1. Home
  2. Issues
  3. Volume 31, Issue 1 (2020)
  4. CODAS Method for Multiple Attribute Grou ...

Informatica


CODAS Method for Multiple Attribute Group Decision Making Under 2-Tuple Linguistic Neutrosophic Environment
Volume 31, Issue 1 (2020), pp. 161–184
Pub. online: 23 March 2020      Type: Research Article      Open accessOpen Access
Received
1 March 2019
Accepted
1 November 2019
Published
23 March 2020

Abstract

In this paper, we present the 2-tuple linguistic neutrosophic CODAS model based on the traditional fuzzy CODAS (combinative distance-based assessment) model and some fundamental theories of 2-tuple linguistic neutrosophic information. Firstly, we briefly review the definition of 2-tuple linguistic neutrosophic sets (2TLNSs) and introduce the score function, the accuracy function, operation laws and some aggregation operators of 2TLNNs. Then, the calculation steps of traditional fuzzy CODAS model are briefly presented. Furthermore, by combining the traditional fuzzy CODAS model with 2TLNNs information, the 2-tuple linguistic neutrosophic CODAS model is established and the computing steps for multiple attribute group decision making (MAGDM) are simply depicted. Our presented model is more accurate and effective for considering the combinative form of two distance measurements, including fuzzy weighted Hamming distance (HD) and fuzzy weighted Euclidean distance (ED). Finally, a numerical example for safety assessment of construction project has been given to illustrate this new model and some comparisons between 2TLNNs CODAS model and two 2TLNNs aggregation operators are also made to further illustrate the advantages of the new method.

References

 
Atanassov, K. (1986). Intuitionistic fuzzy sets. Fuzzy Sets and Systems, 20, 87–96.
 
Atanassov, K. (1989). More on intuitionistic fuzzy sets. Fuzzy Sets and Systems, 33, 37–46.
 
Badi, I., Ballem, M., Shetwan, A. (2018). Site selection of desalination plant in LIBYA by using combinative distance-based assessment (CODAS) method. International Journal for Quality Research, 12, 609–623.
 
Balali, V., Zahraie, B., Roozbahani, A. (2014). Integration of ELECTRE III and PROMETHEE II decision-making methods with an interval approach: application in selection of appropriate structural systems. Journal of Computing in Civil Engineering, 28, 297–314.
 
Bolturk, E. (2018). Pythagorean fuzzy CODAS and its application to supplier selection in a manufacturing firm. Journal of Enterprise Information Management, 31, 550–564.
 
Bolturk, E., Kahraman, C. (2018a). Interval-valued intuitionistic fuzzy CODAS method and its application to wave energy facility location selection problem. Journal of Intelligent & Fuzzy Systems, 35, 4865–4877.
 
Bolturk, E., Karasan, A. (2018b). Interval Valued Neutrosophic CODAS Method for Renewable Energy Selection, Vol. 11.
 
Chen, C.T. (2000). Extensions of the TOPSIS for group decision-making under fuzzy environment. Fuzzy Sets and Systems, 114, 1–9.
 
Deng, X.M., Gao, H. (2019). TODIM method for multiple attribute decision making with 2-tuple linguistic Pythagorean fuzzy information. Journal of Intelligent & Fuzzy Systems, 37, 1769–1780.
 
Gao, H., Lu, M., Wei, Y. (2019). Dual hesitant bipolar fuzzy hamacher aggregation operators and their applications to multiple attribute decision making. Journal of Intelligent & Fuzzy Systems, 37, 5755–5766.
 
Gomes, L., Lima, M. (1979). TODIM: basics and application to multicriteria ranking of projects with environmental impacts. Foundations of Computing and Decision Sciences, 16, 113–127.
 
He, T.T., Wei, G.W., Lu, J.P., Wei, C., Lin, R. (2019a). Pythagorean 2-tuple linguistic VIKOR method for evaluating human factors in construction project management. Mathematics, 7, 1149.
 
