uni-int decision making, Euro
  • pean Journal of Operational Research, 207, (2010) 848-855.
  • C¸ a˘gman, N. and Engino˘glu, S., Soft matrix theory and its decision makings. Com
  • puters and Mathematics with Applications, 59, (2010) 3308-3314.
  • C¸ a˘gman, N., Engino˘glu, S. and C¸ ıtak, F., Fuzzy soft set theory and its applications,
  • Iranian Journal of Fuzzy Systems, 8 (3), (2011) 137-147.
  • C¸ a˘gman, N. and Engino˘glu, S., Fuzzy Soft Matrix Theory and Its Applications in Decision Making, Iranian Journal of Fuzzy Systems, 9(1), (2012) 109-119.
  • C¸ a˘gman, N., Contributions to the theory of soft sets, Journal of New Results in Science, 4, (2014) 33-41.
  • Chen, M.F. and Tzeng, G.H., Combining gray relation and TOPSIS concepts for selecting an expatriate host country, Mathematical and Computer Modelling 40, (2004) 1473-1490.
  • Deng, H., Yeh, C.H. and Willis, R. J., Inter-company comparison using modi- fied TOPSIS with objective weights. Computers and Operations Research, 27(10), (2000) 963-973.
  • Feng, C.M. and Wang, R-T., Considering the financial ratios on the performance evaluation of highway bus industry. Transport Reviews, 21(4), (2001) 449-467.
  • Hwang, C.L. and Yoon, K., Multiple attribute decision making: Methods and applications. New York: Springer-Verlag, (1981).
  • Janic, M., Multicriteria evaluation of high-speed rail, transrapid maglev, and air passenger transport in Europe, Transportation Planning and Technology 26(6), (2003) 491-512.
  • Kahraman, C., Engin, O., Kabak, O. and Kaya, I., Information systems outsourc- ing decisions using a group decision-making approach. Engineering Applications of Artificial Intelligence, 22(6), (2009) 832-841.
  • Kim, G., Park, C.S. and Yoon, K.P., Identifying investment opportunities for advanced manufacturing systems with comparative-integrated performance mea- surement, International Journal of Production Economics 50, (1997) 23-33.
  • Kwong, C.K. and Tam, S.M., Case-based reasoning approach to concurrent design of low power transformers, Journal of Materials Processing Technology 128, (2002) 136-141.
  • Lai, Y.J., Liu, T.Y. and Hwang, C. L., TOPSIS for MODM. European Journal of Operational Research, 76(3), (1994) 486-500.
  • Maji, P.K., Biswas, R. and Roy, A.R., Soft set theory, Computers and Mathematics with Applications, 45, (2003) 555-562.
  • Milani, A.S., Shanian, A. and Madoliat, R., The effect of normalization norms in multiple attribute decision making models: A case study in gear material selection, Structural Multidisciplinary Optimization 29(4), (2005) 312-318.
  • Molodtsov, D.A., Soft set theory-first results, Computers and Mathematics with Applications, 37(1), (1999) 19-31.
  • Molodtsov, D.A., Leonov, V.Y. and Kovkov, D.V., Soft Sets Technique and Its Application, Nechetkie Sistemy i Myagkie Vychisleniya 1/1, (2006) 8-39.
  • Opricovic, S. and Tzeng, G.H., ”Compromise Solution By MCDM Methods: A Comparative Analysis Of VIKOR and TOPSIS”, European Journal Of Operational Research, C:CLVI, (2004) 445-455.
  • Parkan, C. and Wu, M.L., Decision-making and performance measurement models with applications to robot selection. Computers and Industrial Engineering, 36(3), (1999) 503-523.
  • Pawlak, Z., Rough sets, International Journal of Information and Computer Sci- ences, 11, (1982) 341-356.
  • Paxkan, C. and Wu, M.L., On the equivalence of operational performance measure- ment and multiple attribute decision making. International Journal of Production Research, 35(11), (1997) 2963-2988.
  • Peters, M.L. and Zelewski, S., TOPSIS als Technik zur Effieienzanalyse, Zeitschrift f¨ur Ausbildung und Hochschulkontakt, (2007) 1-9.
  • Rao, R.V., Evaluation of environmentally conscious manufacturing programs us- ing multiple attribute decision-making methods, Proceedings of the Institution of Mechanical Engineers-Part B-Engineering Manufacture, 222(3), (2008) 441-451.
  • Ren, L., Zhang, Y., Wang, Y. and Sun, Z., Comparative analysis of a novel MTOPSIS method and TOPSIS. Applied Mathematics Research Express, 10. doi:10.1093/amrx/abm005. Article ID abm005, (2007)
  • Shih, H.S., Lin, W.Y. and Lee, E.S., Group decision making for TOPSIS, in: Joint 9th IFSA World Congress and 20th NAFIPS International Conference, IFSA/NAFIPS, Vancouver, Canada, (2001) 2712-2717.
  • Shih, H.S., Shyur, H.J. and Lee, E.S., An extension of TOPSIS for group decision making, Mathematical and Computer Modelling 45, (2007) 801-813.
  • Shyura, H.J. and Shih, H.S., A hybrid MCDM model for strategic vendor selection. Mathematical and Computer Modelling, 44(7-8), (2006) 749-761.
  • Srdjevic, B., Medeiros, Y.D.P. and Faria, A.S., An objective multi-criteria eval- uation of water management scenarios, Water Resources Management 18, (2004) 35-54.
  • Stern, Z.S., Mehrez, A. and Hadad, Y., An AHP/DEA methodology for ranking decision making units, Intl. Trans. In Op. Res., 7, (2000) 109-124.
  • Triantaphyllou, E., Multi-Criteria Decision Making Methods: A Comparative Study, Kluwer Academic Publishers, Netherlands, (2000), 139-140.
  • Yang, T. and Chou, P. Solving a multiresponse simulation-optimization problem with discrete variables using a multi-attribute decision-making method, Mathe- matics and Computers in Simulation 68, (2005) 9-21.
  • Yoon, K. and Hwang, C.L., Manufacturing plant location analysis by multiple attribute decision making: Part I-single-plant strategy, International Journal of Production Research 23, (1985) 345-359.
  • Yoon, K.P. and Hwang, C.L., Multiple Attribute Decision Making: An Introduc- tion, Sage Pub., Thousand Oaks, CA, (1995).
  • Yurdakul, M. and ˙I¸c, Y.T., Development of a performance measurement model for manufacturing companies using the AHP and Topsis approaches, International Journal of Production Research, 43(21), (2005) 4609-4641.
  • Zadeh, L.A., Fuzzy Sets, Information and Control, 8, (1965) 338-353.
  • Zeleny, M., A concept of compromise solutions and the method of the displaced ideal. Computers and Operations Research, 1(3-4), (1974) 479-496.
  • Zhu, P. and Wen, Q., Operations on Soft Sets Revisited, Journal of Applied Math- ematics, 1-7, (2013).
Yıl 2015, Cilt: 4 Sayı: 8, 57 - 70, 29.05.2015

