Abstract

In this paper, complex q-rung orthopair uncertain linguistic sets (CQROULSs) for handling multi-attribute decision making (MADM) issues are proposed so that the assessed estimation of each trait can be presented by CQROULS. Another aggregation operator, called the partitioned Bonferroni mean (PBM) operator, is then considered to manage the circumstances under fuzziness. At that point, the PBM operator is stretched out to CQROULSs in which a complex q-rung orthopair uncertain linguistic partitioned Bonferroni mean (CQROULPBM) operator is then proposed. To wipe out the negative impact of preposterous assessment estimations of characteristics on total outcomes, complex q-rung orthopair uncertain linguistic weighted partitioned Bonferroni mean (CQROULWPBM) operator is further considered. These properties, idempotency, boundedness, and commutativity of the CQROULWPBM operator are obtained. The proposed CQROULSs with the CQROULWPBM operator is novel and important for MADM issues. Finally, an MADM based on CQROULSs is constructed with a numerical case given to delineate the proposed approach and then applied for selecting an antivirus mask for the COVID-19 pandemic. The advantages and comparative analysis with graphical interpretation of the explored operators are also presented to demonstrate the effectiveness and usefulness of the proposed method.

Highlights

  • Published: 2 February 2021Multi-attribute decision making (MADM) issues are inescapable in the field of board science

  • Bonferroni mean (CQROULPBM) operators, are proposed. We investigate their special cases of CQROULPBM operators

  • The notion of CQROULS composes two kind of information, uncertain linguistic variable (ULV) and complex q-rung orthopair fuzzy sets (CQROFSs), with a condition that the sum of q-power of the real parts of the supporting and supporting against grades cannot be exceeded from a unit interval

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Summary

Introduction

Multi-attribute decision making (MADM) issues are inescapable in the field of board science. The theories of CIFS and CPFS again fail, when a decision-maker provides such kind of values, whose sum of the squares of the real part ( for the imaginary part) of the both grades exceeds the unit interval To cope with such kind of issues, the theory of complex. To broad the scope of the supporting grade reaching out from the unit plate in the form of complex number belonging to unit disc in a complex plane, we propose complex q-rung orthopair uncertain linguistic sets (CQROULSs) in this paper. We use CQROULSs for handling MADM issues as the assessed estimation of each trait and propose the complex q-rung orthopair uncertain linguistic partitioned Bonferroni mean (CQROULPBM) operator.

Preliminaries
Proposed Complex q-Rung Orthopair Uncertain Linguistic Sets
Partitioned Bonferroni Mean Operators Based on CQROULSs
MADM Method Based on CQROULSs with Application in Antivirus
On Antivirus Mask Selection for the COVID-19 Pandemic
Representation
Comparative Analysis and Graphical Interpretations of the Proposed Approach
Ranking Results
Tables graphical representafor Tables
Conclusions
Full Text
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