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Abstract

In this manuscript we develop a comprehensive model to tackle decision making problems where strong points of view are in the favor and against some projects, entities or plans. Therefore a new approach is adopted to hybrid q-rung orthopair fuzzy sets with notions of covering rough set and TOPSIS. This model has stronger capability than intuitionistic fuzzy set and Pythagorean fuzzy set to manage the uncertainty. Furthermore an example is given to demonstrate how the proposed method helps us in decision making problems.

Keywords

Fuzzy sets q-rung orthopair fuzzy sets covering based q-rung orthopair fuzzy rough set q-rung orthopair fuzzy TOPSIS methodology

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References

M.I.

Ali , Another view on q-rung orthopair fuzzy sets, International Journal of Intelligent Systems 33 (2018), 2139–2153.

K.T.

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

Huang ,

Guo ,

Zhang ,

Li and

Zhou , An intuitioistic fuzzy graded covering rough sets, Knowledge-Based Systems 107 (2016), 155–178.

D’eer ,

Restrepo ,

Cornelis and

Gómez , Neighborhood operators for covering-based rough sets, Information Sciences 336 (2016), 21–44.

D’eer ,

Cornelis and

Godo , Fuzzy neighborhood operators based on fuzzy coverings, Fuzzy Sets and Systems 312 (2017), 17–35.

Dubois and

Prade , Rough fuzzy sets and fuzzy rough sets, International Journal of General System 17 (1989), 191–209.

W.S.

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

Gomila , Emergence of carbapenemases in Pseudomonas aeruginosa: A worldwide problem, Expert review of anti-infective therapy 12 (2014), 9–11.

Liang and

Xu , The new extension of TOPSIS method for multiple criteria decision making with hesitant Pythagorean fuzzy sets, Applied Soft Computing 60 (2017), 167–179.

10.

Liu and

Lin , Intuitionistic fuzzy rough set model based on conflict distance and applications, Applied Soft Computing 31 (2015), 266–273.

11.

Liu and

Sai , A comparison of two types of rough sets induced by coverings, International Journal of Approximate Reasoning 50 (2009), 521–528.

12.

Ma , Two fuzzy covering rough set models and their generalizations over fuzzy lattices, Fuzzy Sets and Systems 294 (2016), 1–17.

13.

Martis ,

Leroy and

Blanc , Colistin in multi-drug resistant Pseudomonas aeruginosa blood-stream infections: A narrative review for the clinician, Journal of Infection 69 (2014), 1–12.

14.

Mohagheghi ,

S.M.

Mousavi and

Vahdani , Enhancing decision-making flexibility by introducing a new last aggregation evaluating approach based on multi-criteria group decision making and Pythagorean fuzzy sets, Applied Soft Computing 61 (2017), 527–535.

15.

Pawlak , Rough sets, International journal of computer & information sciences 11 (1982), 341–356.

16.

Ren ,

Xu and

Gou , Pythagorean fuzzy TODIM approach to multi-criteria decision making, Applied Soft Computing 42 (2016), 246–259.

17.

Wang ,

Shao ,

Sun and

Hu , An improved attribute reduction scheme with covering based rough sets, Applied Soft Computing 26 (2015), 235–243.

18.

Wei ,

Gao , and

Wei , Some q-rung orthopair fuzzy Heronian mean operators in multiple attribute decision making, International Journal of Intelligent Systems (2018), https://doi.org/10.1002/int.21985.

19.

Wu ,

Chang ,

Cao and

Liang , A trust propagation and collaborative filtering based method for incomplete information in social network group decision making with type-2 linguistic trust, Computers & Industrial Engineering (2018).

20.

M.F.

Wu ,

H.H.

Han and

Y.F.

Si , Properties and axioma-tization of fuzzy rough sets based on fuzzy coverings, in, Proceedings of the International Conference on Machine Learning and Cybernetics 1 (2012), 184–189.

21.

Wu ,

Sun ,

Fujita and

Chiclana , An attitudinal consensus degree to control the feedback mechanism in group decision making with different adjustment cost, Knowledge-Based Systems 164 (2019), 265–273.

22.

W.H.

Xu and

W.X.

Zhang , Measuring roughness of generalized rough sets induced by a covering, Fuzzy sets and systems 158 (2007), 2443–2455.

23.

R.R.

Yager and

A.M.

Abbasov , Pythagorean membership grades, complex numbers, and decision making, International Journal of Intelligent Systems 28 (2013), 436–452.

24.

R.R.

Yager , Pythagorean membership grades in multicrite-ria decision making, IEEE Transactions Fuzzy System 22 (2014), 958–965.

25.

R.R.

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

26.

R.R.

Yager and

Alajlan , Approximate reasoning with generalized orthopair fuzzy sets, Information Fusion 38 (2017), 65–73.

27.

Yang and

B.Q.

Hu , On some types of fuzzy covering-based on rough sets, Fuzzy Sets Systems 312 (2017), 36–65.

28.

K.P.

Yoon and

C.L.

Hwang , Multiple attribute decision making an introduction, Sage publications 104 (1995).

29.

L.A.

Zadeh , Fuzzy sets, Inform Control 8 (1965), 338–356.

30.

Zakowski , Approximations in the space (U, π), Demonstration Mathematica 16 (1983), 761–769.

31.

Zhan and

Sun , Covering-based intuitionistic fuzzy rough sets and applications in multi-attribute decision-making, Artificial Intelligence Review (2018), 1–31.

32.

Zhang ,

Dong and

Herrera-Viedma , Group Decision Making with Heterogeneous Preference Structures: An Automatic Mechanism to Support Consensus Reaching, Group Decision and Negotiation (2019), 1–33.

33.

Zhang and

Xu , Extension of TOPSIS to multiple criteria decision making with Pythagorean fuzzy sets, International Journal of Intelligent Systems 29 (2014), 1061–1078.

34.

Zhu , Topological approaches to covering rough sets, Information sciences 177 (2007), 1499–1508.

35.

Zhu and

F.Y.

Wang , On three types of covering based rough sets, IEEE transactions on knowledge and data engineering 19 (2007), 1131–1144.

Covering based q-rung orthopair fuzzy rough set model hybrid with TOPSIS for multi-attribute decision making

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Keywords

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