Abstract
As a generalization of intuitionistic fuzzy set (IFS) and Pythagorean fuzzy set (PFS), q-rung orthopair fuzzy set (q-ROFS) is a new concept in describing complex fuzzy uncertainty information. The present work focuses on the multiattribute group decision-making (MAGDM) approach under the q-rung orthopair fuzzy information. To begin with, some drawbacks of the existing MAGDM methods based on aggregation operators (AOs) are firstly analyzed. In addition, some improved operational laws put forward to overcome the drawbacks along with some properties of the operational law are proved. Thirdly, we put forward the improved q-rung orthopair fuzzy-weighted averaging (q-IROFWA) aggregation operator and improved q-rung orthopair fuzzy-weighted power averaging (q-IROFWPA) aggregation operator and present some of their properties. Then, based on the q-IROFWA operator and q-IROFWPA operator, we proposed a new method to deal with MAGDM problems under the fuzzy environment. Finally, some numerical examples are provided to illustrate the feasibility and validity of the proposed method.
Highlights
Decision-making is an inseparable science in human daily life, and its ideas and methods have been applied to many aspects of real life such as systems engineering, regional planning and design, and operational research.In the process of decision-making, because of the fuzziness of human thinking, the uncertainty of decision-making information and the complexity of objective things, it is difficult for decision makers to give accurate evaluation values for different schemes
Considering that the PA operator can reduce the impact of irrational data given by biased decision makers, we extend the power average (PA) operator [38] to deal with q-rung orthopair fuzzy set (q-ROFS) and based on the qIROFWA and q-IROFWPA operator we proposed a new method to deal with MAGDM problems
We analyze the relative shortcoming of Xu’s IFPWA [38], Liu’s q-ROFWA [31], and Liu et al.’s ROFPWMSW Operator [32] is shown as follows: (1) e shortcoming of Xu’s IFPWA Operator [38]: first, information is described by IFN, which must meet the restriction that membership degree (MD) u and nonmembership degree (NMD) v satisfy the formula u + v ≤ 1
Summary
Decision-making is an inseparable science in human daily life, and its ideas and methods have been applied to many aspects of real life such as systems engineering, regional planning and design, and operational research. Motivated by the new operational laws developed by He et al [37], we propose some improved operational laws for qROFS to surmount the drawbacks firstly, and develop an improved q-rung orthopair fuzzy-weighted averaging (qIROFWA) aggregation operator. Considering that the PA operator can reduce the impact of irrational data given by biased decision makers, we extend the power average (PA) operator [38] to deal with q-ROFS and based on the qIROFWA and q-IROFWPA operator we proposed a new method to deal with MAGDM problems. E contributions of this paper are as follows: (1) some drawbacks of the existing aggregation operator are reviewed and analyzed; (2) proposed new aggregation operators containing the q-IROFWA operator and q-IROFWPA operator; (3) proposed a new method to deal with MAGDM problems based on the q-IROFWA and q-IROFWPA operator; (4) some numerical examples are provided to verify the feasibility and practicability of the new method.
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