He, T.T., Wei, G.W., Lu, C.W., Wei, C., Lin, R. (2019b). Pythagorean 2-tuple linguistic taxonomy method for supplier selection in medical instrument industries. International Journal of Environmental Research and Public Health, 16, 4875.
 
Herrera, F., Martinez, L. (2001). The 2-tuple linguistic computational model. Advantages of its linguistic description, accuracy and consistency. International Journal of Uncertainty Fuzziness and Knowledge-Based Systems, 9, 33–48.
 
Ju, D.W., Ju, Y.B., Wang, A.H. (2018). Multiple attribute group decision making based on Maclaurin symmetric mean operator under single-valued neutrosophic interval 2-tuple linguistic environment. Journal of Intelligent & Fuzzy Systems, 34, 2579–2595.
 
Karasan, A., Bolturk, E., Kahraman, C. (2019). An integrated methodology using neutrosophic CODAS & fuzzy inference system: assessment of livability index of urban districts. Journal of Intelligent & Fuzzy Systems, 36, 5443–5455.
 
Keshavarz Ghorabaee, M., Zavadskas, E.K., Olfat, L., Turskis, Z. (2015). Multi-criteria inventory classification using a new method of evaluation based on distance from average solution (EDAS). Informatica, 26, 435–451.
 
Keshavarz Ghorabaee, M., Zavadskas, E.K., Turskis, Z., Antucheviciene, J. (2016). A new combinative distance distance-based assessment (CODAS) method for multi-criteria decision-making. Economic Computation and Economic Cybernetics Studies and Research, 50, 25–44.
 
Keshavarz Ghorabaee, M., Amiri, M., Zavadskas, E.K., Hooshmand, R., Antucheviciene, J. (2017). Fuzzy extension of the CODAS method for multi-criteria market segment evaluation. Journal of Business Economics and Management, 18, 1–19.
 
Li, Z.X., Lu, M. (2019). Some novel similarity and distance and measures of Pythagorean fuzzy sets and their applications. Journal of Intelligent & Fuzzy Systems, 37, 1781–1799.
 
Lu, J.P., Wei, C. (2019). TODIM method for performance appraisal on social-integration-based rural reconstruction with interval-valued intuitionistic fuzzy information. Journal of Intelligent & Fuzzy Systems, 37, 1731–1740.
 
Lu, J.P., Tang, X.Y., Wei, G.W., Wei, C., Wei, Y. (2019a). Bidirectional project method for dual hesitant Pythagorean fuzzy multiple attribute decision-making and their application to performance assessment of new rural construction. International Journal of Intelligent Systems, 34, 1920–1934.
 
Lu, J.P., Wei, C., Wu, J., Wei, G.W. (2019b). TOPSIS method for probabilistic linguistic MAGDM with entropy weight and its application to supplier selection of new agricultural machinery products. Entropy, 21, 953.
 
Opricovic, S., Tzeng, G.H. (2004). Compromise solution by MCDM methods: a comparative analysis of VIKOR and TOPSIS. European Journal of Operational Research, 156, 445–455.
 
Pamucar, D., Cirovic, G. (2015). The selection of transport and handling resources in logistics centers using multi-attributive border approximation area comparison (MABAC). Expert Systems with Applications, 42, 3016–3028.
 
Pamucar, D., Badi, I., Sanja, K., Obradovic, R. (2018). A novel approach for the selection of power-generation technology using a linguistic neutrosophic CODAS method: a case study in Libya. Energies, 11.
 
Peng, X.D., Garg, H. (2018). Algorithms for interval-valued fuzzy soft sets in emergency decision making based on WDBA and CODAS with new information measure. Computers & Industrial Engineering, 119, 439–452.
 
Rashid, T., Faizi, S., Xu, Z.S., Zafar, S. (2018). ELECTRE-based outranking method for multi-criteria decision making using hesitant intuitionistic fuzzy linguistic term sets. International Journal of Fuzzy Systems, 20, 78–92.
 
Ren, J.Z. (2018). Sustainability prioritization of energy storage technologies for promoting the development of renewable energy: a novel intuitionistic fuzzy combinative distance-based assessment approach. Renewable Energy, 121, 666–676.
 