Öz

Kaynakça

  • Agrawal, V.P., Kohli, V. and Gupta, S., Computer aided robot selection: The
  • multiple attribute decision making approach. International Journal of Production
  • Research, 29(8), (1991) 1629-1644.
  • Ali, M.I., Feng, F., Liu, X., Min, W.K. and Shabir, M., On some new operations
  • in soft set theory, Comput. Math. Appl., 57, (2009) 1547-1553.
  • Atanassov, K., Intuitionistic fuzzy sets, Fuzzy Sets and Systems, 20, (1986) 87-96.
  • Belenson, S.M. and Kapur, K.C., An algorithm for solving multicriterion linear pro
  • gramming problems with examples, Operational Research Quarterly, 24(1), (1973) 65-77.
  • C¸ a˘gman, N., C¸ ıtak, F. and Engino˘glu, S., Fuzzy parameterized fuzzy soft set theory
  • and its applications, Turkish Journal of Fuzzy Systems, 1(1), (2010) 21-35.
  • C¸ a˘gman, N., C¸ ıtak, F. and Engino˘glu, S., FP-Soft set theory and its applications,
  • Annals of Fazzy Mathematics and Informatics, 2(2), (2011) 219-226.
  • C¸ a˘gman, N. and Engino˘glu, S., Soft set theory and uni-int decision making, Euro
  • pean Journal of Operational Research, 207, (2010) 848-855.
  • C¸ a˘gman, N. and Engino˘glu, S., Soft matrix theory and its decision makings. Com
  • puters and Mathematics with Applications, 59, (2010) 3308-3314.
  • C¸ a˘gman, N., Engino˘glu, S. and C¸ ıtak, F., Fuzzy soft set theory and its applications,
  • Iranian Journal of Fuzzy Systems, 8 (3), (2011) 137-147.
  • C¸ a˘gman, N. and Engino˘glu, S., Fuzzy Soft Matrix Theory and Its Applications in Decision Making, Iranian Journal of Fuzzy Systems, 9(1), (2012) 109-119.
  • C¸ a˘gman, N., Contributions to the theory of soft sets, Journal of New Results in Science, 4, (2014) 33-41.
  • Chen, M.F. and Tzeng, G.H., Combining gray relation and TOPSIS concepts for selecting an expatriate host country, Mathematical and Computer Modelling 40, (2004) 1473-1490.
  • Deng, H., Yeh, C.H. and Willis, R. J., Inter-company comparison using modi- fied TOPSIS with objective weights. Computers and Operations Research, 27(10), (2000) 963-973.
  • Feng, C.M. and Wang, R-T., Considering the financial ratios on the performance evaluation of highway bus industry. Transport Reviews, 21(4), (2001) 449-467.
  • Hwang, C.L. and Yoon, K., Multiple attribute decision making: Methods and applications. New York: Springer-Verlag, (1981).
  • Janic, M., Multicriteria evaluation of high-speed rail, transrapid maglev, and air passenger transport in Europe, Transportation Planning and Technology 26(6), (2003) 491-512.
  • Kahraman, C., Engin, O., Kabak, O. and Kaya, I., Information systems outsourc- ing decisions using a group decision-making approach. Engineering Applications of Artificial Intelligence, 22(6), (2009) 832-841.
  • Kim, G., Park, C.S. and Yoon, K.P., Identifying investment opportunities for advanced manufacturing systems with comparative-integrated performance mea- surement, International Journal of Production Economics 50, (1997) 23-33.
  • Kwong, C.K. and Tam, S.M., Case-based reasoning approach to concurrent design of low power transformers, Journal of Materials Processing Technology 128, (2002) 136-141.
  • Lai, Y.J., Liu, T.Y. and Hwang, C. L., TOPSIS for MODM. European Journal of Operational Research, 76(3), (1994) 486-500.
  • Maji, P.K., Biswas, R. and Roy, A.R., Soft set theory, Computers and Mathematics with Applications, 45, (2003) 555-562.
  • Milani, A.S., Shanian, A. and Madoliat, R., The effect of normalization norms in multiple attribute decision making models: A case study in gear material selection, Structural Multidisciplinary Optimization 29(4), (2005) 312-318.
