Score-Based Multiple Criteria Decision Making Process by Using P-Rung Orthopair Fuzzy Sets

Farhadinia, Bahram; Liao, Huchang

doi:10.15388/20-INFOR412

Informatica

Score-Based Multiple Criteria Decision Making Process by Using P-Rung Orthopair Fuzzy Sets

Volume 32, Issue 4 (2021), pp. 709–739

Bahram Farhadinia

Huchang Liao

https://doi.org/10.15388/20-INFOR412

Pub. online: 20 December 2021 Type: Research Article

Received
1 June 2019

Accepted
1 March 2020

Published
20 December 2021

Abstract

A p-rung orthopair fuzzy set (p-ROFS) describes a generalization of intuitionistic fuzzy set and Pythagorean fuzzy set in the case where we face a larger representation space of acceptable membership grades, and moreover, it gives a decision maker more flexibility in expressing his/her real preferences. Under the p-rung orthopair fuzzy environment, we are going to propose a novel and parametrized score function of p-ROFSs by incorporating the idea of weighted average of the degree of membership and non-membership functions. In view of this fact, this study is further undertaken to investigate and present different properties of the proposed score function for p-ROFSs. Moreover, we indicate that this ranking technique reduces some of the drawbacks of the existing ones. Eventually, we develop an approach based on the above-mentioned ranking technique to deal with multiple criteria decision making problems with p-rung orthopair fuzzy information.

References

Atanassov, K.T. ( 1986). Intuitionistic fuzzy sets. Fuzzy Sets and Systems, 20, 87– 96.

Chen, S.M., Cheng, S.H., Lan, T.C. ( 2016). Multicriteria decision making based on the TOPSIS method and similarity measures between intuitionistic fuzzy values. Information Sciences: An International Journal, 367, 279– 295.

Cong, B. ( 2014). Picture fuzzy sets. Journal of Computer Science and Cybernetics, 30, 409– 420.

Du, W.S. ( 2018). Minkowski-type distance measures for generalized orthopair fuzzy sets. International Journal of Intelligent Systems, 33, 802– 817.

Farhadinia, B. ( 2014). A novel method of ranking hesitant fuzzy values for multiple attribute decision-making problems. International Journal of Intelligent Systems, 29, 184– 205.

Farhadinia, B. ( 2016a). Determination of entropy measures for the ordinal scale-based linguistic models. Information Sciences: An International Journal, 369, 63– 79.

Farhadinia, B. ( 2016b). Multiple criteria decision-making methods with completely unknown weights in hesitant fuzzy linguistic term setting. Knowledge-Based Systems, 93, 135– 144.

Farhadinia, B., Xu, Z.S. ( 2017). Distance and aggregation-based methodologies for hesitant fuzzy decision making. Cognitive Computation, 9, 81– 94.

Farhadinia, B., Herrera-Viedma, E. ( 2018). Entropy measures for extended hesitant fuzzy linguistic term sets using the concept of interval-transformed hesitant fuzzy elements. International Journal of Fuzzy Systems, 20, 2122– 2134.

Garg, H. ( 2016). A new generalized improved score function of interval-valued intuitionistic fuzzy sets and applications in expert systems. Applied Soft Computing, 38, 988– 999.

Lai, Y.J., Liu, T.Y., Hwang, C.L. ( 1994). TOPSIS for MODM. European Journal of Operational Research, 76, 486– 500.

Liou, J.J.H., Tsai, C.Y., Lin, R.H., Tzeng, G.H. ( 2011). A modified VIKOR multiple-criteria decision making for improving domestic airlines service quality. Journal of Air Transport Management, 17, 57– 61.

Liu, P., Liu, J. ( 2018). Some q-rung orthopai fuzzy Bonferroni mean operators and their application to multi-attribute group decision making. International Journal of Intelligent Systems, 33, 315– 347.

Liu, P., Wang, P. ( 2019). Multiple-attribute decision-making based on Archimedean Bonferroni operators of q-rung orthopair fuzzy numbers. IEEE Transactions on Fuzzy Systems, 27, 834– 848.

Liu, P.D., Wang, P. ( 2018). Some q-rung orthopair fuzzy aggregation operators and their applications to multiple-attribute decision making. International Journal of Intelligent Systems, 33, 259– 280.

Peng, X., Dai, J., Garg, H. ( 2018). Exponential operation and aggregation operator for q-rung orthopair fuzzy set and their decision making method with a new score function. International Journal of Intelligent Systems, 33( 11). https://doi.org/10.1002/int.22028.

Si, A., Das, S., Kar, S. ( 2019). An approach to rank picture fuzzy numbers for decision making problems. Decision Making: Applications in Management and Engineering, 2, 54– 64.

Wei, G., Gao, H., Wei, Y. ( 2018). Some q-rung orthopair fuzzy Heronian mean operators in multiple attribute decision making. International Journal of Intelligent Systems, 33, 1426– 1458.

Yager, R.R. ( 2013). Pythagorean fuzzy subsets. In: Proceedings of the Joint IFSAWorld Congress and NAFIPS Annual Meeting, pp. 57– 61.

Yager, R.R. ( 2017). Generalized orthopair fuzzy sets. IEEE Transactions on Fuzzy Systems, 25, 1222– 1230.

Zadeh, L.A. ( 1965). Fuzzy set. Information and Control, 8, 338– 353.

Zhang, X.L., Xu, Z.S. ( 2014). Extension of topsis to multiple criteria decision making with pythagorean fuzzy sets. International Journal of Intelligent Systems, 29, 1061– 1078.

Zhang, F., Chen, J., Zhu, Y., Zhuang, Z., Li, J. ( 2018). Generalized score functions on interval-valued intuitionistic fuzzy sets with preference parameters for different types of decision makers and their application. Applied Intelligence. https://doi.org/10.1007/s10489-018-1184-4.

Zhang, F., Wang, S., Sun, J., Ye, J., Liew, G.K. ( 2019). Novel parameterized score functions on interval-valued intuitionistic fuzzy sets with three fuzziness measure indexes and their application. IEEE Access, 7, 8172– 8180.

Zhang, C., Liao, H., Luo, L. ( 2019). Additive consistency-based priority-generating method of q-rung orthopair fuzzy preference relation. International Journal of Intelligent Systems, 34, 2151– 2176.

Zhang, C., Liao, H., Luo, L., Xu, Z.S. in press. Multiplicative consistency analysis for q-rung orthopair fuzzy preference relation. International Journal of Intelligent Systems. https://doi.org/10.1002/int.22197.

Biographies

Farhadinia Bahram

https://orcid.org/0000-0003-2580-8789

bfarhadinia@qiet.ac.ir

B. Farhadinia is an associate professor at Quchan University of Technology, Iran. He has published 2 monographs, 1 chapter, and more than 50 peer-reviewed papers, many in high-quality international journals including Cognitive Computation, Knowledge-Based Systems, Soft Computing, Iranian Journal of Fuzzy Systems, Information Sciences. He is an Iranian Highly Cited Researcher since 2019.

Liao Huchang

liaohuchang@scu.edu.cn

H. Liao is a research fellow at the Business School, Sichuan University, Chengdu, China. He has published 3 monographs, 1 chapter, and more than 200 peer-reviewed papers, many in high-quality international journals including European Journal of Operational Research, Omega, IEEE Transactions on Fuzzy Systems, IEEE Transaction on Cybernetics, Information Sciences. He is a Highly Cited Researcher since 2019 and the Senior Member of IEEE since 2017.

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p-rung orthopair fuzzy set multiple criteria decision making score function

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