Smarandache, F. (1999). A Unifying Field in Logics. Neutrosophy: Neutrosophic Probability, Set and Logic. American Research Press, Rehoboth, NM, USA.
 
Smarandache, F. (2003). A Unifying Field in Logics: Neutrosophic Logic. Neutrosophy, Neutrosophic Set, Neutrosophic Probability and Statistics. American Research Press, Phoenix, AZ, USA.
 
Tang, X.Y., Wei, G.W. (2019a). Dual hesitant Pythagorean fuzzy Bonferroni mean operators in multi-attribute decision making. Archives of Control Sciences, 29, 339–386.
 
Tang, X.Y., Wei, G.W. (2019b). Multiple attribute decision making with dual hesitant Pythagorean fuzzy information. Cognitive Computation, 11, 193–211.
 
Tang, X.Y., Wei, G.W., Gao, H. (2019). Models for multiple attribute decision making with interval-valued Pythagorean fuzzy muirhead mean operators and their application to green suppliers selection. Informatica, 30, 153–186.
 
Wang, R. (2019). Research on the application of the financial investment risk appraisal models with some interval number muirhead mean operators. Journal of Intelligent & Fuzzy Systems, 37, 1741–1752.
 
Wang, H., Smarandache, F., Zhang, Y.Q., Sunderraman, R. (2010). Single valued neutrosophic sets. Multispace Multistruct, 4, 410–413.
 
Wang, J., Wei, G., Wei, Y. (2018a). Models for Green supplier selection with some 2-tuple linguistic neutrosophic number Bonferroni mean operators. Symmetry-Basel, 10.
 
Wang, J., Wei, G.W., Lu, M. (2018b). An extended VIKOR method for multiple criteria group decision making with triangular fuzzy neutrosophic numbers. Symmetry-Basel, 10, 497.
 
Wang, J., Wei, G.W., Lu, M. (2018c). TODIM method for multiple attribute group decision making under 2-tuple linguistic neutrosophic environment. Symmetry-Basel, 10.
 
Wang, J., Gao, H., Lu, M. (2019a). Approaches to strategic supplier selection under interval neutrosophic environment. Journal of Intelligent & Fuzzy Systems, 37, 1707–1730.
 
Wang, J., Gao, H., Wei, G. (2019b). Some 2-tuple linguistic neutrosophic number Muirhead mean operators and their applications to multiple attribute decision making. Journal of Experimental & Theoretical Artificial Intelligence, 31, 409–439.
 
Wang, J., Gao, H., Wei, G.W. (2019c). Some 2-tuple linguistic neutrosophic number Muirhead mean operators and their applications to multiple attribute decision making. Journal of Experimental & Theoretical Artificial Intelligence, 31, 409–439.
 
Wang, J., Lu, J., Wei, G., Lin, R., Wei, C. (2019d). Models for MADM with single-valued neutrosophic 2-tuple linguistic muirhead mean operators. Mathematics, 7.
 
Wang, J., Lu, J.P., Wei, G.W., Lin, R., Wei, C. (2019e). Models for MADM with single-valued neutrosophic 2-tuple linguistic muirhead mean operators. Mathematics, 7. https://doi.org/10.3390/math7050442.
 
Wang, J., Wei, G.W., Lu, J.P., Alsaadi, F.E., Hayat, T., Wei, C., Zhang, Y. (2019f). Some q-rung orthopair fuzzy Hamy mean operators in multiple attribute decision-making and their application to enterprise resource planning systems selection. International Journal of Intelligent Systems, 34, 2429–2458.
 
Wang, J., Wei, G.W., Wei, C., Wei, Y. (2019g). Dual hesitant q-rung orthopair fuzzy muirhead mean operators in multiple attribute decision making. IEEE Access, 7, 67139–67166.
 
Wang, P., Wang, J., Wei, G. (2019h). EDAS method for multiple criteria group decision making under 2-tuple linguistic neutrosophic environment. Journal of Intelligent & Fuzzy Systems, 37, 1597–1608.
 
