Przedziałowa metoda TOPSIS dla grupowego podejmowania decyzji
DOI:
https://doi.org/10.15290/oes.2018.04.94.19Słowa kluczowe:
liczby przedziałowe, TOPSIS, grupowe podejmowanie decyzjiAbstrakt
Cel – Celem pracy jest przedstawienie nowego podejścia do rankingu wariantów decyzyjnych z danymi przedziałowymi dla grupowego podejmowania decyzji, wykorzystującego metodę TOPSIS.
Metodologia badania – W proponowanym podejściu, wszystkie pojedyncze oceny decydentów są brane pod uwagę w wyznaczaniu końcowych ocen wariantów decyzyjnych oraz ich rankingu. Kluczowym jego elementem jest przekształcenie macierzy decyzyjnych dostarczonych przez decydentów, w macierze wariantów decyzyjnych.
Wynik – Nowe podejście do grupowego podejmowania decyzji, wykorzystującego metodą TOPSIS.
Oryginalność/Wartość – Proponowane podejście jest nowatorskie oraz łatwe w użyciu.
Bibliografia
Chen C.T., 2000, Extensions of the TOPSIS for group decision-making under fuzzy environment, “Fuzzy Sets and Systems”, vol. 114, pp. 1-9.
Cloud M. J., Kearfott R.B., Moore R.E., 2009, Introduction to Interval Analysis, SIAM, Philadelphia.
Dymova L., Sevastjanova P., Tikhonenko A., 2013, A direct interval extension of TOPSIS method, “Expert Systems with Applications”, vol. 40, pp. 4841-4847.
Hu B.Q., Wang S., 2006, A Novel Approach in Uncertain Programming Part I: New Arithmetic and Order Relation for Interval Numbers, “Journal of Industrial and Management Optimization”, vol. 2(4), pp. 351-371.
Hwang C.L., Yoon K. 1981 Multiple Attribute Decision Making: Methods and Applications, Springer-Verlag, Berlin.
Jahanshahloo G.R., Hosseinzadeh Lotfi F., Izadikhah M., 2006, An Algorithmic Method to Extend TOPSIS for Decision Making Problems with Interval Data, “Applied Mathematics and Computation”, vol. 175, pp. 1375-1384.
Kacprzak D., 2017, Objective Weights Based on Ordered Fuzzy Numbers for Fuzzy Multiple Criteria Decision Making Methods, “Entropy”, vol. 19(7), pp. 373.
Kacprzak D., 2018, Metoda SAW z przedziałowymi danymi i wagami uzyskanymi za pomocą przedziałowej entropii Shannona, „Studia Ekonomiczne. Zeszyty Naukowe Uniwersytetu Ekonomicznego w Katowicach”, vol. 348, pp. 144-155.
Kacprzak D., 2019, A doubly extended TOPSIS method for group decision making based on ordered fuzzy numbers, “Expert Systems with Applications”, vol. 116, pp. 243-254.
Roszkowska E., 2009, Application TOPSIS methods for ordering offers in buyer-seller transaction, “OPTIMUM, Studia Ekonomiczne”, vol. 3(43), pp. 117-133.
Roszkowska E., 2011, Multi-Criteria Decision Making Models by Applying the TOPSIS Method to Crisp and Interval Data, “Multiple Criteria Decision Making”, vol. 6, pp. 200-230.
Roszkowska E., Kacprzak D., 2016, The fuzzy SAW and fuzzy TOPSIS procedures based on ordered fuzzy numbers, “Information Sciences”, vol. 369, pp. 564-584.
Rudnik K., Kacprzak D., 2017, Fuzzy TOPSIS method with ordered fuzzy numbers for flow control in a manufacturing system, “Applied Soft Computing”, vol. 52, pp. 1020-1041.
Senvar O., Otay İ., Boltürk E., 2016, Hospital site selection via hesitant fuzzy TOPSIS. “IFAC-PapersOnLine”, vol. 49, pp. 1140-1145.
Shih H.S., Shyur H.J., Lee E.S., 2007, An extension of TOPSIS for group decision making, “Mathematical and Computer Modelling”, vol. 45, pp. 801-813.
Wang T.C., Chang T.H., 2007, Application of TOPSIS in evaluating initial training aircraft under a fuzzy environment, “Expert Systems with Applications”, vol. 33, pp. 870-880.