  • Molodtsov, D.A., Soft set theory-first results, Computers and Mathematics with Applications, 37(1), (1999) 19-31.
  • Molodtsov, D.A., Leonov, V.Y. and Kovkov, D.V., Soft Sets Technique and Its Application, Nechetkie Sistemy i Myagkie Vychisleniya 1/1, (2006) 8-39.
  • Opricovic, S. and Tzeng, G.H., ”Compromise Solution By MCDM Methods: A Comparative Analysis Of VIKOR and TOPSIS”, European Journal Of Operational Research, C:CLVI, (2004) 445-455.
  • Parkan, C. and Wu, M.L., Decision-making and performance measurement models with applications to robot selection. Computers and Industrial Engineering, 36(3), (1999) 503-523.
  • Pawlak, Z., Rough sets, International Journal of Information and Computer Sci- ences, 11, (1982) 341-356.
  • Paxkan, C. and Wu, M.L., On the equivalence of operational performance measure- ment and multiple attribute decision making. International Journal of Production Research, 35(11), (1997) 2963-2988.
  • Peters, M.L. and Zelewski, S., TOPSIS als Technik zur Effieienzanalyse, Zeitschrift f¨ur Ausbildung und Hochschulkontakt, (2007) 1-9.
  • Rao, R.V., Evaluation of environmentally conscious manufacturing programs us- ing multiple attribute decision-making methods, Proceedings of the Institution of Mechanical Engineers-Part B-Engineering Manufacture, 222(3), (2008) 441-451.
  • Ren, L., Zhang, Y., Wang, Y. and Sun, Z., Comparative analysis of a novel MTOPSIS method and TOPSIS. Applied Mathematics Research Express, 10. doi:10.1093/amrx/abm005. Article ID abm005, (2007)
  • Shih, H.S., Lin, W.Y. and Lee, E.S., Group decision making for TOPSIS, in: Joint 9th IFSA World Congress and 20th NAFIPS International Conference, IFSA/NAFIPS, Vancouver, Canada, (2001) 2712-2717.
  • Shih, H.S., Shyur, H.J. and Lee, E.S., An extension of TOPSIS for group decision making, Mathematical and Computer Modelling 45, (2007) 801-813.
  • Shyura, H.J. and Shih, H.S., A hybrid MCDM model for strategic vendor selection. Mathematical and Computer Modelling, 44(7-8), (2006) 749-761.
  • Srdjevic, B., Medeiros, Y.D.P. and Faria, A.S., An objective multi-criteria eval- uation of water management scenarios, Water Resources Management 18, (2004) 35-54.
  • Stern, Z.S., Mehrez, A. and Hadad, Y., An AHP/DEA methodology for ranking decision making units, Intl. Trans. In Op. Res., 7, (2000) 109-124.
  • Triantaphyllou, E., Multi-Criteria Decision Making Methods: A Comparative Study, Kluwer Academic Publishers, Netherlands, (2000), 139-140.
  • Yang, T. and Chou, P. Solving a multiresponse simulation-optimization problem with discrete variables using a multi-attribute decision-making method, Mathe- matics and Computers in Simulation 68, (2005) 9-21.
  • Yoon, K. and Hwang, C.L., Manufacturing plant location analysis by multiple attribute decision making: Part I-single-plant strategy, International Journal of Production Research 23, (1985) 345-359.
  • Yoon, K.P. and Hwang, C.L., Multiple Attribute Decision Making: An Introduc- tion, Sage Pub., Thousand Oaks, CA, (1995).
  • Yurdakul, M. and ˙I¸c, Y.T., Development of a performance measurement model for manufacturing companies using the AHP and Topsis approaches, International Journal of Production Research, 43(21), (2005) 4609-4641.
  • Zadeh, L.A., Fuzzy Sets, Information and Control, 8, (1965) 338-353.
  • Zeleny, M., A concept of compromise solutions and the method of the displaced ideal. Computers and Operations Research, 1(3-4), (1974) 479-496.
  • Zhu, P. and Wen, Q., Operations on Soft Sets Revisited, Journal of Applied Math- ematics, 1-7, (2013).
Toplam 53 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Bölüm Articles
Yazarlar

