Abstract
As an effective technique to qualitatively depict assessment information, a linguistic intuitionistic fuzzy number (LIFN) is more appropriate to portray vagueness and indeterminacy in actual situations than intuitionistic fuzzy number (IFN). The prominent feature of a Muirhead mean (MM) operator is that it has the powerful ability to capture the correlations between any input-data and MM operator covers other common operators by assigning the different parameter vectors. In the article, we first analyze the limitations of the existing ranking approaches of LIFN and propose a novel ranking approach to surmount these limitations. Secondly, we propound several novel MM operators to fuse linguistic intuitionistic fuzzy (LIF) information, such as the LIF Muirhead mean (LIFMM) operator, the weighted LIF Muirhead mean (WLIFMM) operator and their dual operators, the LIFDMM operator and the WLIFDMM operator. Subsequently, we discuss several desirable properties along with exceptional cases of them. Moreover, two novel multiple attribute group decision-making approaches are developed based upon these operators. Ultimately, the effectuality and practicability of the propounded methods are validated through dealing with a global supplier selection issue, and the comparative analysis and the merits of the presented approaches are demonstrated by comparing them with existing approaches.
Highlights
Decision-making (DM) is one of the most vital and fundamental missions of management, and it is an important activity for an organization to achieve its ultimate goal
Based upon the aforementioned analyses, we can derive the following results: (1)the linguistic intuitionistic fuzzy number (LIFN) synthesize the advantage of intuitionistic fuzzy number (IFN) and linguistic variables (LV), which can efficiently express qualitative assessment information in complex fuzzy environment; (2) Muirhead mean (MM) operator can seize the correlations of multi-data through the parameter vector, and it is a universalization operator of several existing operators
By the means of the academic think in [64], we present a novel ranking approach which synthetically takes into account the hesitancy degree and positive ideal solution of LIFN
Summary
Decision-making (DM) is one of the most vital and fundamental missions of management, and it is an important activity for an organization to achieve its ultimate goal. Based upon the aforementioned analyses, we can derive the following results: (1)the LIFN synthesize the advantage of IFN and LV, which can efficiently express qualitative assessment information in complex fuzzy environment; (2) MM operator can seize the correlations of multi-data through the parameter vector, and it is a universalization operator of several existing operators. We combine the LIFN with MM operator to propound several novel aggregation operators to resolve the actual decision problems that consider the correlations of attribute in the decision process. To study several paramount properties and particular instances of the developed operators; to propose two MAGDM approaches based upon the WLIFMM operator and the WLIFDMM operator; to demonstrate the significant merits of the presented methods through a comparative analysis and parameter analysis. Several conclusions of this paper are given in the end
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