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Author:

Yang, Zaoli (Yang, Zaoli.) | Garg, Harish (Garg, Harish.)

Indexed by:

EI Scopus SCIE

Abstract:

The q-rung orthopair uncertain linguistic set, which combines the q-rung orthopair fuzzy set and uncertain linguistic variable, can simultaneously represent the quantitative and qualitative information given by experts. In the procedure of addressing q-rung orthopair uncertain linguistic information, to eliminate extreme evaluation values for arguments and capture the multilayer heterogeneous relationship among the membership function and attributes, q-rung orthopair uncertain linguistic interaction power partitioned Maclaurin Symmetric mean operators are presented in this paper. Firstly, we introduce the interaction operational rules between q-rung orthopair uncertain linguistic sets. Then, we integrate the power average operator and partitioned Maclaurin Symmetric mean (PMSM) operator into a framework and present the power PMSM (PPMSM) operator. Furthermore, we embed the PPMSM operator into the q-rung orthopair uncertain linguistic sets based on the interaction operational laws and propose the q-rung orthopair uncertain linguistic interaction power partitioned Maclaurin Symmetric mean operator and its weighted form. Meanwhile, we analyze some properties and special cases of the proposed operators. Afterward, we report an algorithm that we developed for handling multi-attribute decision-making problems based on the proposed operator. Finally, we conduct case studies and comparison analysis over existing methods to demonstrate the effectiveness and superiority of the proposed algorithm.

Keyword:

q-Rung orthopair uncertain linguistic set Multi-attribute decision-making Interaction operator q-Rung orthopair uncertain linguistic interaction power partitioned Maclaurin Symmetric mean operator

Author Community:

  • [ 1 ] [Yang, Zaoli]Beijing Univ Technol, Coll Econ & Management, Beijing 100124, Peoples R China
  • [ 2 ] [Garg, Harish]Thapar Inst Engn & Technol, Sch Math, Patiala 147004, Punjab, India

Reprint Author's Address:

  • [Garg, Harish]Thapar Inst Engn & Technol, Sch Math, Patiala 147004, Punjab, India

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Source :

INTERNATIONAL JOURNAL OF FUZZY SYSTEMS

ISSN: 1562-2479

Year: 2021

Issue: 2

Volume: 24

Page: 1079-1097

4 . 3 0 0

JCR@2022

ESI Discipline: ENGINEERING;

ESI HC Threshold:87

JCR Journal Grade:2

Cited Count:

WoS CC Cited Count: 17

SCOPUS Cited Count: 31

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 3

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