Selim Eraslan Bu kişi benim

Yayımlanma Tarihi 29 Mayıs 2015
Yayımlandığı Sayı Yıl 2015 Cilt: 4 Sayı: 8

Kaynak Göster

APA Eraslan, S. (2015). A Decision Making Method via TOPSIS on Soft Sets. Journal of New Results in Science, 4(8), 57-70.
AMA Eraslan S. A Decision Making Method via TOPSIS on Soft Sets. JNRS. Ağustos 2015;4(8):57-70.
Chicago Eraslan, Selim. “A Decision Making Method via TOPSIS on Soft Sets”. Journal of New Results in Science 4, sy. 8 (Ağustos 2015): 57-70.
EndNote Eraslan S (01 Ağustos 2015) A Decision Making Method via TOPSIS on Soft Sets. Journal of New Results in Science 4 8 57–70.
IEEE S. Eraslan, “A Decision Making Method via TOPSIS on Soft Sets”, JNRS, c. 4, sy. 8, ss. 57–70, 2015.
ISNAD Eraslan, Selim. “A Decision Making Method via TOPSIS on Soft Sets”. Journal of New Results in Science 4/8 (Ağustos 2015), 57-70.
JAMA Eraslan S. A Decision Making Method via TOPSIS on Soft Sets. JNRS. 2015;4:57–70.
MLA Eraslan, Selim. “A Decision Making Method via TOPSIS on Soft Sets”. Journal of New Results in Science, c. 4, sy. 8, 2015, ss. 57-70.
Vancouver Eraslan S. A Decision Making Method via TOPSIS on Soft Sets. JNRS. 2015;4(8):57-70.


TR Dizin 31688

EBSCO30456


Electronic Journals Library EZB   30356

 DOAJ   30355                                             

WorldCat  30357                                             303573035530355

Academindex   30358

SOBİAD   30359

Scilit   30360


29388 As of 2021, JNRS is licensed under a Creative Commons Attribution-NonCommercial 4.0 International Licence (CC BY-NC).