Wang, P., Wang, J., Wei, G.W. (2019i). EDAS method for multiple criteria group decision making under 2-tuple linguistic neutrosophic environment. Journal of Intelligent & Fuzzy Systems, 37, 1597–1608.
 
Wang, P., Wang, J., Wei, G.W., Wei, C., Wei, Y. (2019j). The multi-attributive border approximation area comparison (MABAC) for multiple attribute group decision making under 2-tuple linguistic neutrosophic environment. Informatica, 30, 799–818.
 
Wei, Y., Yu, Q., Liu, J., Cao, Y. (2018). Hot money and China’s stock market volatility: Further evidence using the GARCH-MIDAS model. Physica A: Statistical Mechanics and its Applications, 492, 923–930.
 
Wei, G.W. (2019a). 2-tuple intuitionistic fuzzy linguistic aggregation operators in multiple attribute decision making. Iranian Journal of Fuzzy Systems, 16, 159–174.
 
Wei, G.W. (2019b). The generalized dice similarity measures for multiple attribute decision making with hesitant fuzzy linguistic information. Economic Research-Ekonomska Istrazivanja, 32, 1498–1520.
 
Wei, G.W., Wei, C., Wu, J., Wang, H.J. (2019a). Supplier selection of medical consumption products with a probabilistic linguistic MABAC method. International Journal of Environmental Research and Public Health, 16, 5082.
 
Wei, G., Wu, J., Wei, C., Wang, J., Lu, J. (2019b). Models for MADM with 2-tuple linguistic neutrosophic Dombi Bonferroni mean operators. IEEE Access, 7, 108878–108905.
 
Wei, G.W., Wang, J., Lu, M., Wu, J., Wei, C. (2019c). Similarity measures of spherical fuzzy sets based on cosine function and their applications. IEEE Access, 7, 159069–159080.
 
Wei, G.W., Wang, J., Wei, C., Wei, Y., Zhang, Y. (2019d). Dual hesitant Pythagorean fuzzy hamy mean operators in multiple attribute decision making. IEEE Access, 7, 86697–86716.
 
Wei, G.W., Wang, R., Wang, J., Wei, C., Zhang, Y. (2019e). Methods for evaluating the technological innovation capability for the high-tech enterprises with generalized interval neutrosophic number Bonferroni mean operators. IEEE Access, 7, 86473–86492.
 
Wei, G.W., Wu, J., Wei, C., Wang, J., Lu, J.P. (2019f). Models for MADM with 2-tuple linguistic neutrosophic Dombi Bonferroni mean operators. IEEE Access, 7, 108878–108905.
 
Wei, G.W., Zhang, S.Q., Lu, J.P., Wu, J., Wei, C. (2019g). An extended bidirectional projection method for picture fuzzy MAGDM and its application to safety assessment of construction project. IEEE Access, 7, 166138–166147.
 
Wei, Y., Qin, S., Li, X., Zhu, S.R., Wei, G. (2019h). Oil price fluctuation, stock market and macroeconomic fundamentals: Evidence from China before and after the financial crisis. Finance Research Letters, 30, 23–29.
 
Wu, Q., Wu, P., Zhou, L.G., Chen, H.Y., Guan, X.J. (2018a). Some new Hamacher aggregation operators under single-valued neutrosophic 2-tuple linguistic environment and their applications to multi-attribute group decision making. Computers & Industrial Engineering, 116, 144–162.
 
Wu, S., Wang, J., Wei, G., Wei, Y. (2018b). Research on construction engineering project risk assessment with some 2-tuple linguistic neutrosophic Hamy mean operators. Sustainability, 10.
 
Wu, L.P., Gao, H., Wei, C. (2019a). VIKOR method for financing risk assessment of rural tourism projects under interval-valued intuitionistic fuzzy environment. Journal of Intelligent & Fuzzy Systems, 37, 2001–2008.
 