Ye F., Li Y.N., 2009, Group multi-attribute decision model to partner selection in the formation of virtual enterprise under incomplete information, “Expert Systems with Applications”, vol. 36, pp. 9350-9357.
Yue Z., 2011, An extended TOPSIS for determining weights of decision makers with interval numbers, “Knowledge-Based Systems”, vol. 24, pp. 146-153.
Yue Z., 2012, Developing a straightforward approach for group decision making based on determining weights of decision makers, “Applied Mathematical Modelling”, vol. 36, pp. 4106-4117.
Cloud M. J., Kearfott R.B., Moore R.E., 2009, Introduction to Interval Analysis, SIAM, Philadelphia.
Dymova L., Sevastjanova P., Tikhonenko A., 2013, A direct interval extension of TOPSIS method, “Expert Systems with Applications”, vol. 40, pp. 4841-4847.
Hu B.Q., Wang S., 2006, A Novel Approach in Uncertain Programming Part I: New Arithmetic and Order Relation for Interval Numbers, “Journal of Industrial and Management Optimization”, vol. 2(4), pp. 351-371.
Hwang C.L., Yoon K. 1981 Multiple Attribute Decision Making: Methods and Applications, Springer-Verlag, Berlin.
Jahanshahloo G.R., Hosseinzadeh Lotfi F., Izadikhah M., 2006, An Algorithmic Method to Extend TOPSIS for Decision Making Problems with Interval Data, “Applied Mathematics and Computation”, vol. 175, pp. 1375-1384.
Kacprzak D., 2017, Objective Weights Based on Ordered Fuzzy Numbers for Fuzzy Multiple Criteria Decision Making Methods, “Entropy”, vol. 19(7), pp. 373.
Kacprzak D., 2018, Metoda SAW z przedziałowymi danymi i wagami uzyskanymi za pomocą przedziałowej entropii Shannona, „Studia Ekonomiczne. Zeszyty Naukowe Uniwersytetu Ekonomicznego w Katowicach”, vol. 348, pp. 144-155.
Kacprzak D., 2019, A doubly extended TOPSIS method for group decision making based on ordered fuzzy numbers, “Expert Systems with Applications”, vol. 116, pp. 243-254.
Roszkowska E., 2009, Application TOPSIS methods for ordering offers in buyer-seller transaction, “OPTIMUM, Studia Ekonomiczne”, vol. 3(43), pp. 117-133.
Roszkowska E., 2011, Multi-Criteria Decision Making Models by Applying the TOPSIS Method to Crisp and Interval Data, “Multiple Criteria Decision Making”, vol. 6, pp. 200-230.
Roszkowska E., Kacprzak D., 2016, The fuzzy SAW and fuzzy TOPSIS procedures based on ordered fuzzy numbers, “Information Sciences”, vol. 369, pp. 564-584.
Rudnik K., Kacprzak D., 2017, Fuzzy TOPSIS method with ordered fuzzy numbers for flow control in a manufacturing system, “Applied Soft Computing”, vol. 52, pp. 1020-1041.
Senvar O., Otay İ., Boltürk E., 2016, Hospital site selection via hesitant fuzzy TOPSIS. “IFAC-PapersOnLine”, vol. 49, pp. 1140-1145.
Shih H.S., Shyur H.J., Lee E.S., 2007, An extension of TOPSIS for group decision making, “Mathematical and Computer Modelling”, vol. 45, pp. 801-813.
Wang T.C., Chang T.H., 2007, Application of TOPSIS in evaluating initial training aircraft under a fuzzy environment, “Expert Systems with Applications”, vol. 33, pp. 870-880.
Ye F., Li Y.N., 2009, Group multi-attribute decision model to partner selection in the formation of virtual enterprise under incomplete information, “Expert Systems with Applications”, vol. 36, pp. 9350-9357.
Yue Z., 2011, An extended TOPSIS for determining weights of decision makers with interval numbers, “Knowledge-Based Systems”, vol. 24, pp. 146-153.
Yue Z., 2012, Developing a straightforward approach for group decision making based on determining weights of decision makers, “Applied Mathematical Modelling”, vol. 36, pp. 4106-4117.
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28.01.2019
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Przedziałowa metoda TOPSIS dla grupowego podejmowania decyzji. (2019). Optimum. Economic Studies, 4(94), 256-273. https://doi.org/10.15290/oes.2018.04.94.19