Wu, L.P., Wang, J., Gao, H. (2019b). Models for competiveness evaluation of tourist destination with some interval-valued intuitionistic fuzzy Hamy mean operators. Journal of Intelligent & Fuzzy Systems, 36, 5693–5709.
 
Zadeh, L.A. (1965). Fuzzy Sets. Information and Control, 8, 338–356.
 
Zhang, S.Q., Wei, G.W., Gao, H., Wei, C., Wei, Y. (2019). EDAS method for multiple criteria group decision making with picture fuzzy information and its application to green suppliers selections. Technological and Economic Development of Economy, 26, 1123–1138.

Biographies

Wang Ping

P. Wang is a current master student at Institute of Technology at Sichuan Normal University, Chengdu, 610101, PR China.

Wang Jie

J. Wang is a current master student at School of Business at Sichuan Normal University, Chengdu, 610101, PR China.

Wei Guiwu

G. Wei has an MSc and a PhD degree in applied mathematics from SouthWest Petroleum University, business administration from school of Economics and Management at SouthWest Jiaotong University, China, respectively. From May 2010 to April 2012, he was a Postdoctoral Researcher with the School of Economics and Management, Tsinghua University, Beijing, China. He is a professor in the School of Business at Sichuan Normal University. He has published more than 100 papers in journals, books and conference proceedings including journals such as Omega, Decision Support Systems, Expert Systems with Applications, Applied Soft Computing, Knowledge and Information Systems, Computers & Industrial Engineering, Knowledge-Based Systems, International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, International Journal of Computational Intelligence Systems and Information: An International Interdisciplinary Journal. He has published 1 book. He has participated in several scientific committees and serves as a reviewer in a wide range of journals including Computers & Industrial Engineering, International Journal of Information Technology and Decision Making, Knowledge-Based Systems, Information Sciences, International Journal of Computational Intelligence Systems and European Journal of Operational Research. He is currently interested in aggregation operators, decision making and computing with words.

Wu Jiang

J. Wu has a PhD degree in management science and engineering from Southwest Jiaotong University, China. He is a professor in the School of Statistics at Southwestern University of Finance and Economics, Chengdu, 611130, PR China.

Wei Cun

C. Wei has an MSc degree in applied mathematics from SouthWest Petroleum University. Now, he is a PhD student with School of Statistics, Southwestern University of Finance and Economics, Chengdu, 611130, PR China. He has published more than 10 papers in journals, such as International Journal of Intelligent Systems, Journal of Intelligent and Fuzzy Systems, IEEE Access, Mathematics, Information. He is currently interested in aggregation operators, decision making and computing with words.

Wei Yu
weiyusy@126.com

Y. Wei has an MSc and a PhD degree in management science and engineering from Southwest Jiaotong University, China. He is a professor in the School of Finance at Yunnan University of Finance and Economics. He has published more than 120 papers in journals, books and conference proceedings including journals such as Journal of Forecasting, Journal of Banking & Finance, Empirical Economics, Energy Economics, Economic Modelling, Applied Economics Letters, International Review of Economics & Finance. He has published two book (in Chinese). He has participated in several scientific committees and serves as a reviewer in a wide range of journals including Energy Economics, Journal of Forecasting, Emerging Market Finance and Trade, Physica A. He is currently interested in volatility modelling and forecasting in financial and energy markets, density forecasting and decision making in financial markets.


Full article Related articles Cited by PDF XML
Full article Related articles Cited by PDF XML

Copyright
© 2020 Vilnius University
Open access article under the CC BY license.

Keywords
multiple attribute group decision making (MAGDM) problems 2-tuple linguistic neutrosophic sets (2TLNSs) CODAS model 2-tuple linguistic neutrosophic number weighted average (2TLNNWA) operators 2-tuple linguistic neutrosophic number weighted geometric (2TLNNWG) operators 2TLNNs CODAS model construction project

Funding
This paper is supported by the Natural Science Foundation of China (No. 71571128).

Metrics
since January 2020
1771

Article info
views

990

Full article
views

800

PDF
downloads

317

XML
downloads


Share


RSS